Isogeometric analysis: An overview and computer implementation aspects

Isogeometric analysis (IGA) represents a recently developed technology in computational mechanics that offers the possibility of integrating methods for analysis and Computer Aided Design (CAD) into a single, unified process. The implications to practical engineering design scenarios are profound, s...

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Published in	Mathematics and computers in simulation Vol. 117; pp. 89 - 116
Main Authors	Nguyen, Vinh Phu, Anitescu, Cosmin, Bordas, Stéphane P.A., Rabczuk, Timon
Format	Journal Article
Language	English
Published	Elsevier B.V 01.11.2015
Subjects	CAD Finite elements Isogeometric analysis Isogeometric collocation NURBS Isogeometric analysis Isogeometric collocation Finite elements CAD NURBS
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Abstract	Isogeometric analysis (IGA) represents a recently developed technology in computational mechanics that offers the possibility of integrating methods for analysis and Computer Aided Design (CAD) into a single, unified process. The implications to practical engineering design scenarios are profound, since the time taken from design to analysis is greatly reduced, leading to dramatic gains in efficiency. In this manuscript, through a self-contained Matlab® implementation, we present an introduction to IGA applied to simple analysis problems and the related computer implementation aspects. Furthermore, implementation of the extended IGA which incorporates enrichment functions through the partition of unity method (PUM) is also presented, where several examples for both two-dimensional and three-dimensional fracture are illustrated. We also describe the use of IGA in the context of strong-form (collocation) formulations, which has been an area of research interest due to the potential for significant efficiency gains offered by these methods. The code which accompanies the present paper can be applied to one, two and three-dimensional problems for linear elasticity, linear elastic fracture mechanics, structural mechanics (beams/plates/shells including large displacements and rotations) and Poisson problems with or without enrichment. The Bézier extraction concept that allows the FE analysis to be performed efficiently on T-spline geometries is also incorporated. The article includes a summary of recent trends and developments within the field of IGA.
AbstractList	Isogeometric analysis (IGA) represents a recently developed technology in computational mechanics that offers the possibility of integrating methods for analysis and Computer Aided Design (CAD) into a single, unified process. The implications to practical engineering design scenarios are profound, since the time taken from design to analysis is greatly reduced, leading to dramatic gains in efficiency. In this manuscript, through a self-contained Matlab® implementation, we present an introduction to IGA applied to simple analysis problems and the related computer implementation aspects. Furthermore, implementation of the extended IGA which incorporates enrichment functions through the partition of unity method (PUM) is also presented, where several examples for both two-dimensional and three-dimensional fracture are illustrated. We also describe the use of IGA in the context of strong-form (collocation) formulations, which has been an area of research interest due to the potential for significant efficiency gains offered by these methods. The code which accompanies the present paper can be applied to one, two and three-dimensional problems for linear elasticity, linear elastic fracture mechanics, structural mechanics (beams/plates/shells including large displacements and rotations) and Poisson problems with or without enrichment. The Bézier extraction concept that allows the FE analysis to be performed efficiently on T-spline geometries is also incorporated. The article includes a summary of recent trends and developments within the field of IGA.
Author	Nguyen, Vinh Phu Bordas, Stéphane P.A. Rabczuk, Timon Anitescu, Cosmin
Author_xml	– sequence: 1 givenname: Vinh Phu orcidid: 0000-0003-1212-8311 surname: Nguyen fullname: Nguyen, Vinh Phu email: phu.nguyen@adelaide.edu.au organization: School of Engineering, Institute of Mechanics and Advanced Materials, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, United Kingdom – sequence: 2 givenname: Cosmin surname: Anitescu fullname: Anitescu, Cosmin email: canitesc@syr.edu organization: Institute of Structural Mechanics, Bauhaus-Universität Weimar, Marienstraße, 15 99423 Weimar, Germany – sequence: 3 givenname: Stéphane P.A. orcidid: 0000-0001-7622-2193 surname: Bordas fullname: Bordas, Stéphane P.A. email: stephane.bordas@alum.northwestern.edu organization: School of Engineering, Institute of Mechanics and Advanced Materials, Cardiff University, Queen’s Buildings, The Parade, Cardiff CF24 3AA, United Kingdom – sequence: 4 givenname: Timon orcidid: 0000-0002-7150-296X surname: Rabczuk fullname: Rabczuk, Timon email: timon.rabczuk@uni-weimar.de organization: Institute of Structural Mechanics, Bauhaus-Universität Weimar, Marienstraße, 15 99423 Weimar, Germany
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crossref_primary_10_1016_j_compstruc_2024_107518 crossref_primary_10_1016_j_cma_2021_113841 crossref_primary_10_1108_EC_03_2019_0121 crossref_primary_10_1515_meceng_2017_0008 crossref_primary_10_1016_j_ijmecsci_2023_108487
Cites_doi	10.1016/j.cma.2013.03.016 10.1016/j.engfracmech.2010.06.009 10.1016/j.cma.2010.03.029 10.1016/j.cma.2009.01.022 10.1002/nme.3069 10.1002/nme.2648 10.1016/j.cma.2009.04.015 10.1016/j.cma.2012.05.021 10.1016/j.jcp.2010.01.008 10.1016/j.cma.2014.11.038 10.1016/j.cma.2011.08.023 10.1016/j.cma.2011.03.005 10.1016/j.cma.2004.10.008 10.1016/j.cma.2011.08.014 10.1016/j.cma.2011.11.022 10.1016/j.cma.2008.07.012 10.1002/nme.3048 10.1111/j.1467-8659.2010.01766.x 10.1016/j.cma.2010.12.008 10.1016/j.cma.2012.01.008 10.1016/j.matcom.2008.01.003 10.1016/j.cma.2005.02.007 10.1016/j.cma.2012.04.016 10.1016/j.cma.2012.11.020 10.1002/nme.3277 10.1007/s11012-011-9489-y 10.1002/nme.4615 10.1016/j.advengsoft.2011.06.010 10.1016/j.cma.2010.03.005 10.1016/j.cma.2009.02.035 10.1142/S0218202510004878 10.1007/s12289-008-0209-7 10.1002/nme.4360 10.1002/(SICI)1097-0207(19980215)41:3<435::AID-NME292>3.0.CO;2-U 10.1016/j.cma.2013.11.026 10.1016/j.cma.2008.01.025 10.1016/j.cma.2007.07.005 10.1016/j.cma.2012.06.023 10.1016/j.cma.2013.05.015 10.1016/j.cma.2011.11.002 10.1016/j.compstruct.2013.02.029 10.1016/j.cma.2012.05.022 10.1016/j.cma.2010.12.003 10.1002/nme.2237 10.1016/j.cma.2011.03.007 10.1007/s00466-008-0315-x 10.1016/j.cma.2010.12.015 10.1016/j.compstruc.2012.12.021 10.1016/j.cma.2011.11.013 10.1016/j.cma.2009.02.029 10.1016/j.cma.2010.02.010 10.1002/nme.3121 10.1016/j.cma.2012.11.011 10.1016/j.cagd.2012.03.002 10.1016/j.cma.2011.10.009 10.1007/s11071-009-9641-6 10.1016/j.cma.2012.03.026 10.1016/j.cma.2012.04.014 10.1016/j.cma.2008.01.012 10.1007/s00791-010-0147-z 10.1016/j.cma.2013.07.017 10.1016/j.cma.2007.11.024 10.1016/j.cma.2014.06.037 10.1016/j.cma.2013.11.008 10.1007/s00466-013-0955-3 10.1016/j.cagd.2008.09.008 10.1016/j.cma.2012.06.006 10.1016/j.cma.2010.04.015 10.1016/j.cma.2013.10.024 10.1016/S0045-7825(01)00215-8 10.1002/nme.4282 10.1002/nme.3167 10.1016/j.cma.2008.12.004 10.1016/j.cma.2011.01.018 10.1016/j.cma.2009.02.036 10.1002/nme.2864 10.1016/j.compstruc.2005.02.016 10.1002/nme.3061 10.1002/nme.2861 10.1002/nme.4328 10.1007/s00466-014-0978-4 10.1002/nme.3159 10.1016/j.advengsoft.2011.05.032 10.1016/j.cad.2008.01.012 10.1016/j.cma.2013.10.009 10.1016/j.cma.2014.11.036 10.1016/j.cma.2011.08.008 10.1016/j.cma.2014.09.011 10.1016/j.cma.2012.02.009 10.1016/j.cma.2011.06.007 10.1007/s00466-010-0543-8 10.1016/j.cma.2012.01.014 10.1016/j.cma.2011.09.004 10.1016/j.compositesb.2013.12.018 10.1002/nme.4604 10.1002/nme.2798 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J 10.1016/j.cagd.2010.06.006 10.1016/j.cma.2010.07.012 10.1007/s11044-009-9157-3 10.1016/j.cma.2009.01.021 10.1016/j.cma.2005.09.027 10.1016/j.cma.2010.08.007 10.1016/j.cma.2010.10.002 10.1016/j.cma.2012.03.017 10.1007/s11071-011-9970-0 10.1016/j.gmod.2008.03.001 10.1016/j.cma.2011.07.004 10.1002/nme.2311 10.1002/(SICI)1097-0207(20000430)47:12<2039::AID-NME872>3.0.CO;2-1 10.1016/j.cma.2009.09.010 10.1016/j.cma.2009.05.011 10.1016/j.cma.2008.05.003 10.1016/j.cma.2014.05.007 10.1016/j.cma.2008.04.006 10.1007/s11071-012-0709-3 10.1016/j.cma.2007.02.009 10.1016/j.cma.2012.10.018 10.1016/j.cma.2013.03.011 10.1002/nme.3150 10.1016/j.cma.2009.08.013 10.1002/nme.2968 10.1002/nme.3164 10.1016/j.cma.2012.11.001 10.1016/j.cma.2010.11.020 10.1016/S0010-4485(00)00041-5 10.1016/j.cad.2013.08.017 10.1016/j.cma.2011.10.014 10.1145/882262.882295
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References	Borden, Scott, Evans, Hughes (br000085) 2011; 87 Nguyen-Thanh, Kiendl, Nguyen-Xuan, Wüchner, Bletzinger, Bazilevs, Rabczuk (br000460) 2011; 200 Cottrell, Hughes, Bazilevs (br000135) 2009 Karatarakis, Karakitsios, Papadrakakis (br000330) 2014; 269 Ghorashi, Valizadeh, Mohammadi (br000245) 2012; 89 Anitescu, Jia, Zhang, Rabczuk (br000010) 2015; 284 Bornemann, Cirak (br000095) 2013; 253 Gomez, Hughes, Nogueira, Calo (br000255) 2010; 199 Cardoso, Cesar~de Sa (br000535) 2012; 92 Schillinger, Evans, Reali, Scott, Hughes (br000565) 2013; 267 Temizer, Wriggers, Hughes (br000685) 2011; 200 Cardoso, Cesar~de Sa (br000540) 2014 Großmann, Jüttler, Schlusnus, Barner, Vuong (br000265) 2012; 29 Lu, Zhou (br000380) 2011; 200 Lan, Shabana (br000355) 2010; 61 Provatidis (br000485) 2012; 47 Beirão da Veiga, Buffa, Lovadina, Martinelli, Sangalli (br000055) 2012; 209–212 de~Falco, Reali, Vázquez (br000160) 2011; 42 Auricchio, Calabro, Hughes, Reali, Sangalli (br000015) 2012; 249–252 Echter, Bischoff (br000195) 2010; 199 Nguyen, Kerfriden, Claus, Bordas (br000445) 2014 J. Chessa, Programming the Finite Element Method with Matlab. Northwestern University, 2002. Moumnassi, Belouettar, Béchet, Bordas, Quoirin, Potier-Ferry (br000420) 2011; 200 Collier, Pardo, Dalcin, Paszynski, Calo (br000130) 2012; 213–216 . Natarajan, Mahapatra, Bordas (br000430) 2010; 83 Simpson, Bordas, Trevelyan, Rabczuk (br000635) 2012; 209–212 Cottrell, Reali, Bazilevs, Hughes (br000140) 2006; 195 Rank, Ruess, Kollmannsberger, Schillinger, Düster (br000500) 2012; 249–252 A. Wawrzinek, K. Hildebrandt, K. Polthier, Koiter’s thin shells on Catmull–Clark limit surfaces. in: Proceedings of the Vision, Modeling, and Visualization Workshop, Berlin, Germany, 4–6 October, 2011. Elguedj, Bazilevs, Calo, Hughes (br000205) 2008; 197 Kim, Seo, Youn (br000345) 2010; 199 Kleiss, Jüttler, Zulehner (br000350) 2012; 213–216 Scott, Li, Sederberg, Hughes (br000585) 2012; 213–216 C.A. Felippa, Advanced Finite Element Methods (Lecture Notes), 2001. Zhang, Wang, Hughes (br000765) 2012 Ruess, Schillinger, Özcan, Rank (br000530) 2014; 269 Auricchio, Beiro da~Veiga, Hughes, Reali, Sangalli (br000030) 2012; 249–252 Auricchio, da Veiga Beirão, Buffa, Lovadina, Reali, Sangalli (br000020) 2007; 197 Shi, Chopp, Lua, Sukumar, Belytschko (br000625) 2010; 77 Yamashita, Sugiyama (br000750) 2012; 67 Cohen, Martin, Kirby, Lyche, Riesenfeld (br000125) 2010; 199 Kiendl, Auricchio, Beiro da~Veiga, Lovadina, Reali (br000310) 2015; 284 De~Luycker, Benson, Belytschko, Bazilevs, Hsu (br000165) 2011; 87 Scott, Thomas, Evans (br000595) 2014; 269 Sanborn, Shabana (br000550) 2009; 22 Moës, Dolbow, Belytschko (br000410) 1999; 46 Zhang, Bazilevs, Goswami, Bajaj, Hughes (br000755) 2007; 196 Hughes, Cottrell, Bazilevs (br000275) 2005; 194 Ratnani, Sonnendrucker (br000510) 2012; 5 Shaw, Roy (br000620) 2008; 197 Nguyen, Rabczuk, Bordas, Duflot (br000455) 2008; 79 Bazilevs, Calo, Cottrell, Evans, Hughes, Lipton, Scott, Sederberg (br000040) 2010; 199 Takacs, Jüttler (br000660) 2011; 200 Sanches, Bornemann, Cirak (br000555) 2011; 200 Kagan, Fischer (br000320) 2000; 32 Benson, Bazilevs, Hsu, Hughes (br000065) 2010; 199 Martin, Cohen, Kirby (br000390) 2009; 26 Tambat, Subbarayan (br000665) 2012; 245–246 L. Dalcin, PetIGA: A framework for high performance Isogeometric Analysis (using Petsc), 2011. Elguedj, Gravouil, Combescure (br000215) 2006; 195 Moës, Stolz, Bernard, Chevaugeon (br000415) 2011; 86 Hyun-Jung, Youn (br000295) 2012; 92 Nielsen, Gersborg, Gravesen, Pedersen (br000470) 2011; 200 Vuong, Heinrich, Simeon (br000720) 2010; 27 Manh, Evgrafov, Gersborg, Gravesen (br000385) 2011; 200 Steffen, Wallstedt, Guilkey (br000645) 2008; 31 Schmidt, Kiendl, Bletzinger, Wüchner (br000570) 2010; 13 T.W. Sederberg, Comput. Aided Geom. Design: Course Notes, 2010. Temizer (br000680) 2014; 97 Qian (br000490) 2010; 199 Rogers (br000520) 2001 Dimitri, De~Lorenzis, Wriggers, Zavarise (br000170) 2014 Escobar, Cascn, Rodríguez, Montenegro (br000225) 2011; 200 Qian, Sigmund (br000495) 2011; 200 Thai, Nguyen-Xuan, Nguyen-Thanh, Le, Nguyen-Thoi, Rabczuk (br000695) 2012; 91 Sederberg, Zheng, Bakenov, Nasri (br000605) 2003; 22 Beirão da~Veiga, Cho, Pavarino, Scacchi (br000060) 2014; 278 Donatelli, Garoni, Manni, Serra-Capizzano, Speleers (br000180) 2015; 284 Benson, Hartmann, Bazilevs, Hsu, Hughes (br000080) 2013; 255 Peake, Trevelyan, Coates (br000475) 2013; 259 Elguedj, Bazilevs, Calo, Hughes (br000210) 2008; 1 Henderson (br000270) 2007 Masud, Kannan (br000395) 2012; 241–244 Deng, Chen, Li, Hu, Tong, Yang, Feng (br000150) 2008; 70 Reddy (br000515) 2005 Rosolen, Arroyo (br000525) 2013; 264 Uhm, Youn (br000700) 2009; 80 Caseiro, Valente, Reali, Kiendl, Auricchio, Alves~de Sousa (br000155) 2014; 53 De~Lorenzis, Temizer, Wriggers, Zavarise (br000370) 2011; 87 Zhang, Wang, Hughes (br000760) 2012; 249–252 Gómez, Calo, Bazilevs, Hughes (br000250) 2008; 197 Verhoosel, Scott, de Borst, Hughes (br000705) 2011; 87 Sevilla, Fernández-Méndez, Huerta (br000610) 2008; 76 Dörfel, Jüttler, Simeon (br000185) 2010; 199 Elguedj, Réthoré, Buteri (br000220) 2011; 200 R.L. Taylor, A finite element analysis program, programmer manual, 2001. Nguyen-Thanh, Nguyen-Xuan, Bordas, Rabczuk (br000465) 2011; 200 Vuong, Giannelli, Jüttler, Simeon (br000715) 2011; 200 Xu, Mourrain, Duvigneau, Galligo (br000745) 2011; 200 Cervera, Trevelyan (br000110) 2005; 83 Evans, Bazilevs, Babuška, Hughes (br000230) 2009; 198 Echter, Oesterle, Bischoff (br000200) 2013; 254 Sukumar, Chopp, Moës, Belytschko (br000650) 2000; 190 Taylor (br000675) 2011; 87 Speleers, Manni, Pelosi, Sampoli (br000640) 2012; 221–222 Sevilla, Fernández-Méndez, Huerta (br000615) 2011; 88 A. Ratnani, Pigasus, Isogeometric Analysis Simulations in Python, INRIA Report, 2012. Kiendl, Bletzinger, Linhard, Wüchner (br000340) 2009; 198 González, Cueto, Doblaré (br000260) 2008; 74 Nguyen, Kerfriden, Brino, Bordas, Bonisoli (br000440) 2014; 53 Wang, Liu, Zhang (br000735) 2013; 260 Buffa, Cho, Sangalli (br000100) 2010; 1437–1445 Wang, He, Li, Gu, Qin (br000730) 2008; 40 Auricchio, Da Veiga, Hughes, Reali, Sangalli (br000025) 2010; 20 Schillinger, Dedé, Scott, Evans, Borden, Rank, Hughes (br000560) 2012; 242–252 Cirak, Ortiz, Schröder (br000120) 2000; 47 Benson, Bazilevs, De~Luycker, Hsu, Scott, Hughes, Belytschko (br000075) 2010; 83 Tada, Paris, Irwin (br000655) 1985 Hughes, Reali, Sangalli (br000285) 2010; 199 Rypl, Patzák (br000545) 2012; 44 Hughes, Reali, Sangalli (br000280) 2008; 197 Matzen, Cichosz, Bischoff (br000400) 2013; 255 Nada (br000425) 2013; 72 Bazilevs, Akkerman (br000035) 2010; 229 Nguyen, Kerfriden, Bordas (br000435) 2014; 60 Jaxon, Qian (br000300) 2014; 46 Simpson, Bordas, Lian, Trevelyan (br000630) 2013; 118 Kuru, Verhoosel, van~der Zee, van Brummelen (br000315) 2014; 270 Zhou, Lu (br000770) 2005 Miehe, Welschinger, Hofacker (br000405) 2010; 83 Legrain (br000360) 2013 Lipton, Evans, Bazilevs, Elguedj, Hughes (br000365) 2010; 199 Schmidt, Wuchner, Bletzinger (br000575) 2012; 241–244 Kiendl, Bazilevs, Hsu, Wüchner, Bletzinger (br000335) 2010; 199 Fischer, Klassen, Mergheim, Steinmann, Müller (br000240) 2010; 47 Kagan, Fischer, Bar-Yoseph (br000325) 1998; 41 Borden, Verhoosel, Scott, Hughes, Landis (br000090) 2012; 217–220 Bazilevs, Calo, Hughes, Zhang (br000045) 2008; 43 Nguyen, Nguyen-Xuan (br000450) 2013; 102 Aigner, Heinrich, Jüttler, Pilgerstorfer, Simeon, Vuong (br000005) 2009; vol. 5654 Jia (br000305) 2011; 200 Scott, Borden, Verhoosel, Sederberg, Hughes (br000580) 2011; 88 Scott, Simpson, Evans, Lipton, Bordas, Hughes, Sederberg (br000590) 2013; 254 Temizer, Wriggers, Hughes (br000690) 2012; 209–212 Wall, Frenzel, Cyron (br000725) 2008; 197 Bazilevs, Gohean, Hughes, Moser, Zhang (br000050) 2009; 198 Lu (br000375) 2009; 198 Burkhart, Hamann, Umlauf (br000105) 2010; 29 T. Dokken, V. Skytt, Locally refined splines, in: Proceedings of IV European Conference On Comput. Mech.. Solids, Structures and Coupled Problems in Engineering, Paris, France, 16–21 May 2010. De Lorenzis, Evans, Hughes, Reali (br000190) 2015; 284 Irzal, Remmers, Verhoosel, de~Borst (br000290) 2014; 97 Piegl, Tiller (br000480) 1996 Verhoosel, Scott, Hughes, de Borst (br000710) 2011; 86 Benson, Bazilevs, Hsu, Hughes (br000070) 2011; 200 Cottrell (10.1016/j.matcom.2015.05.008_br000140) 2006; 195 De~Lorenzis (10.1016/j.matcom.2015.05.008_br000370) 2011; 87 Sanborn (10.1016/j.matcom.2015.05.008_br000550) 2009; 22 Provatidis (10.1016/j.matcom.2015.05.008_br000485) 2012; 47 Auricchio (10.1016/j.matcom.2015.05.008_br000025) 2010; 20 Nguyen (10.1016/j.matcom.2015.05.008_br000435) 2014; 60 Lipton (10.1016/j.matcom.2015.05.008_br000365) 2010; 199 Wang (10.1016/j.matcom.2015.05.008_br000735) 2013; 260 Cottrell (10.1016/j.matcom.2015.05.008_br000135) 2009 Qian (10.1016/j.matcom.2015.05.008_br000490) 2010; 199 Buffa (10.1016/j.matcom.2015.05.008_br000100) 2010; 1437–1445 Shaw (10.1016/j.matcom.2015.05.008_br000620) 2008; 197 Gómez (10.1016/j.matcom.2015.05.008_br000250) 2008; 197 Aigner (10.1016/j.matcom.2015.05.008_br000005) 2009; vol. 5654 Cardoso (10.1016/j.matcom.2015.05.008_br000540) 2014 Elguedj (10.1016/j.matcom.2015.05.008_br000215) 2006; 195 Zhou (10.1016/j.matcom.2015.05.008_br000770) 2005 Wang (10.1016/j.matcom.2015.05.008_br000730) 2008; 40 Sukumar (10.1016/j.matcom.2015.05.008_br000650) 2000; 190 Benson (10.1016/j.matcom.2015.05.008_br000075) 2010; 83 Kiendl (10.1016/j.matcom.2015.05.008_br000335) 2010; 199 Rosolen (10.1016/j.matcom.2015.05.008_br000525) 2013; 264 Shi (10.1016/j.matcom.2015.05.008_br000625) 2010; 77 Bazilevs (10.1016/j.matcom.2015.05.008_br000045) 2008; 43 Temizer (10.1016/j.matcom.2015.05.008_br000680) 2014; 97 Vuong (10.1016/j.matcom.2015.05.008_br000715) 2011; 200 Dörfel (10.1016/j.matcom.2015.05.008_br000185) 2010; 199 González (10.1016/j.matcom.2015.05.008_br000260) 2008; 74 Moumnassi (10.1016/j.matcom.2015.05.008_br000420) 2011; 200 Echter (10.1016/j.matcom.2015.05.008_br000200) 2013; 254 Deng (10.1016/j.matcom.2015.05.008_br000150) 2008; 70 Benson (10.1016/j.matcom.2015.05.008_br000080) 2013; 255 10.1016/j.matcom.2015.05.008_br000115 Borden (10.1016/j.matcom.2015.05.008_br000090) 2012; 217–220 10.1016/j.matcom.2015.05.008_br000235 Kim (10.1016/j.matcom.2015.05.008_br000345) 2010; 199 Moës (10.1016/j.matcom.2015.05.008_br000415) 2011; 86 Rank (10.1016/j.matcom.2015.05.008_br000500) 2012; 249–252 Cardoso (10.1016/j.matcom.2015.05.008_br000535) 2012; 92 Bazilevs (10.1016/j.matcom.2015.05.008_br000050) 2009; 198 Kiendl (10.1016/j.matcom.2015.05.008_br000310) 2015; 284 Scott (10.1016/j.matcom.2015.05.008_br000585) 2012; 213–216 Peake (10.1016/j.matcom.2015.05.008_br000475) 2013; 259 Cervera (10.1016/j.matcom.2015.05.008_br000110) 2005; 83 Cirak (10.1016/j.matcom.2015.05.008_br000120) 2000; 47 Echter (10.1016/j.matcom.2015.05.008_br000195) 2010; 199 Nguyen (10.1016/j.matcom.2015.05.008_br000450) 2013; 102 Bornemann (10.1016/j.matcom.2015.05.008_br000095) 2013; 253 Wall (10.1016/j.matcom.2015.05.008_br000725) 2008; 197 Schmidt (10.1016/j.matcom.2015.05.008_br000575) 2012; 241–244 Vuong (10.1016/j.matcom.2015.05.008_br000720) 2010; 27 Rypl (10.1016/j.matcom.2015.05.008_br000545) 2012; 44 Takacs (10.1016/j.matcom.2015.05.008_br000660) 2011; 200 Benson (10.1016/j.matcom.2015.05.008_br000065) 2010; 199 Taylor (10.1016/j.matcom.2015.05.008_br000675) 2011; 87 Nguyen (10.1016/j.matcom.2015.05.008_br000455) 2008; 79 Sederberg (10.1016/j.matcom.2015.05.008_br000605) 2003; 22 10.1016/j.matcom.2015.05.008_br000740 Moës (10.1016/j.matcom.2015.05.008_br000410) 1999; 46 10.1016/j.matcom.2015.05.008_br000505 Steffen (10.1016/j.matcom.2015.05.008_br000645) 2008; 31 Thai (10.1016/j.matcom.2015.05.008_br000695) 2012; 91 Sevilla (10.1016/j.matcom.2015.05.008_br000615) 2011; 88 Qian (10.1016/j.matcom.2015.05.008_br000495) 2011; 200 Schillinger (10.1016/j.matcom.2015.05.008_br000565) 2013; 267 Evans (10.1016/j.matcom.2015.05.008_br000230) 2009; 198 Dimitri (10.1016/j.matcom.2015.05.008_br000170) 2014 Kagan (10.1016/j.matcom.2015.05.008_br000320) 2000; 32 Hughes (10.1016/j.matcom.2015.05.008_br000280) 2008; 197 Miehe (10.1016/j.matcom.2015.05.008_br000405) 2010; 83 Collier (10.1016/j.matcom.2015.05.008_br000130) 2012; 213–216 Rogers (10.1016/j.matcom.2015.05.008_br000520) 2001 Martin (10.1016/j.matcom.2015.05.008_br000390) 2009; 26 Scott (10.1016/j.matcom.2015.05.008_br000595) 2014; 269 10.1016/j.matcom.2015.05.008_br000175 Jaxon (10.1016/j.matcom.2015.05.008_br000300) 2014; 46 Auricchio (10.1016/j.matcom.2015.05.008_br000015) 2012; 249–252 Caseiro (10.1016/j.matcom.2015.05.008_br000155) 2014; 53 Beirão da~Veiga (10.1016/j.matcom.2015.05.008_br000060) 2014; 278 Nguyen-Thanh (10.1016/j.matcom.2015.05.008_br000460) 2011; 200 Xu (10.1016/j.matcom.2015.05.008_br000745) 2011; 200 Nada (10.1016/j.matcom.2015.05.008_br000425) 2013; 72 Schmidt (10.1016/j.matcom.2015.05.008_br000570) 2010; 13 Scott (10.1016/j.matcom.2015.05.008_br000590) 2013; 254 Borden (10.1016/j.matcom.2015.05.008_br000085) 2011; 87 Jia (10.1016/j.matcom.2015.05.008_br000305) 2011; 200 Irzal (10.1016/j.matcom.2015.05.008_br000290) 2014; 97 Fischer (10.1016/j.matcom.2015.05.008_br000240) 2010; 47 Burkhart (10.1016/j.matcom.2015.05.008_br000105) 2010; 29 Simpson (10.1016/j.matcom.2015.05.008_br000630) 2013; 118 Yamashita (10.1016/j.matcom.2015.05.008_br000750) 2012; 67 Bazilevs (10.1016/j.matcom.2015.05.008_br000040) 2010; 199 Hughes (10.1016/j.matcom.2015.05.008_br000285) 2010; 199 Tambat (10.1016/j.matcom.2015.05.008_br000665) 2012; 245–246 Kiendl (10.1016/j.matcom.2015.05.008_br000340) 2009; 198 Sevilla (10.1016/j.matcom.2015.05.008_br000610) 2008; 76 De Lorenzis (10.1016/j.matcom.2015.05.008_br000190) 2015; 284 Anitescu (10.1016/j.matcom.2015.05.008_br000010) 2015; 284 Temizer (10.1016/j.matcom.2015.05.008_br000685) 2011; 200 Elguedj (10.1016/j.matcom.2015.05.008_br000210) 2008; 1 10.1016/j.matcom.2015.05.008_br000600 Kuru (10.1016/j.matcom.2015.05.008_br000315) 2014; 270 de~Falco (10.1016/j.matcom.2015.05.008_br000160) 2011; 42 Temizer (10.1016/j.matcom.2015.05.008_br000690) 2012; 209–212 Manh (10.1016/j.matcom.2015.05.008_br000385) 2011; 200 Zhang (10.1016/j.matcom.2015.05.008_br000760) 2012; 249–252 Kleiss (10.1016/j.matcom.2015.05.008_br000350) 2012; 213–216 Uhm (10.1016/j.matcom.2015.05.008_br000700) 2009; 80 Lu (10.1016/j.matcom.2015.05.008_br000375) 2009; 198 Schillinger (10.1016/j.matcom.2015.05.008_br000560) 2012; 242–252 Simpson (10.1016/j.matcom.2015.05.008_br000635) 2012; 209–212 Ruess (10.1016/j.matcom.2015.05.008_br000530) 2014; 269 Verhoosel (10.1016/j.matcom.2015.05.008_br000710) 2011; 86 Escobar (10.1016/j.matcom.2015.05.008_br000225) 2011; 200 Legrain (10.1016/j.matcom.2015.05.008_br000360) 2013 Großmann (10.1016/j.matcom.2015.05.008_br000265) 2012; 29 Karatarakis (10.1016/j.matcom.2015.05.008_br000330) 2014; 269 10.1016/j.matcom.2015.05.008_br000670 Henderson (10.1016/j.matcom.2015.05.008_br000270) 2007 Speleers (10.1016/j.matcom.2015.05.008_br000640) 2012; 221–222 Hyun-Jung (10.1016/j.matcom.2015.05.008_br000295) 2012; 92 Donatelli (10.1016/j.matcom.2015.05.008_br000180) 2015; 284 Elguedj (10.1016/j.matcom.2015.05.008_br000205) 2008; 197 Auricchio (10.1016/j.matcom.2015.05.008_br000020) 2007; 197 Zhang (10.1016/j.matcom.2015.05.008_br000755) 2007; 196 Scott (10.1016/j.matcom.2015.05.008_br000580) 2011; 88 Hughes (10.1016/j.matcom.2015.05.008_br000275) 2005; 194 Sanches (10.1016/j.matcom.2015.05.008_br000555) 2011; 200 Beirão da Veiga (10.1016/j.matcom.2015.05.008_br000055) 2012; 209–212 Auricchio (10.1016/j.matcom.2015.05.008_br000030) 2012; 249–252 Bazilevs (10.1016/j.matcom.2015.05.008_br000035) 2010; 229 Ghorashi (10.1016/j.matcom.2015.05.008_br000245) 2012; 89 Nguyen-Thanh (10.1016/j.matcom.2015.05.008_br000465) 2011; 200 Lu (10.1016/j.matcom.2015.05.008_br000380) 2011; 200 Nguyen (10.1016/j.matcom.2015.05.008_br000440) 2014; 53 10.1016/j.matcom.2015.05.008_br000145 Elguedj (10.1016/j.matcom.2015.05.008_br000220) 2011; 200 Kagan (10.1016/j.matcom.2015.05.008_br000325) 1998; 41 Tada (10.1016/j.matcom.2015.05.008_br000655) 1985 Matzen (10.1016/j.matcom.2015.05.008_br000400) 2013; 255 De~Luycker (10.1016/j.matcom.2015.05.008_br000165) 2011; 87 Gomez (10.1016/j.matcom.2015.05.008_br000255) 2010; 199 Verhoosel (10.1016/j.matcom.2015.05.008_br000705) 2011; 87 Nguyen (10.1016/j.matcom.2015.05.008_br000445) 2014 Natarajan (10.1016/j.matcom.2015.05.008_br000430) 2010; 83 Ratnani (10.1016/j.matcom.2015.05.008_br000510) 2012; 5 Benson (10.1016/j.matcom.2015.05.008_br000070) 2011; 200 Reddy (10.1016/j.matcom.2015.05.008_br000515) 2005 Cohen (10.1016/j.matcom.2015.05.008_br000125) 2010; 199 Nielsen (10.1016/j.matcom.2015.05.008_br000470) 2011; 200 Lan (10.1016/j.matcom.2015.05.008_br000355) 2010; 61 Masud (10.1016/j.matcom.2015.05.008_br000395) 2012; 241–244 Piegl (10.1016/j.matcom.2015.05.008_br000480) 1996 Zhang (10.1016/j.matcom.2015.05.008_br000765) 2012
References_xml	– volume: 74 start-page: 1928 year: 2008 end-page: 1954 ident: br000260 article-title: Higher-order natural element methods: Towards an isogeometric meshless method publication-title: Internat. J. Numer. Methods Engrg. – volume: 245–246 start-page: 1 year: 2012 end-page: 21 ident: br000665 article-title: Isogeometric enriched field approximations publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 87 start-page: 15 year: 2011 end-page: 47 ident: br000085 article-title: Isogeometric finite element data structures based on Bézier extraction of NURBS publication-title: Internat. J. Numer. Methods Engrg. – volume: 199 start-page: 1828 year: 2010 end-page: 1840 ident: br000255 article-title: Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 357 year: 2010 end-page: 373 ident: br000365 article-title: Robustness of isogeometric structural discretizations under severe mesh distortion publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 3242 year: 2011 end-page: 3253 ident: br000470 article-title: Discretizations in isogeometric analysis of Navier–Stokes flow publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 26 start-page: 648 year: 2009 end-page: 664 ident: br000390 article-title: Volumetric parameterization and trivariate B-spline fitting using harmonic functions publication-title: Comput. Aided Geom. Design – volume: 97 start-page: 582 year: 2014 end-page: 607 ident: br000680 article-title: Multiscale thermomechanical contact: Computational homogenization with isogeometric analysis publication-title: Internat. J. Numer. Methods Engrg. – volume: 217–220 start-page: 77 year: 2012 end-page: 95 ident: br000090 article-title: A phase-field description of dynamic brittle fracture publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 2403 year: 2010 end-page: 2416 ident: br000335 article-title: The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches publication-title: Comput. Methods Appl. Mech. Engrg. – start-page: 1 year: 2013 end-page: 17 ident: br000360 article-title: A NURBS enhanced extended finite element approach for unfitted CAD analysis publication-title: Comput. Mech. – volume: 249–252 start-page: 185 year: 2012 end-page: 197 ident: br000760 article-title: Solid T-spline construction from boundary representations for genus-zero geometry publication-title: Comput. Methods Appl. Mech. Engrg. – reference: T.W. Sederberg, Comput. Aided Geom. Design: Course Notes, 2010. – volume: 67 start-page: 177 year: 2012 end-page: 189 ident: br000750 article-title: Numerical convergence of finite element solutions of nonrational B-spline element and absolute nodal coordinate formulation publication-title: Nonlinear Dynam. – year: 2005 ident: br000515 article-title: An Introduction to the Finite Element Method – volume: 241–244 start-page: 93 year: 2012 end-page: 111 ident: br000575 article-title: Isogeometric analysis of trimmed NURBS geometries publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 197 start-page: 1541 year: 2008 end-page: 1567 ident: br000620 article-title: NURBS-based parametric mesh-free methods publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 221–222 start-page: 132 year: 2012 end-page: 148 ident: br000640 article-title: Isogeometric analysis with Powell–Sabin splines for advection-diffusion-reaction problems publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 88 start-page: 103 year: 2011 end-page: 125 ident: br000615 article-title: 3D NURBS-enhanced finite element method (NEFEM) publication-title: Internat. J. Numer. Methods Engrg. – volume: 249–252 start-page: 104 year: 2012 end-page: 115 ident: br000500 article-title: Geometric modeling, isogeometric analysis and the finite cell method publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 334 year: 2010 end-page: 356 ident: br000125 article-title: Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 43 start-page: 3 year: 2008 end-page: 37 ident: br000045 article-title: Isogeometric fluid–structure interaction: theory, algorithms, and computations publication-title: Comput. Mech. – volume: 199 start-page: 229 year: 2010 end-page: 263 ident: br000040 article-title: Isogeometric analysis using T-splines publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 29 start-page: 519 year: 2012 end-page: 531 ident: br000265 article-title: Isogeometric simulation of turbine blades for aircraft engines publication-title: Comput. Aided Geom. Design – volume: 264 start-page: 95 year: 2013 end-page: 107 ident: br000525 article-title: Blending isogeometric analysis and local maximum entropy meshfree approximants publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 118 start-page: 2 year: 2013 end-page: 12 ident: br000630 article-title: An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects publication-title: Comput. Struct. – volume: 27 start-page: 644 year: 2010 end-page: 655 ident: br000720 article-title: ISOGAT: a 2D tutorial MATLAB code for isogeometric analysis publication-title: Comput. Aided Geom. Design – volume: 270 start-page: 270 year: 2014 end-page: 292 ident: br000315 article-title: Goal-adaptive isogeometric analysis with hierarchical splines publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 77 start-page: 2840 year: 2010 end-page: 2863 ident: br000625 article-title: Abaqus implementation of extended finite element method using a level set representation of three-dimensional fatigue crack growth and life predictions publication-title: Eng. Fract. Mech. – volume: 284 start-page: 1073 year: 2015 end-page: 1097 ident: br000010 article-title: An isogeometric collocation method using superconvergent points publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 213–216 start-page: 353 year: 2012 end-page: 361 ident: br000130 article-title: The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 80 start-page: 507 year: 2009 end-page: 536 ident: br000700 article-title: T-spline finite element method for the analysis of shell structures publication-title: Internat. J. Numer. Methods Engrg. – volume: 200 start-page: 1367 year: 2011 end-page: 1378 ident: br000070 article-title: A large deformation, rotation-free, isogeometric shell publication-title: Comput. Methods Appl. Mech. Engrg. – reference: J. Chessa, Programming the Finite Element Method with Matlab. Northwestern University, 2002. – reference: R.L. Taylor, A finite element analysis program, programmer manual, 2001. – volume: 194 start-page: 4135 year: 2005 end-page: 4195 ident: br000275 article-title: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 197 start-page: 160 year: 2007 end-page: 172 ident: br000020 article-title: A fully locking-free isogeometric approach for plane linear elasticity problems: A stream function formulation publication-title: Comput. Methods Appl. Mech. Engrg. – year: 2007 ident: br000270 article-title: ParaView Guide, A Parallel Visualization Application – volume: 46 start-page: 45 year: 2014 end-page: 57 ident: br000300 article-title: Isogeometric analysis on triangulations publication-title: Comput. Aided Des. – volume: 196 start-page: 2943 year: 2007 end-page: 2959 ident: br000755 article-title: Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 1 start-page: 1091 year: 2008 end-page: 1094 ident: br000210 article-title: F-bar projection method for finite deformation elasticity and plasticity using NURBS based isogeometric analysis publication-title: Int. J. Mater. Form. – volume: 213–216 start-page: 168 year: 2012 end-page: 182 ident: br000350 article-title: Enhancing isogeometric analysis by a finite element-based local refinement strategy publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 2237 year: 2011 end-page: 2255 ident: br000495 article-title: Isogeometric shape optimization of photonic crystals via Coons patches publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 269 start-page: 46 year: 2014 end-page: 71 ident: br000530 article-title: Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 40 year: 2011 end-page: 56 ident: br000220 article-title: Isogeometric analysis for strain field measurements publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 102 start-page: 261 year: 2013 end-page: 275 ident: br000450 article-title: High-order B-splines based finite elements for delamination analysis of laminated composites publication-title: Compos. Struct. – volume: 86 start-page: 358 year: 2011 end-page: 380 ident: br000415 article-title: A level set based model for damage growth: The thick level set approach publication-title: Internat. J. Numer. Methods Engrg. – volume: 197 start-page: 4333 year: 2008 end-page: 4352 ident: br000250 article-title: Isogeometric analysis of the Cahn-Hilliard phase-field model publication-title: Comput. Methods Appl. Mech. Engrg. – year: 1985 ident: br000655 article-title: The Stress Analysis of Cracks Handbook – volume: 92 start-page: 802 year: 2012 end-page: 834 ident: br000295 article-title: Spline-based meshfree method publication-title: Internat. J. Numer. Methods Engrg. – start-page: 1 year: 2014 end-page: 14 ident: br000540 article-title: Blending moving least squares techniques with NURBS basis functions for nonlinear isogeometric analysis publication-title: Comput. Mech. – volume: 97 start-page: 608 year: 2014 end-page: 628 ident: br000290 article-title: An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems publication-title: Internat. J. Numer. Methods Engrg. – volume: 267 start-page: 170 year: 2013 end-page: 232 ident: br000565 article-title: Isogeometric collocation: Cost comparison with galerkin methods and extension to adaptive hierarchical NURBS discretizations publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 197 start-page: 2976 year: 2008 end-page: 2988 ident: br000725 article-title: Isogeometric structural shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 1437–1445 start-page: 199 year: 2010 ident: br000100 article-title: Linear independence of the T-spline blending functions associated with some particular T-meshes publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 241–244 start-page: 112 year: 2012 end-page: 127 ident: br000395 article-title: B-splines and NURBS based finite element methods for Kohn–Sham equations publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 83 start-page: 1902 year: 2005 end-page: 1916 ident: br000110 article-title: Evolutionary structural optimisation based on boundary representation of NURBS. Part I: 2D algorithms publication-title: Comput. Struct. – volume: 199 start-page: 301 year: 2010 end-page: 313 ident: br000285 article-title: Efficient quadrature for NURBS-based isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 42 start-page: 1020 year: 2011 end-page: 1034 ident: br000160 article-title: GeoPDEs: a research tool for isogeometric analysis of PDEs publication-title: Adv. Eng. Softw. – volume: vol. 5654 start-page: 19 year: 2009 end-page: 44 ident: br000005 article-title: Swept volume parameterization for isogeometric analysis publication-title: Mathematics of Surfaces XIII – volume: 269 start-page: 222 year: 2014 end-page: 264 ident: br000595 article-title: Isogeometric spline forests publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 195 start-page: 501 year: 2006 end-page: 515 ident: br000215 article-title: Appropriate extended functions for X-FEM simulation of plastic fracture mechanics publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 284 start-page: 1120 year: 2015 end-page: 1146 ident: br000180 article-title: Robust and optimal multi-iterative techniques for iga collocation linear systems publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 3210 year: 2011 end-page: 3222 ident: br000225 article-title: A new approach to solid modeling with trivariate T-splines based on mesh optimization publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 197 start-page: 4104 year: 2008 end-page: 4124 ident: br000280 article-title: Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: Comparison of p-method finite elements with k-method NURBS publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 195 start-page: 5257 year: 2006 end-page: 5296 ident: br000140 article-title: Isogeometric analysis of structural vibrations publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 198 start-page: 1726 year: 2009 end-page: 1741 ident: br000230 article-title: n-Widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method publication-title: Comput. Methods Appl. Mech. Engrg. – year: 1996 ident: br000480 article-title: The NURBS Book – volume: 31 start-page: 107 year: 2008 end-page: 127 ident: br000645 article-title: Examination and analysis of implementation choices within the material point method (MPM) publication-title: Comput. Model. Eng. Sci. – volume: 200 start-page: 3554 year: 2011 end-page: 3567 ident: br000715 article-title: A hierarchical approach to adaptive local refinement in isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 88 start-page: 126 year: 2011 end-page: 156 ident: br000580 article-title: Isogeometric finite element data structures based on Bézier extraction of T-splines publication-title: Internat. J. Numer. Methods Engrg. – volume: 60 start-page: 193 year: 2014 end-page: 212 ident: br000435 article-title: Two- and three-dimensional isogeometric cohesive elements for composite delamination analysis publication-title: Composites B – volume: 47 start-page: 2039 year: 2000 end-page: 2072 ident: br000120 article-title: Subdivision surfaces: a new paradigm for thin-shell finite-element analysis publication-title: Internat. J. Numer. Methods Engrg. – volume: 89 start-page: 1069 year: 2012 end-page: 1101 ident: br000245 article-title: Extended isogeometric analysis for simulation of stationary and propagating cracks publication-title: Internat. J. Numer. Methods Engrg. – volume: 213–216 start-page: 206 year: 2012 end-page: 222 ident: br000585 article-title: Local refinement of analysis suitable T-splines publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 276 year: 2010 end-page: 289 ident: br000065 article-title: Isogeometric shell analysis: The Reissner–Mindlin shell publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 229 start-page: 3402 year: 2010 end-page: 3414 ident: br000035 article-title: Large eddy simulation of turbulent Taylor–Couette flow using isogeometric analysis and the residual-based variational multiscale method publication-title: J. Comput. Phys. – volume: 87 start-page: 336 year: 2011 end-page: 360 ident: br000705 article-title: An isogeometric approach to cohesive zone modeling publication-title: Internat. J. Numer. Methods Engrg. – volume: 197 start-page: 2732 year: 2008 end-page: 2762 ident: br000205 article-title: B-bar and f-bar projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 190 start-page: 6183 year: 2000 end-page: 6200 ident: br000650 article-title: Modelling holes and inclusions by level sets in the extended finite element method publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 278 start-page: 239 year: 2014 end-page: 253 ident: br000060 article-title: Overlapping schwarz preconditioners for isogeometric collocation methods publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 76 start-page: 56 year: 2008 end-page: 83 ident: br000610 article-title: NURBS-enhanced finite element method (NEFEM) publication-title: Internat. J. Numer. Methods Engrg. – reference: A. Ratnani, Pigasus, Isogeometric Analysis Simulations in Python, INRIA Report, 2012. – volume: 255 start-page: 133 year: 2013 end-page: 146 ident: br000080 article-title: Blended isogeometric shells publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 47 start-page: 325 year: 2010 end-page: 334 ident: br000240 article-title: Isogeometric analysis of 2D gradient elasticity publication-title: Comput. Mech. – volume: 242–252 start-page: 116 year: 2012 end-page: 150 ident: br000560 article-title: An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 32 start-page: 539 year: 2000 end-page: 552 ident: br000320 article-title: Integrated mechanically based CAE system using B-Spline finite elements publication-title: Comput. Aided Des. – volume: 22 start-page: 477 year: 2003 end-page: 484 ident: br000605 article-title: T-splines and T-NURCCs publication-title: ACM Trans. Graph. – volume: 200 start-page: 1343 year: 2011 end-page: 1353 ident: br000385 article-title: Isogeometric shape optimization of vibrating membranes publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 20 start-page: 2075 year: 2010 end-page: 2107 ident: br000025 article-title: Isogeometric collocation methods publication-title: Math. Models Methods Appl. Sci. – volume: 22 start-page: 181 year: 2009 end-page: 197 ident: br000550 article-title: On the integration of computer aided design and analysis using the finite element absolute nodal coordinate formulation publication-title: Multibody Syst. Dyn. – volume: 199 start-page: 374 year: 2010 end-page: 382 ident: br000195 article-title: Numerical efficiency, locking and unlocking of NURBS finite elements publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 233 year: 2011 end-page: 241 ident: br000380 article-title: Cylindrical element: isogeometric model of continuum rod publication-title: Comput. Methods Appl. Mech. Engrg. – reference: T. Dokken, V. Skytt, Locally refined splines, in: Proceedings of IV European Conference On Comput. Mech.. Solids, Structures and Coupled Problems in Engineering, Paris, France, 16–21 May 2010. – start-page: 1 year: 2012 end-page: 9 ident: br000765 article-title: Conformal solid T-spline construction from boundary T-spline representations publication-title: Comput. Mech. – volume: 200 start-page: 774 year: 2011 end-page: 796 ident: br000420 article-title: Finite element analysis on implicitly defined domains: An accurate representation based on arbitrary parametric surfaces publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 13 start-page: 315 year: 2010 end-page: 330 ident: br000570 article-title: Realization of an integrated structural design process: analysis-suitable geometric modelling and isogeometric analysis publication-title: Comput. Vis. Sci. – volume: 91 year: 2012 ident: br000695 article-title: Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS-based isogeometric approach publication-title: Internat. J. Numer. Methods Engrg. – volume: 200 start-page: 1432 year: 2011 end-page: 1445 ident: br000555 article-title: Immersed B-spline (i-spline) finite element method for geometrically complex domains publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 3410 year: 2011 end-page: 3424 ident: br000460 article-title: Rotation free isogeometric thin shell analysis using PHT-splines publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 83 start-page: 1273 year: 2010 end-page: 1311 ident: br000405 article-title: Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations publication-title: Internat. J. Numer. Methods Engrg. – volume: 200 start-page: 726 year: 2011 end-page: 741 ident: br000305 article-title: Isogeometric contact analysis: geometric basis and formulation for frictionless contact publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 209–212 start-page: 115 year: 2012 end-page: 128 ident: br000690 article-title: Three-Dimensional Mortar-Based frictional contact treatment in isogeometric analysis with NURBS publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 260 start-page: 92 year: 2013 end-page: 108 ident: br000735 article-title: Novel higher order mass matrices for isogeometric structural vibration analysis publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 1892 year: 2011 end-page: 1908 ident: br000465 article-title: Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 44 start-page: 116 year: 2012 end-page: 125 ident: br000545 article-title: From the finite element analysis to the isogeometric analysis in an object oriented computing environment publication-title: Adv. Eng. Softw. – volume: 249–252 start-page: 2 year: 2012 end-page: 14 ident: br000030 article-title: Isogeometric collocation for elastostatics and explicit dynamics publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 70 start-page: 76 year: 2008 end-page: 86 ident: br000150 article-title: Polynomial splines over hierarchical T-meshes publication-title: Graph. Models – volume: 87 start-page: 541 year: 2011 end-page: 565 ident: br000165 article-title: X-FEM in isogeometric analysis for linear fracture mechanics publication-title: Internat. J. Numer. Methods Engrg. – volume: 259 start-page: 93 year: 2013 end-page: 102 ident: br000475 article-title: Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems publication-title: Comput. Methods Appl. Mech. Engrg. – reference: L. Dalcin, PetIGA: A framework for high performance Isogeometric Analysis (using Petsc), 2011. – volume: 199 start-page: 2796 year: 2010 end-page: 2812 ident: br000345 article-title: Isogeometric analysis with trimming technique for problems of arbitrary complex topology publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 255 start-page: 27 year: 2013 end-page: 39 ident: br000400 article-title: A point to segment contact formulation for isogeometric, NURBS based finite elements publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 83 start-page: 269 year: 2010 end-page: 294 ident: br000430 article-title: Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework publication-title: Internat. J. Numer. Methods Engrg. – volume: 284 start-page: 21 year: 2015 end-page: 54 ident: br000190 article-title: Isogeometric collocation: Neumann boundary conditions and contact publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 284 start-page: 489 year: 2015 end-page: 507 ident: br000310 article-title: Isogeometric collocation methods for the reissner-mindlin plate problem publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 209–212 start-page: 45 year: 2012 end-page: 53 ident: br000055 article-title: An isogeometric method for the Reissner–Mindlin plate bending problem publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 61 start-page: 193 year: 2010 end-page: 206 ident: br000355 article-title: Integration of B-spline geometry and ANCF finite element analysis publication-title: Nonlinear Dynam. – volume: 40 start-page: 721 year: 2008 end-page: 733 ident: br000730 article-title: Polycube splines publication-title: Comput. Aided Des. – volume: 199 start-page: 2059 year: 2010 end-page: 2071 ident: br000490 article-title: Full analytical sensitivities in NURBS based isogeometric shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. – reference: C.A. Felippa, Advanced Finite Element Methods (Lecture Notes), 2001. – volume: 200 start-page: 2021 year: 2011 end-page: 2031 ident: br000745 article-title: Parameterization of computational domain in isogeometric analysis: Methods and comparison publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 53 start-page: 1341 year: 2014 end-page: 1353 ident: br000155 article-title: On the assumed natural strain method to alleviate locking in solid-shell NURBS-based finite elements publication-title: Comput. Mech. – year: 2014 ident: br000445 article-title: A Nitsche’s method for mixed dimensional analysis: conforming and non-conforming solid-structure coupling publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 200 start-page: 1100 year: 2011 end-page: 1112 ident: br000685 article-title: Contact treatment in isogeometric analysis with NURBS publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 269 start-page: 334 year: 2014 end-page: 355 ident: br000330 article-title: GPU accelerated computation of the isogeometric analysis stiffness matrix publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 53 start-page: 1163 year: 2014 end-page: 1182 ident: br000440 article-title: Nitsche’s method for two and three dimensional NURBS patch coupling publication-title: Comput. Mech. – volume: 198 start-page: 2391 year: 2009 end-page: 2402 ident: br000375 article-title: Circular element: isogeometric elements of smooth boundary publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 5 year: 2012 ident: br000510 article-title: Isogeometric analysis in reduced magnetohydrodynamics publication-title: Comput. Sci. Discov. – volume: 87 start-page: 273 year: 2011 end-page: 288 ident: br000675 article-title: Isogeometric analysis of nearly incompressible solids publication-title: Internat. J. Numer. Methods Engrg. – reference: A. Wawrzinek, K. Hildebrandt, K. Polthier, Koiter’s thin shells on Catmull–Clark limit surfaces. in: Proceedings of the Vision, Modeling, and Visualization Workshop, Berlin, Germany, 4–6 October, 2011. – start-page: 71 year: 2005 end-page: 78 ident: br000770 article-title: NURBS-based Galerkin method and application to skeletal muscle modeling publication-title: Proceedings of the 2005 ACM Symposium on Solid and Physical Modeling – volume: 92 start-page: 56 year: 2012 end-page: 78 ident: br000535 article-title: The enhanced assumed strain method for the isogeometric analysis of nearly incompressible deformation of solids publication-title: Internat. J. Numer. Methods Engrg. – volume: 209–212 start-page: 87 year: 2012 end-page: 100 ident: br000635 article-title: A two-dimensional isogeometric boundary element method for elastostatic analysis publication-title: Comput. Methods Appl. Mech. Engrg. – year: 2001 ident: br000520 article-title: An Introduction to NURBS with Historical Perspective – volume: 200 start-page: 3568 year: 2011 end-page: 3582 ident: br000660 article-title: Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. – reference: . – volume: 253 start-page: 584 year: 2013 end-page: 598 ident: br000095 article-title: A subdivision-based implementation of the hierarchical b-spline finite element method publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 254 start-page: 170 year: 2013 end-page: 180 ident: br000200 article-title: A hierarchic family of isogeometric shell finite elements publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 254 start-page: 197 year: 2013 end-page: 221 ident: br000590 article-title: Isogeometric boundary element analysis using unstructured T-splines publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 249–252 start-page: 15 year: 2012 end-page: 27 ident: br000015 article-title: A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 198 start-page: 3534 year: 2009 end-page: 3550 ident: br000050 article-title: Patient-specific isogeometric fluid–structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 199 start-page: 264 year: 2010 end-page: 275 ident: br000185 article-title: Adaptive isogeometric analysis by local publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 47 start-page: 951 year: 2012 end-page: 967 ident: br000485 article-title: Two-dimensional elastostatic analysis using Coons–Gordon interpolation publication-title: Meccanica – volume: 41 start-page: 435 year: 1998 end-page: 458 ident: br000325 article-title: New B-Spline Finite Element approach for geometrical design and mechanical analysis publication-title: Internat. J. Numer. Methods Engrg. – volume: 46 start-page: 131 year: 1999 end-page: 150 ident: br000410 article-title: A finite element method for crack growth without remeshing publication-title: Internat. J. Numer. Methods Engrg. – volume: 29 start-page: 1575 year: 2010 end-page: 1584 ident: br000105 article-title: Iso-geometric finite element analysis based on Catmull–Clark : subdivision solids publication-title: Comput. Graph. Forum – year: 2009 ident: br000135 article-title: Isogeometric Analysis: Toward Integration of CAD and FEA – volume: 87 start-page: 1278 year: 2011 end-page: 1300 ident: br000370 article-title: A large deformation frictional contact formulation using NURBS-bases isogeometric analysis publication-title: Internat. J. Numer. Methods Engrg. – volume: 72 start-page: 243 year: 2013 end-page: 263 ident: br000425 article-title: Use of B-spline surface to model large-deformation continuum plates: procedure and applications publication-title: Nonlinear Dynam. – volume: 86 start-page: 115 year: 2011 end-page: 134 ident: br000710 article-title: An isogeometric analysis approach to gradient damage models publication-title: Internat. J. Numer. Methods Engrg. – volume: 198 start-page: 3902 year: 2009 end-page: 3914 ident: br000340 article-title: Isogeometric shell analysis with Kirchhoff–Love elements publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 83 start-page: 765 year: 2010 end-page: 785 ident: br000075 article-title: A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM publication-title: Internat. J. Numer. Methods Engrg. – volume: 79 start-page: 763 year: 2008 end-page: 813 ident: br000455 article-title: Meshless methods: A review and computer implementation aspects publication-title: Math. Comput. Simul. – start-page: 1 year: 2014 end-page: 20 ident: br000170 article-title: NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding publication-title: Comput. Mech. – volume: 259 start-page: 93 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000475 article-title: Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2013.03.016 – volume: 77 start-page: 2840 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000625 article-title: Abaqus implementation of extended finite element method using a level set representation of three-dimensional fatigue crack growth and life predictions publication-title: Eng. Fract. Mech. doi: 10.1016/j.engfracmech.2010.06.009 – volume: 199 start-page: 2403 issue: 37–40 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000335 article-title: The bending strip method for isogeometric analysis of Kirchhoff–Love shell structures comprised of multiple patches publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.03.029 – volume: 199 start-page: 357 issue: 5–8 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000365 article-title: Robustness of isogeometric structural discretizations under severe mesh distortion publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.01.022 – year: 2001 ident: 10.1016/j.matcom.2015.05.008_br000520 – volume: 86 start-page: 358 issue: 3 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000415 article-title: A level set based model for damage growth: The thick level set approach publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3069 – volume: 80 start-page: 507 issue: 4 year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000700 article-title: T-spline finite element method for the analysis of shell structures publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.2648 – volume: 198 start-page: 3534 issue: 45–46 year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000050 article-title: Patient-specific isogeometric fluid–structure interaction analysis of thoracic aortic blood flow due to implantation of the Jarvik 2000 left ventricular assist device publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.04.015 – volume: 241–244 start-page: 93 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000575 article-title: Isogeometric analysis of trimmed NURBS geometries publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.05.021 – volume: 229 start-page: 3402 issue: 9 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000035 article-title: Large eddy simulation of turbulent Taylor–Couette flow using isogeometric analysis and the residual-based variational multiscale method publication-title: J. Comput. Phys. doi: 10.1016/j.jcp.2010.01.008 – volume: 284 start-page: 1073 issue: 0 year: 2015 ident: 10.1016/j.matcom.2015.05.008_br000010 article-title: An isogeometric collocation method using superconvergent points publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2014.11.038 – volume: 5 issue: 014007 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000510 article-title: Isogeometric analysis in reduced magnetohydrodynamics publication-title: Comput. Sci. Discov. – volume: 200 start-page: 3568 issue: 49–52 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000660 article-title: Existence of stiffness matrix integrals for singularly parameterized domains in isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.08.023 – volume: 31 start-page: 107 issue: 2 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000645 article-title: Examination and analysis of implementation choices within the material point method (MPM) publication-title: Comput. Model. Eng. Sci. – volume: 200 start-page: 2021 issue: 23–24 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000745 article-title: Parameterization of computational domain in isogeometric analysis: Methods and comparison publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.03.005 – volume: 194 start-page: 4135 issue: 39–41 year: 2005 ident: 10.1016/j.matcom.2015.05.008_br000275 article-title: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2004.10.008 – volume: 200 start-page: 3410 issue: 47–48 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000460 article-title: Rotation free isogeometric thin shell analysis using PHT-splines publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.08.014 – volume: 213–216 start-page: 206 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000585 article-title: Local refinement of analysis suitable T-splines publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.11.022 – volume: 199 start-page: 264 issue: 5–8 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000185 article-title: Adaptive isogeometric analysis by local h-refinement with T-splines publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.07.012 – volume: 87 start-page: 273 issue: 1–5 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000675 article-title: Isogeometric analysis of nearly incompressible solids publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3048 – volume: 29 start-page: 1575 issue: 5 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000105 article-title: Iso-geometric finite element analysis based on Catmull–Clark : subdivision solids publication-title: Comput. Graph. Forum doi: 10.1111/j.1467-8659.2010.01766.x – volume: 200 start-page: 1432 issue: 13–16 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000555 article-title: Immersed B-spline (i-spline) finite element method for geometrically complex domains publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.12.008 – volume: 217–220 start-page: 77 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000090 article-title: A phase-field description of dynamic brittle fracture publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.01.008 – volume: 79 start-page: 763 issue: 3 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000455 article-title: Meshless methods: A review and computer implementation aspects publication-title: Math. Comput. Simul. doi: 10.1016/j.matcom.2008.01.003 – ident: 10.1016/j.matcom.2015.05.008_br000115 – volume: 195 start-page: 501 issue: 7–8 year: 2006 ident: 10.1016/j.matcom.2015.05.008_br000215 article-title: Appropriate extended functions for X-FEM simulation of plastic fracture mechanics publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2005.02.007 – volume: 241–244 start-page: 112 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000395 article-title: B-splines and NURBS based finite element methods for Kohn–Sham equations publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.04.016 – volume: 255 start-page: 133 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000080 article-title: Blended isogeometric shells publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.11.020 – volume: 89 start-page: 1069 issue: 9 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000245 article-title: Extended isogeometric analysis for simulation of stationary and propagating cracks publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3277 – volume: 47 start-page: 951 issue: 4 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000485 article-title: Two-dimensional elastostatic analysis using Coons–Gordon interpolation publication-title: Meccanica doi: 10.1007/s11012-011-9489-y – volume: 97 start-page: 608 issue: 8 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000290 article-title: An isogeometric analysis Bézier interface element for mechanical and poromechanical fracture problems publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.4615 – volume: 42 start-page: 1020 issue: 12 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000160 article-title: GeoPDEs: a research tool for isogeometric analysis of PDEs publication-title: Adv. Eng. Softw. doi: 10.1016/j.advengsoft.2011.06.010 – volume: 199 start-page: 2059 issue: 29–32 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000490 article-title: Full analytical sensitivities in NURBS based isogeometric shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.03.005 – start-page: 71 year: 2005 ident: 10.1016/j.matcom.2015.05.008_br000770 article-title: NURBS-based Galerkin method and application to skeletal muscle modeling – volume: 199 start-page: 374 issue: 5–8 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000195 article-title: Numerical efficiency, locking and unlocking of NURBS finite elements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.02.035 – volume: 20 start-page: 2075 issue: 11 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000025 article-title: Isogeometric collocation methods publication-title: Math. Models Methods Appl. Sci. doi: 10.1142/S0218202510004878 – volume: 1 start-page: 1091 issue: 1 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000210 article-title: F-bar projection method for finite deformation elasticity and plasticity using NURBS based isogeometric analysis publication-title: Int. J. Mater. Form. doi: 10.1007/s12289-008-0209-7 – volume: 92 start-page: 802 issue: 9 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000295 article-title: Spline-based meshfree method publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.4360 – volume: 41 start-page: 435 issue: 3 year: 1998 ident: 10.1016/j.matcom.2015.05.008_br000325 article-title: New B-Spline Finite Element approach for geometrical design and mechanical analysis publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/(SICI)1097-0207(19980215)41:3<435::AID-NME292>3.0.CO;2-U – volume: 270 start-page: 270 issue: 0 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000315 article-title: Goal-adaptive isogeometric analysis with hierarchical splines publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2013.11.026 – volume: 197 start-page: 2976 issue: 33–40 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000725 article-title: Isogeometric structural shape optimization publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.01.025 – volume: 197 start-page: 160 issue: 1–4 year: 2007 ident: 10.1016/j.matcom.2015.05.008_br000020 article-title: A fully locking-free isogeometric approach for plane linear elasticity problems: A stream function formulation publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2007.07.005 – volume: 253 start-page: 584 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000095 article-title: A subdivision-based implementation of the hierarchical b-spline finite element method publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.06.023 – volume: 264 start-page: 95 issue: 0 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000525 article-title: Blending isogeometric analysis and local maximum entropy meshfree approximants publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2013.05.015 – volume: 213–216 start-page: 353 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000130 article-title: The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.11.002 – volume: 102 start-page: 261 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000450 article-title: High-order B-splines based finite elements for delamination analysis of laminated composites publication-title: Compos. Struct. doi: 10.1016/j.compstruct.2013.02.029 – volume: 249–252 start-page: 104 issue: 0 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000500 article-title: Geometric modeling, isogeometric analysis and the finite cell method publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.05.022 – volume: 200 start-page: 1367 issue: 13–16 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000070 article-title: A large deformation, rotation-free, isogeometric shell publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.12.003 – volume: 74 start-page: 1928 issue: 13 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000260 article-title: Higher-order natural element methods: Towards an isogeometric meshless method publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.2237 – ident: 10.1016/j.matcom.2015.05.008_br000235 – volume: 200 start-page: 2237 issue: 25–28 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000495 article-title: Isogeometric shape optimization of photonic crystals via Coons patches publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.03.007 – volume: 43 start-page: 3 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000045 article-title: Isogeometric fluid–structure interaction: theory, algorithms, and computations publication-title: Comput. Mech. doi: 10.1007/s00466-008-0315-x – volume: 200 start-page: 1343 issue: 13–16 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000385 article-title: Isogeometric shape optimization of vibrating membranes publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.12.015 – volume: 118 start-page: 2 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000630 article-title: An isogeometric boundary element method for elastostatic analysis: 2D implementation aspects publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2012.12.021 – ident: 10.1016/j.matcom.2015.05.008_br000670 – volume: 213–216 start-page: 168 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000350 article-title: Enhancing isogeometric analysis by a finite element-based local refinement strategy publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.11.013 – volume: 198 start-page: 2391 issue: 30–32 year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000375 article-title: Circular element: isogeometric elements of smooth boundary publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.02.029 – start-page: 1 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000170 article-title: NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding publication-title: Comput. Mech. – volume: 199 start-page: 1828 issue: 25–28 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000255 article-title: Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.02.010 – volume: 87 start-page: 541 issue: 6 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000165 article-title: X-FEM in isogeometric analysis for linear fracture mechanics publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3121 – volume: 255 start-page: 27 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000400 article-title: A point to segment contact formulation for isogeometric, NURBS based finite elements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.11.011 – volume: 1437–1445 start-page: 199 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000100 article-title: Linear independence of the T-spline blending functions associated with some particular T-meshes publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 29 start-page: 519 issue: 7 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000265 article-title: Isogeometric simulation of turbine blades for aircraft engines publication-title: Comput. Aided Geom. Design doi: 10.1016/j.cagd.2012.03.002 – volume: 209–212 start-page: 45 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000055 article-title: An isogeometric method for the Reissner–Mindlin plate bending problem publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.10.009 – volume: 61 start-page: 193 issue: 1–2 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000355 article-title: Integration of B-spline geometry and ANCF finite element analysis publication-title: Nonlinear Dynam. doi: 10.1007/s11071-009-9641-6 – start-page: 1 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000360 article-title: A NURBS enhanced extended finite element approach for unfitted CAD analysis publication-title: Comput. Mech. – ident: 10.1016/j.matcom.2015.05.008_br000175 – year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000135 – volume: 249–252 start-page: 2 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000030 article-title: Isogeometric collocation for elastostatics and explicit dynamics publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.03.026 – ident: 10.1016/j.matcom.2015.05.008_br000600 – volume: 249–252 start-page: 15 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000015 article-title: A simple algorithm for obtaining nearly optimal quadrature rules for NURBS-based isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.04.014 – volume: 197 start-page: 2732 issue: 33–40 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000205 article-title: B-bar and f-bar projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.01.012 – volume: 13 start-page: 315 issue: 7 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000570 article-title: Realization of an integrated structural design process: analysis-suitable geometric modelling and isogeometric analysis publication-title: Comput. Vis. Sci. doi: 10.1007/s00791-010-0147-z – year: 2007 ident: 10.1016/j.matcom.2015.05.008_br000270 – volume: 267 start-page: 170 issue: 0 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000565 article-title: Isogeometric collocation: Cost comparison with galerkin methods and extension to adaptive hierarchical NURBS discretizations publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2013.07.017 – volume: 197 start-page: 1541 issue: 17–18 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000620 article-title: NURBS-based parametric mesh-free methods publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2007.11.024 – volume: 284 start-page: 21 issue: 0 year: 2015 ident: 10.1016/j.matcom.2015.05.008_br000190 article-title: Isogeometric collocation: Neumann boundary conditions and contact publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2014.06.037 – volume: 269 start-page: 334 issue: 0 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000330 article-title: GPU accelerated computation of the isogeometric analysis stiffness matrix publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2013.11.008 – start-page: 1 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000540 article-title: Blending moving least squares techniques with NURBS basis functions for nonlinear isogeometric analysis publication-title: Comput. Mech. – volume: 53 start-page: 1163 issue: 6 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000440 article-title: Nitsche’s method for two and three dimensional NURBS patch coupling publication-title: Comput. Mech. doi: 10.1007/s00466-013-0955-3 – volume: 26 start-page: 648 issue: 6 year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000390 article-title: Volumetric parameterization and trivariate B-spline fitting using harmonic functions publication-title: Comput. Aided Geom. Design doi: 10.1016/j.cagd.2008.09.008 – volume: 245–246 start-page: 1 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000665 article-title: Isogeometric enriched field approximations publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.06.006 – volume: 199 start-page: 2796 issue: 45–48 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000345 article-title: Isogeometric analysis with trimming technique for problems of arbitrary complex topology publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.04.015 – volume: 269 start-page: 222 issue: 0 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000595 article-title: Isogeometric spline forests publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2013.10.024 – volume: 190 start-page: 6183 year: 2000 ident: 10.1016/j.matcom.2015.05.008_br000650 article-title: Modelling holes and inclusions by level sets in the extended finite element method publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/S0045-7825(01)00215-8 – volume: 91 issue: 6 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000695 article-title: Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS-based isogeometric approach publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.4282 – volume: 88 start-page: 126 issue: 2 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000580 article-title: Isogeometric finite element data structures based on Bézier extraction of T-splines publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3167 – volume: 199 start-page: 301 issue: 5–8 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000285 article-title: Efficient quadrature for NURBS-based isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.12.004 – volume: 200 start-page: 1892 issue: 21–22 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000465 article-title: Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.01.018 – volume: 199 start-page: 229 issue: 5–8 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000040 article-title: Isogeometric analysis using T-splines publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.02.036 – volume: 83 start-page: 765 issue: 6 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000075 article-title: A generalized finite element formulation for arbitrary basis functions: From isogeometric analysis to XFEM publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.2864 – volume: 83 start-page: 1902 year: 2005 ident: 10.1016/j.matcom.2015.05.008_br000110 article-title: Evolutionary structural optimisation based on boundary representation of NURBS. Part I: 2D algorithms publication-title: Comput. Struct. doi: 10.1016/j.compstruc.2005.02.016 – volume: 87 start-page: 336 issue: 15 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000705 article-title: An isogeometric approach to cohesive zone modeling publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3061 – volume: vol. 5654 start-page: 19 year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000005 article-title: Swept volume parameterization for isogeometric analysis – volume: 83 start-page: 1273 issue: 10 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000405 article-title: Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.2861 – year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000445 article-title: A Nitsche’s method for mixed dimensional analysis: conforming and non-conforming solid-structure coupling publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 92 start-page: 56 issue: 1 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000535 article-title: The enhanced assumed strain method for the isogeometric analysis of nearly incompressible deformation of solids publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.4328 – volume: 53 start-page: 1341 issue: 6 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000155 article-title: On the assumed natural strain method to alleviate locking in solid-shell NURBS-based finite elements publication-title: Comput. Mech. doi: 10.1007/s00466-014-0978-4 – volume: 87 start-page: 1278 issue: 13 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000370 article-title: A large deformation frictional contact formulation using NURBS-bases isogeometric analysis publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3159 – volume: 44 start-page: 116 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000545 article-title: From the finite element analysis to the isogeometric analysis in an object oriented computing environment publication-title: Adv. Eng. Softw. doi: 10.1016/j.advengsoft.2011.05.032 – volume: 40 start-page: 721 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000730 article-title: Polycube splines publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2008.01.012 – start-page: 1 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000765 article-title: Conformal solid T-spline construction from boundary T-spline representations publication-title: Comput. Mech. – volume: 269 start-page: 46 issue: 0 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000530 article-title: Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2013.10.009 – volume: 284 start-page: 1120 issue: 0 year: 2015 ident: 10.1016/j.matcom.2015.05.008_br000180 article-title: Robust and optimal multi-iterative techniques for iga collocation linear systems publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2014.11.036 – volume: 209–212 start-page: 87 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000635 article-title: A two-dimensional isogeometric boundary element method for elastostatic analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.08.008 – volume: 284 start-page: 489 issue: 0 year: 2015 ident: 10.1016/j.matcom.2015.05.008_br000310 article-title: Isogeometric collocation methods for the reissner-mindlin plate problem publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2014.09.011 – volume: 221–222 start-page: 132 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000640 article-title: Isogeometric analysis with Powell–Sabin splines for advection-diffusion-reaction problems publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.02.009 – volume: 200 start-page: 3242 issue: 45–46 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000470 article-title: Discretizations in isogeometric analysis of Navier–Stokes flow publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.06.007 – volume: 47 start-page: 325 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000240 article-title: Isogeometric analysis of 2D gradient elasticity publication-title: Comput. Mech. doi: 10.1007/s00466-010-0543-8 – volume: 249–252 start-page: 185 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000760 article-title: Solid T-spline construction from boundary representations for genus-zero geometry publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.01.014 – volume: 200 start-page: 3554 issue: 49–52 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000715 article-title: A hierarchical approach to adaptive local refinement in isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.09.004 – volume: 60 start-page: 193 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000435 article-title: Two- and three-dimensional isogeometric cohesive elements for composite delamination analysis publication-title: Composites B doi: 10.1016/j.compositesb.2013.12.018 – volume: 97 start-page: 582 issue: 8 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000680 article-title: Multiscale thermomechanical contact: Computational homogenization with isogeometric analysis publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.4604 – volume: 83 start-page: 269 issue: 3 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000430 article-title: Integrating strong and weak discontinuities without integration subcells and example applications in an XFEM/GFEM framework publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.2798 – volume: 46 start-page: 131 issue: 1 year: 1999 ident: 10.1016/j.matcom.2015.05.008_br000410 article-title: A finite element method for crack growth without remeshing publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/(SICI)1097-0207(19990910)46:1<131::AID-NME726>3.0.CO;2-J – ident: 10.1016/j.matcom.2015.05.008_br000145 – volume: 27 start-page: 644 issue: 8 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000720 article-title: ISOGAT: a 2D tutorial MATLAB code for isogeometric analysis publication-title: Comput. Aided Geom. Design doi: 10.1016/j.cagd.2010.06.006 – volume: 200 start-page: 40 issue: 1–4 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000220 article-title: Isogeometric analysis for strain field measurements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.07.012 – volume: 22 start-page: 181 issue: 2 year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000550 article-title: On the integration of computer aided design and analysis using the finite element absolute nodal coordinate formulation publication-title: Multibody Syst. Dyn. doi: 10.1007/s11044-009-9157-3 – year: 1985 ident: 10.1016/j.matcom.2015.05.008_br000655 – volume: 198 start-page: 1726 issue: 21–26 year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000230 article-title: n-Widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.01.021 – volume: 195 start-page: 5257 issue: 41–43 year: 2006 ident: 10.1016/j.matcom.2015.05.008_br000140 article-title: Isogeometric analysis of structural vibrations publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2005.09.027 – volume: 200 start-page: 233 issue: 1–4 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000380 article-title: Cylindrical element: isogeometric model of continuum rod publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.08.007 – volume: 200 start-page: 774 issue: 5–8 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000420 article-title: Finite element analysis on implicitly defined domains: An accurate representation based on arbitrary parametric surfaces publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.10.002 – volume: 242–252 start-page: 116 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000560 article-title: An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.03.017 – year: 1996 ident: 10.1016/j.matcom.2015.05.008_br000480 – volume: 67 start-page: 177 issue: 1 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000750 article-title: Numerical convergence of finite element solutions of nonrational B-spline element and absolute nodal coordinate formulation publication-title: Nonlinear Dynam. doi: 10.1007/s11071-011-9970-0 – volume: 70 start-page: 76 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000150 article-title: Polynomial splines over hierarchical T-meshes publication-title: Graph. Models doi: 10.1016/j.gmod.2008.03.001 – volume: 200 start-page: 3210 issue: 45–46 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000225 article-title: A new approach to solid modeling with trivariate T-splines based on mesh optimization publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.07.004 – volume: 76 start-page: 56 issue: 1 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000610 article-title: NURBS-enhanced finite element method (NEFEM) publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.2311 – volume: 47 start-page: 2039 issue: 12 year: 2000 ident: 10.1016/j.matcom.2015.05.008_br000120 article-title: Subdivision surfaces: a new paradigm for thin-shell finite-element analysis publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/(SICI)1097-0207(20000430)47:12<2039::AID-NME872>3.0.CO;2-1 – volume: 199 start-page: 334 issue: 5–8 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000125 article-title: Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.09.010 – volume: 199 start-page: 276 issue: 5–8 year: 2010 ident: 10.1016/j.matcom.2015.05.008_br000065 article-title: Isogeometric shell analysis: The Reissner–Mindlin shell publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.05.011 – volume: 197 start-page: 4333 issue: 49–50 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000250 article-title: Isogeometric analysis of the Cahn-Hilliard phase-field model publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.05.003 – volume: 278 start-page: 239 issue: 0 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000060 article-title: Overlapping schwarz preconditioners for isogeometric collocation methods publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2014.05.007 – volume: 197 start-page: 4104 issue: 49–50 year: 2008 ident: 10.1016/j.matcom.2015.05.008_br000280 article-title: Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: Comparison of p-method finite elements with k-method NURBS publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2008.04.006 – volume: 72 start-page: 243 issue: 1–2 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000425 article-title: Use of B-spline surface to model large-deformation continuum plates: procedure and applications publication-title: Nonlinear Dynam. doi: 10.1007/s11071-012-0709-3 – volume: 196 start-page: 2943 issue: 29–30 year: 2007 ident: 10.1016/j.matcom.2015.05.008_br000755 article-title: Patient-specific vascular NURBS modeling for isogeometric analysis of blood flow publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2007.02.009 – year: 2005 ident: 10.1016/j.matcom.2015.05.008_br000515 – volume: 254 start-page: 170 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000200 article-title: A hierarchic family of isogeometric shell finite elements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.10.018 – volume: 260 start-page: 92 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000735 article-title: Novel higher order mass matrices for isogeometric structural vibration analysis publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2013.03.011 – ident: 10.1016/j.matcom.2015.05.008_br000505 – volume: 86 start-page: 115 issue: 1 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000710 article-title: An isogeometric analysis approach to gradient damage models publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3150 – volume: 200 start-page: 726 issue: 5–8 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000305 article-title: Isogeometric contact analysis: geometric basis and formulation for frictionless contact publication-title: Comput. Methods Appl. Mech. Engrg. – volume: 198 start-page: 3902 issue: 49–52 year: 2009 ident: 10.1016/j.matcom.2015.05.008_br000340 article-title: Isogeometric shell analysis with Kirchhoff–Love elements publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2009.08.013 – volume: 87 start-page: 15 issue: 15 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000085 article-title: Isogeometric finite element data structures based on Bézier extraction of NURBS publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.2968 – volume: 88 start-page: 103 issue: 2 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000615 article-title: 3D NURBS-enhanced finite element method (NEFEM) publication-title: Internat. J. Numer. Methods Engrg. doi: 10.1002/nme.3164 – volume: 254 start-page: 197 year: 2013 ident: 10.1016/j.matcom.2015.05.008_br000590 article-title: Isogeometric boundary element analysis using unstructured T-splines publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2012.11.001 – volume: 200 start-page: 1100 issue: 9–12 year: 2011 ident: 10.1016/j.matcom.2015.05.008_br000685 article-title: Contact treatment in isogeometric analysis with NURBS publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2010.11.020 – volume: 32 start-page: 539 issue: 8–9 year: 2000 ident: 10.1016/j.matcom.2015.05.008_br000320 article-title: Integrated mechanically based CAE system using B-Spline finite elements publication-title: Comput. Aided Des. doi: 10.1016/S0010-4485(00)00041-5 – volume: 46 start-page: 45 issue: 0 year: 2014 ident: 10.1016/j.matcom.2015.05.008_br000300 article-title: Isogeometric analysis on triangulations publication-title: Comput. Aided Des. doi: 10.1016/j.cad.2013.08.017 – volume: 209–212 start-page: 115 year: 2012 ident: 10.1016/j.matcom.2015.05.008_br000690 article-title: Three-Dimensional Mortar-Based frictional contact treatment in isogeometric analysis with NURBS publication-title: Comput. Methods Appl. Mech. Engrg. doi: 10.1016/j.cma.2011.10.014 – volume: 22 start-page: 477 year: 2003 ident: 10.1016/j.matcom.2015.05.008_br000605 article-title: T-splines and T-NURCCs publication-title: ACM Trans. Graph. doi: 10.1145/882262.882295 – ident: 10.1016/j.matcom.2015.05.008_br000740
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Snippet	Isogeometric analysis (IGA) represents a recently developed technology in computational mechanics that offers the possibility of integrating methods for...
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Title	Isogeometric analysis: An overview and computer implementation aspects
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