Shape optimization by conventional and extended isogeometric boundary element method with PSO for two-dimensional Helmholtz acoustic problems
In this paper, a new approach is developed for applications of shape optimization on the two-dimensional time harmonic wave propagation (Helmholtz equation) in acoustic problems. The particle swarm optimization (PSO) algorithm - a gradient-free optimization method avoiding the sensitivity analysis -...
Saved in:
| Published in | Engineering analysis with boundary elements Vol. 113; pp. 156 - 169 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.04.2020
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 0955-7997 1873-197X |
| DOI | 10.1016/j.enganabound.2019.12.012 |
Cover
Loading…
| Abstract | In this paper, a new approach is developed for applications of shape optimization on the two-dimensional time harmonic wave propagation (Helmholtz equation) in acoustic problems. The particle swarm optimization (PSO) algorithm - a gradient-free optimization method avoiding the sensitivity analysis - is coupled with two boundary element methods (BEM) and isogeometric analysis (IGA). The first method is the conventional isogeometric boundary element method (IGABEM). The second method is the eXtended IGABEM (XIBEM) enriched with the partition-of-unity expansion using a set of plane waves. In both methods, the computational domain is parameterized and the unknown solution is approximated using non-uniform rational B-splines basis functions (NURBS).
In the optimization models, the advantage of IGA is the feature of representing the three models; i.e. shape design/analysis/optimization, using a set of control points, which also represent control variables and optimization parameters, making communication between the three models easy and straightforward.
A numerical example is considered for the duct problem to validate the presented techniques against the analytical solution. Furthermore, two different applications for various frequencies are studied; the vertical noise barrier and the horn problems, and the obtained results are compared against previously published numerical methods using sensitivity analysis and genetic algorithms to verify the efficiency of the proposed approaches. |
|---|---|
| AbstractList | In this paper, a new approach is developed for applications of shape optimization on the two-dimensional time harmonic wave propagation (Helmholtz equation) in acoustic problems. The particle swarm optimization (PSO) algorithm - a gradient-free optimization method avoiding the sensitivity analysis - is coupled with two boundary element methods (BEM) and isogeometric analysis (IGA). The first method is the conventional isogeometric boundary element method (IGABEM). The second method is the eXtended IGABEM (XIBEM) enriched with the partition-of-unity expansion using a set of plane waves. In both methods, the computational domain is parameterized and the unknown solution is approximated using non-uniform rational B-splines basis functions (NURBS).
In the optimization models, the advantage of IGA is the feature of representing the three models; i.e. shape design/analysis/optimization, using a set of control points, which also represent control variables and optimization parameters, making communication between the three models easy and straightforward.
A numerical example is considered for the duct problem to validate the presented techniques against the analytical solution. Furthermore, two different applications for various frequencies are studied; the vertical noise barrier and the horn problems, and the obtained results are compared against previously published numerical methods using sensitivity analysis and genetic algorithms to verify the efficiency of the proposed approaches. |
| Author | Atroshchenko, Elena Mostafa Shaaban, Ahmed Rabczuk, Timon Anitescu, Cosmin |
| Author_xml | – sequence: 1 givenname: Ahmed surname: Mostafa Shaaban fullname: Mostafa Shaaban, Ahmed organization: Institute of Structural Mechanics, Bauhaus-Universität Weimar, Weimar, Germany – sequence: 2 givenname: Cosmin surname: Anitescu fullname: Anitescu, Cosmin organization: Institute of Structural Mechanics, Bauhaus-Universität Weimar, Weimar, Germany – sequence: 3 givenname: Elena surname: Atroshchenko fullname: Atroshchenko, Elena organization: School of Civil and Environmental Engineering, University of New South Wales, Sydney, Australia – sequence: 4 givenname: Timon surname: Rabczuk fullname: Rabczuk, Timon email: timon.rabczuk@tdtu.edu.vn organization: Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Vietnam |
| BookMark | eNqNkM1KAzEQgIMo2FbfIT7Arkna7DYnkaJWECqo4C1kk1mbspuUJFr1HXxnU-tBPPU0zN83zDdEh847QOiMkpISWp2vSnAvyqnGvzpTMkJFSVlJKDtAAzqtxwUV9fMhGhDBeVELUR-jYYwrQuiYkGqAvh6Wag3Yr5Pt7adK1jvcfGDt3Ru4baY6rJzB8J7AGTDYRv8CvocUrMY_V1X4wNBBn-dxri-9wRublvj-YYFbH3Da-MLY3I473By6fum79ImV9q8xZc46-CYT4gk6alUX4fQ3jtDT9dXjbF7cLW5uZ5d3hR4zmgqhKzCc66kgDVVmqisyaZloKDeGgDYUJoqLCppKAQOhasY4YcAb3uqmndTjERI7rg4-xgCtXAfb50ckJXLrVa7kH69y61VSJrPXvHvxb1fb9CMuBWW7vQizHQHyi28WgozagtNgbACdpPF2D8o3pEOkzQ |
| CitedBy_id | crossref_primary_10_1016_j_cma_2025_117843 crossref_primary_10_1177_10775463221123963 crossref_primary_10_1016_j_ijmecsci_2025_110129 crossref_primary_10_1016_j_wavemoti_2021_102758 crossref_primary_10_1007_s00339_022_05583_0 crossref_primary_10_1007_s00542_022_05303_x crossref_primary_10_1016_j_jics_2021_100241 crossref_primary_10_1063_5_0191290 crossref_primary_10_1016_j_enganabound_2022_12_021 crossref_primary_10_32604_cmes_2021_016794 crossref_primary_10_1016_j_cma_2021_113950 crossref_primary_10_1016_j_enganabound_2021_04_008 crossref_primary_10_1016_j_advengsoft_2021_102992 crossref_primary_10_3390_buildings12010067 crossref_primary_10_1007_s11709_022_0900_7 crossref_primary_10_1016_j_cad_2021_103126 crossref_primary_10_1016_j_matcom_2023_09_018 crossref_primary_10_1016_j_enganabound_2023_08_022 crossref_primary_10_1016_j_jsv_2020_115598 crossref_primary_10_1007_s40997_023_00604_6 crossref_primary_10_1016_j_enganabound_2020_12_009 crossref_primary_10_1016_j_apacoust_2021_108410 crossref_primary_10_1007_s40997_022_00553_6 crossref_primary_10_1016_j_advengsoft_2022_103191 crossref_primary_10_1007_s00366_023_01933_5 crossref_primary_10_1007_s00366_023_01788_w crossref_primary_10_1016_j_compstruc_2023_107192 crossref_primary_10_1007_s11709_022_0867_4 crossref_primary_10_1007_s11709_022_0868_3 crossref_primary_10_1016_j_cma_2023_116063 crossref_primary_10_1016_j_enganabound_2024_105770 crossref_primary_10_1007_s11831_024_10185_5 crossref_primary_10_1016_j_enganabound_2024_105978 crossref_primary_10_1016_j_oceaneng_2020_108202 crossref_primary_10_32604_cmes_2022_020201 crossref_primary_10_1016_j_enganabound_2022_06_028 crossref_primary_10_1016_j_jsv_2023_117746 crossref_primary_10_3389_fmats_2022_956182 crossref_primary_10_1007_s11709_021_0740_x crossref_primary_10_1016_j_cma_2022_115647 crossref_primary_10_1016_j_camwa_2022_11_007 |
| Cites_doi | 10.1002/nme.3183 10.1016/S0045-7825(96)01087-0 10.1142/S0218202510004878 10.1016/j.gmod.2008.03.001 10.1016/j.cma.2016.11.007 10.1016/j.cma.2018.06.019 10.1007/s10704-016-0153-3 10.1016/j.cad.2016.07.002 10.1002/nme.2132 10.1007/s10957-013-0435-0 10.1016/j.cma.2016.05.038 10.1121/1.385463 10.1121/1.401284 10.1016/j.apacoust.2003.08.006 10.1002/(SICI)1097-0207(20000228)47:6<1169::AID-NME824>3.0.CO;2-9 10.4028/www.scientific.net/KEM.518.95 10.1016/j.apacoust.2014.09.007 10.1007/s00158-016-1448-8 10.1016/j.camwa.2018.12.026 10.1016/0021-9991(89)90041-7 10.1002/cnm.1102 10.1016/j.apacoust.2012.09.007 10.1121/1.384727 10.1016/S0022-460X(02)01006-4 10.1109/LAWP.2013.2271743 10.1016/j.cma.2013.09.014 10.1007/s00158-013-0939-0 10.1016/j.compstruc.2018.05.009 10.1016/j.cma.2014.07.001 10.1007/s00158-013-0931-8 10.1016/j.cma.2013.10.026 10.1002/nme.1620240509 10.1016/S0045-7825(02)00656-4 10.1016/j.cma.2014.02.001 10.1016/j.cad.2011.08.031 10.1115/1.4029539 |
| ContentType | Journal Article |
| Copyright | 2019 Elsevier Ltd |
| Copyright_xml | – notice: 2019 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.enganabound.2019.12.012 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Engineering |
| EISSN | 1873-197X |
| EndPage | 169 |
| ExternalDocumentID | 10_1016_j_enganabound_2019_12_012 S0955799719306733 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1~. 1~5 29G 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO AAYFN AAYOK ABAOU ABBOA ABEFU ABFNM ABMAC ABXDB ABYKQ ACAZW ACDAQ ACGFS ACNNM ACRLP ACZNC ADBBV ADEZE ADGUI ADJOM ADMUD ADTZH AEBSH AECPX AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AHJVU AHZHX AI. AIALX AIEXJ AIGVJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ARUGR ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-2 G-Q GBLVA GBOLZ HVGLF HZ~ IHE J1W JJJVA KOM LY7 M41 MHUIS MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SDF SDG SDP SES SET SEW SPC SPCBC SST SSV SSW SSZ T5K TN5 UHS VH1 WUQ XPP ZMT ~G- AATTM AAXKI AAYWO AAYXX ABJNI ABWVN ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AFXIZ AGCQF AGQPQ AGRNS AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP BNPGV CITATION |
| ID | FETCH-LOGICAL-c321t-9c6ed55c890b1ad8c604f29b15dd0ecd1e4a596eb6ae2e9a722502e5b5fcbf473 |
| IEDL.DBID | .~1 |
| ISSN | 0955-7997 |
| IngestDate | Tue Jul 01 02:31:50 EDT 2025 Thu Apr 24 23:10:13 EDT 2025 Fri Feb 23 02:48:37 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Acoustics Partition of Unity BEM Isogeometric Analysis Shape Optimization |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c321t-9c6ed55c890b1ad8c604f29b15dd0ecd1e4a596eb6ae2e9a722502e5b5fcbf473 |
| PageCount | 14 |
| ParticipantIDs | crossref_primary_10_1016_j_enganabound_2019_12_012 crossref_citationtrail_10_1016_j_enganabound_2019_12_012 elsevier_sciencedirect_doi_10_1016_j_enganabound_2019_12_012 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | April 2020 2020-04-00 |
| PublicationDateYYYYMMDD | 2020-04-01 |
| PublicationDate_xml | – month: 04 year: 2020 text: April 2020 |
| PublicationDecade | 2020 |
| PublicationTitle | Engineering analysis with boundary elements |
| PublicationYear | 2020 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Goel, Jain (bib0001) 1981; 69 Piegl, Tille (bib0010) 1995 Chai, You, Li, Huang, Yue, Wang (bib0013) 2018; 203 Bazilevs, Calo, Cottrell, Evans, Hughes, Lipton (bib0011) 2010; 199 Huttunen, Gamallo, Astley (bib0045) 2009; 25 Chen, Liu, Zhao, Liu (bib0022) 2018; 336 Simpson, Bordas, Trevelyan, Rabczuk (bib0015) 2012; 209-212 Barbieri, Barbieri (bib0047) 2013; 74 Li, Qian (bib0032) 2011; 43 Sun, Yu, Nguyen, Atroshchenko, Bui (bib0030) 2018; 88 Willberg, Duczek, Vivar Perez, Ahmad (bib0004) 2015; 67 Johannessen, Kvamsdal, Dokken (bib0049) 2014; 269 Nørtoft, Gravesen (bib0039) 2013; 48 Blanchard, Duvigneau, Vuong, Simeon (bib0033) 2014; 161 Auricchio, da Veiga, Huges, Reali, Sangalli (bib0012) 2010; 20 Ishizuka, Fujiwara (bib0046) 2004; 65 Espath, Linn, Awruch (bib0035) 2011; 88 Ding, Cui, Li (bib0034) 2016; 54 Kostas, Ginnis, Politis, Kaklis (bib0037) 2017; 82 Nguyen, Dang, Kilic, El-Araby (bib0040) 2013; 12 Strouboulis, BabuÅ!‘ka, Hidajat (bib0006) 2006; 195 Barbieri, Barbieri, de Lima (bib0031) 2015; 89 Perrey-Debain, Trevelyan, Bettess (bib0024) 2003; 261 Telles (bib0044) 1987; 24 Udawalpola, Berggren (bib0048) 2008; 73 Peng, Atroshchenko, Kerfriden, Bordas (bib0016) 2017; 204 Kane, Mao, Everstine (bib0025) 1991; 90 Harari, Hughes (bib0005) 1992; 98 Ginnis, Kostas, Politis, Kaklis, Belibassakis, Gerostathis (bib0019) 2014; 279 Kostas, Fyrillas, Politis, Ginnis, Kaklis (bib0041) 2018; 340 Simpson, Scott, Taus, Thomas, Lian (bib0021) 2014; 269 Peng, Atroshchenko, Kerfriden, Bordas (bib0017) 2017; 316 Su, Varadan, Varadan, Flax (bib0002) 1980; 68 Duczek, Willberg, Schmicker, Gabbert (bib0003) 2012; 518 Park, Seo, Sigmund, Youn (bib0038) 2013; 48 M, G., J., J. (bib0043) 1992; 59(3) Deng, Chen, Li, Hu, Tong, Yang (bib0050) 2008; 70 Peake, Trevelyan, Coates (bib0020) 2013; 259 Beer, Mallardo, Ruocco, Marussig, Zechner, Dünser (bib0018) 2017; 315 Suleau, Bouillard (bib0007) 2000; 47 Wrobel (bib0008) 2002; 1 Keller, Givoli (bib0042) 1989; 82 Hughes, Cottrell, Bazilevs (bib0009) 2005; 194 Kennedy, Eberhart (bib0028) 1995; 4 Eberhart, Kennedy (bib0029) 1995 Bängtsson, Noreland, Berggren (bib0026) 2003; 192 Melenk, BabuÅ!‘ka (bib0023) 1996; 139 Chen, Chen, Zheng, Marburg (bib0027) 2016; 82 Kiendl, Schmidt, Wüchner, Bletzinger (bib0036) 2014; 274 Videla, Anitescu, Khajah, Bordas, Atroshchenko (bib0014) 2019; 77 Ginnis (10.1016/j.enganabound.2019.12.012_bib0019) 2014; 279 Huttunen (10.1016/j.enganabound.2019.12.012_bib0045) 2009; 25 Kostas (10.1016/j.enganabound.2019.12.012_bib0041) 2018; 340 Harari (10.1016/j.enganabound.2019.12.012_bib0005) 1992; 98 Kane (10.1016/j.enganabound.2019.12.012_bib0025) 1991; 90 Telles (10.1016/j.enganabound.2019.12.012_bib0044) 1987; 24 Wrobel (10.1016/j.enganabound.2019.12.012_bib0008) 2002; 1 Peng (10.1016/j.enganabound.2019.12.012_bib0016) 2017; 204 Keller (10.1016/j.enganabound.2019.12.012_bib0042) 1989; 82 Nguyen (10.1016/j.enganabound.2019.12.012_bib0040) 2013; 12 Duczek (10.1016/j.enganabound.2019.12.012_bib0003) 2012; 518 Auricchio (10.1016/j.enganabound.2019.12.012_bib0012) 2010; 20 Peake (10.1016/j.enganabound.2019.12.012_bib0020) 2013; 259 Piegl (10.1016/j.enganabound.2019.12.012_bib0010) 1995 Ding (10.1016/j.enganabound.2019.12.012_bib0034) 2016; 54 Udawalpola (10.1016/j.enganabound.2019.12.012_bib0048) 2008; 73 Bazilevs (10.1016/j.enganabound.2019.12.012_bib0011) 2010; 199 Espath (10.1016/j.enganabound.2019.12.012_bib0035) 2011; 88 Kostas (10.1016/j.enganabound.2019.12.012_bib0037) 2017; 82 Blanchard (10.1016/j.enganabound.2019.12.012_bib0033) 2014; 161 Eberhart (10.1016/j.enganabound.2019.12.012_bib0029) 1995 Park (10.1016/j.enganabound.2019.12.012_bib0038) 2013; 48 Perrey-Debain (10.1016/j.enganabound.2019.12.012_bib0024) 2003; 261 Willberg (10.1016/j.enganabound.2019.12.012_bib0004) 2015; 67 Chen (10.1016/j.enganabound.2019.12.012_bib0022) 2018; 336 Videla (10.1016/j.enganabound.2019.12.012_bib0014) 2019; 77 Barbieri (10.1016/j.enganabound.2019.12.012_bib0031) 2015; 89 Chen (10.1016/j.enganabound.2019.12.012_bib0027) 2016; 82 Kennedy (10.1016/j.enganabound.2019.12.012_bib0028) 1995; 4 Li (10.1016/j.enganabound.2019.12.012_bib0032) 2011; 43 Strouboulis (10.1016/j.enganabound.2019.12.012_bib0006) 2006; 195 Nørtoft (10.1016/j.enganabound.2019.12.012_bib0039) 2013; 48 Goel (10.1016/j.enganabound.2019.12.012_bib0001) 1981; 69 Simpson (10.1016/j.enganabound.2019.12.012_bib0021) 2014; 269 Su (10.1016/j.enganabound.2019.12.012_bib0002) 1980; 68 Beer (10.1016/j.enganabound.2019.12.012_bib0018) 2017; 315 Melenk (10.1016/j.enganabound.2019.12.012_bib0023) 1996; 139 M (10.1016/j.enganabound.2019.12.012_bib0043) 1992; 59(3) Suleau (10.1016/j.enganabound.2019.12.012_bib0007) 2000; 47 Ishizuka (10.1016/j.enganabound.2019.12.012_bib0046) 2004; 65 Chai (10.1016/j.enganabound.2019.12.012_bib0013) 2018; 203 Kiendl (10.1016/j.enganabound.2019.12.012_bib0036) 2014; 274 Hughes (10.1016/j.enganabound.2019.12.012_bib0009) 2005; 194 Bängtsson (10.1016/j.enganabound.2019.12.012_bib0026) 2003; 192 Deng (10.1016/j.enganabound.2019.12.012_bib0050) 2008; 70 Barbieri (10.1016/j.enganabound.2019.12.012_bib0047) 2013; 74 Simpson (10.1016/j.enganabound.2019.12.012_bib0015) 2012; 209-212 Sun (10.1016/j.enganabound.2019.12.012_bib0030) 2018; 88 Peng (10.1016/j.enganabound.2019.12.012_bib0017) 2017; 316 Johannessen (10.1016/j.enganabound.2019.12.012_bib0049) 2014; 269 |
| References_xml | – volume: 274 start-page: 148 year: 2014 end-page: 167 ident: bib0036 article-title: Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting publication-title: Comput Method Appl Mech Eng – volume: 261 start-page: 839 year: 2003 end-page: 858 ident: bib0024 article-title: Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications publication-title: J Sound Vibrat – volume: 74 start-page: 356 year: 2013 end-page: 363 ident: bib0047 article-title: Acoustic horns optimization using finite elements and genetic algorithm publication-title: Appl Acoust – volume: 90 start-page: 561 year: 1991 end-page: 573 ident: bib0025 article-title: A boundary element formulation for acoustic shape sensitivity analysis publication-title: J Acoust Soc Am – volume: 54 start-page: 871 year: 2016 end-page: 887 ident: bib0034 article-title: Accurate analysis and thickness optimization of tailor rolled blanks based on isogeometric analysis publication-title: Struct Multidiscip Optim – volume: 269 start-page: 265 year: 2014 end-page: 290 ident: bib0021 article-title: Acoustic isogeometric boundary element analysis publication-title: Comput Method Appl Mech Eng – volume: 316 start-page: 151 year: 2017 end-page: 185 ident: bib0017 article-title: Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth publication-title: Comput Method Appl Mech Eng – volume: 204 start-page: 55 year: 2017 end-page: 78 ident: bib0016 article-title: Linear elastic fracture simulation directly from cad: 2D nurbs-based implementation and role of tip enrichment publication-title: Int J Fract – volume: 82 start-page: 79 year: 2017 end-page: 87 ident: bib0037 article-title: Shape-optimization of 2D hydrofoils using an isogeometric BEM solver publication-title: Comput-Aided Des – volume: 195 start-page: 4711 year: 2006 end-page: 4731 ident: bib0006 article-title: The generalized finite element method for Helmholtz equation: theory, computation, and open problems publication-title: CMAME – volume: 25 start-page: 35 year: 2009 end-page: 52 ident: bib0045 article-title: Comparison of two wave element methods for the Helmholtz problem publication-title: Commun Numer Method Eng – volume: 269 start-page: 471 year: 2014 end-page: 514 ident: bib0049 article-title: Isogeometric analysis using LR B-splines publication-title: Comput Method Appl Mech Eng – volume: 77 start-page: 2369 year: 2019 end-page: 2395 ident: bib0014 article-title: h- and p-adaptivity driven by recovery and residual-based error estimators for pht-splines applied to time-harmonic acoustics publication-title: Comput Math Appl – volume: 279 start-page: 425 year: 2014 end-page: 439 ident: bib0019 article-title: Isogeometric boundary-element analysis for the wave-resistance problem using t-splines publication-title: Comput Method Appl Mech Eng – volume: 199 start-page: 229 year: 2010 end-page: 263 ident: bib0011 article-title: Isogeometric analysis using T-splines publication-title: CMAME – volume: 48 start-page: 909 year: 2013 end-page: 925 ident: bib0039 article-title: Isogeometric shape optimization in fluid mechanics publication-title: Struct Multidiscip Optim – volume: 65 start-page: 125 year: 2004 end-page: 141 ident: bib0046 article-title: Performance of noise barriers with various edge shapes and acoustical conditions publication-title: Appl Acoustic – volume: 194 start-page: 4135 year: 2005 end-page: 4195 ident: bib0009 article-title: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement publication-title: CMAME – volume: 67 start-page: 1 year: 2015 end-page: 20 ident: bib0004 article-title: Simulation methods for guided-wave based structural health monitoring: a review publication-title: Appl. Mech. Rev. – volume: 88 start-page: 26 year: 2018 end-page: 40 ident: bib0030 article-title: Structural shape optimization by IGABEM and particle swarm optimization algorithm publication-title: EABE – volume: 340 start-page: 600 year: 2018 end-page: 614 ident: bib0041 article-title: Shape optimization of conductive-media interfaces using an IGA-BEM solver publication-title: Comput Method Appl Mech Eng – volume: 89 start-page: 62 year: 2015 end-page: 70 ident: bib0031 article-title: Some applications of the PSO for optimization of acoustic filters publication-title: Appl Acoust – volume: 59(3) start-page: 604 year: 1992 end-page: 614 ident: bib0043 article-title: A general algorithm for the numerical solution of hypersingular boundary integral equations publication-title: J Appl Mech ASME – volume: 192 start-page: 1533 year: 2003 end-page: 1571 ident: bib0026 article-title: Shape optimization of an acoustic horn publication-title: Comput Method Appl Mech Eng – volume: 24 start-page: 959 year: 1987 end-page: 973 ident: bib0044 article-title: A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals publication-title: Int J Numer Method Eng – volume: 48 start-page: 965 year: 2013 end-page: 977 ident: bib0038 article-title: Shape optimization of the stokes flow problem based on isogeometric analysis publication-title: Struct Multidiscip Optim – volume: 12 start-page: 868 year: 2013 end-page: 871 ident: bib0040 article-title: Parallelizing fast multipole method for large-scale electromagnetic problems using GPU clusters publication-title: IEEE Antennas Wirel Propagat Lett – year: 1995 ident: bib0010 article-title: The NURBS book publication-title: Springer – volume: 203 start-page: 43 year: 2018 end-page: 58 ident: bib0013 article-title: Application of the edge-based gradient smoothing technique to acoustic radiation and acoustic scattering from rigid and elastic structures in two dimensions publication-title: Comput Struct – volume: 259 start-page: 93 year: 2013 end-page: 102 ident: bib0020 article-title: Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems publication-title: CMAME – volume: 139 start-page: 289 year: 1996 end-page: 314 ident: bib0023 article-title: The partition of unity finite element method: basic theory and applications publication-title: Comput Method Appl Mech Eng – volume: 209-212 start-page: 87 year: 2012 end-page: 100 ident: bib0015 article-title: A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis publication-title: CMAME – volume: 70 start-page: 76 year: 2008 end-page: 86 ident: bib0050 article-title: Polynomial splines over hierarchical T-meshes publication-title: Graph Models – start-page: 39 year: 1995 end-page: 42 ident: bib0029 article-title: A new optimizer using particle swarm theory publication-title: Proceedings of the Sixth International Symposium on Micro Machine and Human Science – volume: 20 start-page: 2075 year: 2010 end-page: 2107 ident: bib0012 article-title: Isogeometric collocation methods publication-title: Math Model Methods Appl Sci – volume: 88 start-page: 613 year: 2011 end-page: 636 ident: bib0035 article-title: Shape optimization of shell structures based on NURBS description using automatic differentiation publication-title: Int J Numer Method Eng – volume: 47 start-page: 1169 year: 2000 end-page: 1188 ident: bib0007 article-title: One-dimensional dispersion analysis for the element-free Galerkin method for the helmholtz equation publication-title: IJNME – volume: 518 start-page: 95 year: 2012 end-page: 105 ident: bib0003 article-title: Development, validation and comparison of higher order finite element approaches to compute the propagation of Lamb waves efficiently publication-title: Key Eng. Mater. – volume: 1 year: 2002 ident: bib0008 article-title: The boundary element method: Applications in thermo-fluids and acoustics publication-title: John Wiley & Sons – volume: 98 start-page: 411 year: 1992 end-page: 454 ident: bib0005 article-title: Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains publication-title: CMAME – volume: 82 start-page: 858 year: 2016 end-page: 878 ident: bib0027 article-title: Structural acoustic sensitivity analysis of radiated sound power using a finite element/ discontinuous fast multipole boundary element scheme publication-title: IJNMF – volume: 82 start-page: 172 year: 1989 end-page: 192 ident: bib0042 article-title: Exact non-reflecting boundary conditions publication-title: J Comput Phys – volume: 336 start-page: 507 year: 2018 end-page: 532 ident: bib0022 article-title: An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution publication-title: CMAME – volume: 69 start-page: 371 year: 1981 end-page: 379 ident: bib0001 article-title: Scattering of plane waves by a penetrable elliptic cylinder publication-title: JASA – volume: 43 start-page: 1427 year: 2011 end-page: 1437 ident: bib0032 article-title: Isogeometric analysis and shape optimization via boundary integral publication-title: Comput-Aided Des – volume: 4 start-page: 1942 year: 1995 end-page: 1948 ident: bib0028 article-title: Particle swarm optimization publication-title: Proceedings of ICNN’95 - International Conference on Neural Networks – volume: 68 start-page: 686 year: 1980 end-page: 691 ident: bib0002 article-title: Acoustic wave scattering by a finite elastic cylinder in water publication-title: JASA – volume: 315 start-page: 418 year: 2017 end-page: 433 ident: bib0018 article-title: Isogeometric boundary element analysis with elasto-plastic inclusions. part 2: 3-d problems publication-title: Comput Method Appl Mech Eng – volume: 161 start-page: 361 year: 2014 end-page: 367 ident: bib0033 article-title: Shape gradient for isogeometric structural design publication-title: J Optim Theory Appl – volume: 73 start-page: 1571 year: 2008 end-page: 1606 ident: bib0048 article-title: Optimization of an acoustic horn with respect to efficiency and directivity publication-title: IJNME – volume: 194 start-page: 4135 issue: 39 year: 2005 ident: 10.1016/j.enganabound.2019.12.012_bib0009 article-title: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement publication-title: CMAME – volume: 88 start-page: 613 issue: 7 year: 2011 ident: 10.1016/j.enganabound.2019.12.012_bib0035 article-title: Shape optimization of shell structures based on NURBS description using automatic differentiation publication-title: Int J Numer Method Eng doi: 10.1002/nme.3183 – volume: 139 start-page: 289 issue: 1 year: 1996 ident: 10.1016/j.enganabound.2019.12.012_bib0023 article-title: The partition of unity finite element method: basic theory and applications publication-title: Comput Method Appl Mech Eng doi: 10.1016/S0045-7825(96)01087-0 – volume: 20 start-page: 2075 issue: 11 year: 2010 ident: 10.1016/j.enganabound.2019.12.012_bib0012 article-title: Isogeometric collocation methods publication-title: Math Model Methods Appl Sci doi: 10.1142/S0218202510004878 – volume: 336 start-page: 507 year: 2018 ident: 10.1016/j.enganabound.2019.12.012_bib0022 article-title: An isogeometric approach of two dimensional acoustic design sensitivity analysis and topology optimization analysis for absorbing material distribution publication-title: CMAME – volume: 70 start-page: 76 issue: 4 year: 2008 ident: 10.1016/j.enganabound.2019.12.012_bib0050 article-title: Polynomial splines over hierarchical T-meshes publication-title: Graph Models doi: 10.1016/j.gmod.2008.03.001 – volume: 59(3) start-page: 604 year: 1992 ident: 10.1016/j.enganabound.2019.12.012_bib0043 article-title: A general algorithm for the numerical solution of hypersingular boundary integral equations publication-title: J Appl Mech ASME – volume: 315 start-page: 418 year: 2017 ident: 10.1016/j.enganabound.2019.12.012_bib0018 article-title: Isogeometric boundary element analysis with elasto-plastic inclusions. part 2: 3-d problems publication-title: Comput Method Appl Mech Eng doi: 10.1016/j.cma.2016.11.007 – volume: 259 start-page: 93 year: 2013 ident: 10.1016/j.enganabound.2019.12.012_bib0020 article-title: Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems publication-title: CMAME – volume: 1 year: 2002 ident: 10.1016/j.enganabound.2019.12.012_bib0008 article-title: The boundary element method: Applications in thermo-fluids and acoustics publication-title: John Wiley & Sons – volume: 340 start-page: 600 year: 2018 ident: 10.1016/j.enganabound.2019.12.012_bib0041 article-title: Shape optimization of conductive-media interfaces using an IGA-BEM solver publication-title: Comput Method Appl Mech Eng doi: 10.1016/j.cma.2018.06.019 – volume: 88 start-page: 26 year: 2018 ident: 10.1016/j.enganabound.2019.12.012_bib0030 article-title: Structural shape optimization by IGABEM and particle swarm optimization algorithm publication-title: EABE – volume: 204 start-page: 55 issue: 1 year: 2017 ident: 10.1016/j.enganabound.2019.12.012_bib0016 article-title: Linear elastic fracture simulation directly from cad: 2D nurbs-based implementation and role of tip enrichment publication-title: Int J Fract doi: 10.1007/s10704-016-0153-3 – volume: 82 start-page: 79 year: 2017 ident: 10.1016/j.enganabound.2019.12.012_bib0037 article-title: Shape-optimization of 2D hydrofoils using an isogeometric BEM solver publication-title: Comput-Aided Des doi: 10.1016/j.cad.2016.07.002 – volume: 73 start-page: 1571 issue: 11 year: 2008 ident: 10.1016/j.enganabound.2019.12.012_bib0048 article-title: Optimization of an acoustic horn with respect to efficiency and directivity publication-title: IJNME doi: 10.1002/nme.2132 – volume: 161 start-page: 361 issue: 2 year: 2014 ident: 10.1016/j.enganabound.2019.12.012_bib0033 article-title: Shape gradient for isogeometric structural design publication-title: J Optim Theory Appl doi: 10.1007/s10957-013-0435-0 – volume: 316 start-page: 151 year: 2017 ident: 10.1016/j.enganabound.2019.12.012_bib0017 article-title: Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth publication-title: Comput Method Appl Mech Eng doi: 10.1016/j.cma.2016.05.038 – volume: 69 start-page: 371 issue: 2 year: 1981 ident: 10.1016/j.enganabound.2019.12.012_bib0001 article-title: Scattering of plane waves by a penetrable elliptic cylinder publication-title: JASA doi: 10.1121/1.385463 – volume: 82 start-page: 858 issue: 12 year: 2016 ident: 10.1016/j.enganabound.2019.12.012_bib0027 article-title: Structural acoustic sensitivity analysis of radiated sound power using a finite element/ discontinuous fast multipole boundary element scheme publication-title: IJNMF – volume: 90 start-page: 561 issue: 1 year: 1991 ident: 10.1016/j.enganabound.2019.12.012_bib0025 article-title: A boundary element formulation for acoustic shape sensitivity analysis publication-title: J Acoust Soc Am doi: 10.1121/1.401284 – volume: 199 start-page: 229 issue: 5 year: 2010 ident: 10.1016/j.enganabound.2019.12.012_bib0011 article-title: Isogeometric analysis using T-splines publication-title: CMAME – volume: 4 start-page: 1942 year: 1995 ident: 10.1016/j.enganabound.2019.12.012_bib0028 article-title: Particle swarm optimization – volume: 65 start-page: 125 issue: 2 year: 2004 ident: 10.1016/j.enganabound.2019.12.012_bib0046 article-title: Performance of noise barriers with various edge shapes and acoustical conditions publication-title: Appl Acoustic doi: 10.1016/j.apacoust.2003.08.006 – volume: 47 start-page: 1169 issue: 6 year: 2000 ident: 10.1016/j.enganabound.2019.12.012_bib0007 article-title: One-dimensional dispersion analysis for the element-free Galerkin method for the helmholtz equation publication-title: IJNME doi: 10.1002/(SICI)1097-0207(20000228)47:6<1169::AID-NME824>3.0.CO;2-9 – volume: 518 start-page: 95 year: 2012 ident: 10.1016/j.enganabound.2019.12.012_bib0003 article-title: Development, validation and comparison of higher order finite element approaches to compute the propagation of Lamb waves efficiently publication-title: Key Eng. Mater. doi: 10.4028/www.scientific.net/KEM.518.95 – volume: 89 start-page: 62 year: 2015 ident: 10.1016/j.enganabound.2019.12.012_bib0031 article-title: Some applications of the PSO for optimization of acoustic filters publication-title: Appl Acoust doi: 10.1016/j.apacoust.2014.09.007 – volume: 54 start-page: 871 issue: 4 year: 2016 ident: 10.1016/j.enganabound.2019.12.012_bib0034 article-title: Accurate analysis and thickness optimization of tailor rolled blanks based on isogeometric analysis publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-016-1448-8 – volume: 77 start-page: 2369 issue: 9 year: 2019 ident: 10.1016/j.enganabound.2019.12.012_bib0014 article-title: h- and p-adaptivity driven by recovery and residual-based error estimators for pht-splines applied to time-harmonic acoustics publication-title: Comput Math Appl doi: 10.1016/j.camwa.2018.12.026 – volume: 82 start-page: 172 issue: 1 year: 1989 ident: 10.1016/j.enganabound.2019.12.012_bib0042 article-title: Exact non-reflecting boundary conditions publication-title: J Comput Phys doi: 10.1016/0021-9991(89)90041-7 – volume: 25 start-page: 35 issue: 1 year: 2009 ident: 10.1016/j.enganabound.2019.12.012_bib0045 article-title: Comparison of two wave element methods for the Helmholtz problem publication-title: Commun Numer Method Eng doi: 10.1002/cnm.1102 – volume: 74 start-page: 356 issue: 3 year: 2013 ident: 10.1016/j.enganabound.2019.12.012_bib0047 article-title: Acoustic horns optimization using finite elements and genetic algorithm publication-title: Appl Acoust doi: 10.1016/j.apacoust.2012.09.007 – volume: 68 start-page: 686 issue: 2 year: 1980 ident: 10.1016/j.enganabound.2019.12.012_bib0002 article-title: Acoustic wave scattering by a finite elastic cylinder in water publication-title: JASA doi: 10.1121/1.384727 – volume: 261 start-page: 839 issue: 5 year: 2003 ident: 10.1016/j.enganabound.2019.12.012_bib0024 article-title: Plane wave interpolation in direct collocation boundary element method for radiation and wave scattering: numerical aspects and applications publication-title: J Sound Vibrat doi: 10.1016/S0022-460X(02)01006-4 – volume: 12 start-page: 868 year: 2013 ident: 10.1016/j.enganabound.2019.12.012_bib0040 article-title: Parallelizing fast multipole method for large-scale electromagnetic problems using GPU clusters publication-title: IEEE Antennas Wirel Propagat Lett doi: 10.1109/LAWP.2013.2271743 – volume: 269 start-page: 471 year: 2014 ident: 10.1016/j.enganabound.2019.12.012_bib0049 article-title: Isogeometric analysis using LR B-splines publication-title: Comput Method Appl Mech Eng doi: 10.1016/j.cma.2013.09.014 – volume: 48 start-page: 965 issue: 5 year: 2013 ident: 10.1016/j.enganabound.2019.12.012_bib0038 article-title: Shape optimization of the stokes flow problem based on isogeometric analysis publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-013-0939-0 – volume: 203 start-page: 43 year: 2018 ident: 10.1016/j.enganabound.2019.12.012_bib0013 article-title: Application of the edge-based gradient smoothing technique to acoustic radiation and acoustic scattering from rigid and elastic structures in two dimensions publication-title: Comput Struct doi: 10.1016/j.compstruc.2018.05.009 – volume: 279 start-page: 425 year: 2014 ident: 10.1016/j.enganabound.2019.12.012_bib0019 article-title: Isogeometric boundary-element analysis for the wave-resistance problem using t-splines publication-title: Comput Method Appl Mech Eng doi: 10.1016/j.cma.2014.07.001 – volume: 209-212 start-page: 87 year: 2012 ident: 10.1016/j.enganabound.2019.12.012_bib0015 article-title: A two-dimensional Isogeometric Boundary Element Method for elastostatic analysis publication-title: CMAME – volume: 48 start-page: 909 issue: 5 year: 2013 ident: 10.1016/j.enganabound.2019.12.012_bib0039 article-title: Isogeometric shape optimization in fluid mechanics publication-title: Struct Multidiscip Optim doi: 10.1007/s00158-013-0931-8 – year: 1995 ident: 10.1016/j.enganabound.2019.12.012_bib0010 article-title: The NURBS book publication-title: Springer – volume: 269 start-page: 265 year: 2014 ident: 10.1016/j.enganabound.2019.12.012_bib0021 article-title: Acoustic isogeometric boundary element analysis publication-title: Comput Method Appl Mech Eng doi: 10.1016/j.cma.2013.10.026 – volume: 24 start-page: 959 issue: 5 year: 1987 ident: 10.1016/j.enganabound.2019.12.012_bib0044 article-title: A self-adaptive co-ordinate transformation for efficient numerical evaluation of general boundary element integrals publication-title: Int J Numer Method Eng doi: 10.1002/nme.1620240509 – volume: 192 start-page: 1533 issue: 11 year: 2003 ident: 10.1016/j.enganabound.2019.12.012_bib0026 article-title: Shape optimization of an acoustic horn publication-title: Comput Method Appl Mech Eng doi: 10.1016/S0045-7825(02)00656-4 – volume: 98 start-page: 411 issue: 3 year: 1992 ident: 10.1016/j.enganabound.2019.12.012_bib0005 article-title: Galerkin/least-squares finite element methods for the reduced wave equation with non-reflecting boundary conditions in unbounded domains publication-title: CMAME – volume: 274 start-page: 148 year: 2014 ident: 10.1016/j.enganabound.2019.12.012_bib0036 article-title: Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting publication-title: Comput Method Appl Mech Eng doi: 10.1016/j.cma.2014.02.001 – volume: 43 start-page: 1427 issue: 11 year: 2011 ident: 10.1016/j.enganabound.2019.12.012_bib0032 article-title: Isogeometric analysis and shape optimization via boundary integral publication-title: Comput-Aided Des doi: 10.1016/j.cad.2011.08.031 – start-page: 39 year: 1995 ident: 10.1016/j.enganabound.2019.12.012_bib0029 article-title: A new optimizer using particle swarm theory – volume: 195 start-page: 4711 issue: 37 year: 2006 ident: 10.1016/j.enganabound.2019.12.012_bib0006 article-title: The generalized finite element method for Helmholtz equation: theory, computation, and open problems publication-title: CMAME – volume: 67 start-page: 1 issue: 1 year: 2015 ident: 10.1016/j.enganabound.2019.12.012_bib0004 article-title: Simulation methods for guided-wave based structural health monitoring: a review publication-title: Appl. Mech. Rev. doi: 10.1115/1.4029539 |
| SSID | ssj0013006 |
| Score | 2.429619 |
| Snippet | In this paper, a new approach is developed for applications of shape optimization on the two-dimensional time harmonic wave propagation (Helmholtz equation) in... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 156 |
| SubjectTerms | Acoustics BEM Isogeometric Analysis Partition of Unity Shape Optimization |
| Title | Shape optimization by conventional and extended isogeometric boundary element method with PSO for two-dimensional Helmholtz acoustic problems |
| URI | https://dx.doi.org/10.1016/j.enganabound.2019.12.012 |
| Volume | 113 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV3fSxwxEA6iIPZBbK3UamUKvsbbxM3uBnwRqVx7VMVT9G1JsrN60ts9dEX0wf_A_9nM_tATCi34tLBklpDJzkySL9_H2KZSibQSkWeoLCf-cq6tMdwn7yhKpIiS-vrY74Oofxr-OlfnM2yvuwtDsMo29jcxvY7W7ZteO5q9yWjUGxJ5Wqx17EsQUlshxs8wjGmWbz2K15OEoNbXpMacWs-z768YLywuTEEI4IJIQ4WudwaF_HuOmso7-0tssS0YYbfp00c2g8Un9mGKRnCZPQ0vzQSh9H__uL1WCfYepgHlYIoMug1vGN2UF1iOSUzLQd0vc30P2CDJoRGVBtqhhaPhIfiyFqq7kmckBNCQeIDPVmMfN6sH8BG1FgSDVprm5jM73f9xstfnrcwCd9tSVFy7CDOlXKIDK0yWuCgIc6mtUFkWoMsEhkbpCG1kUKI2sQ8BgfSuVbmzeRhvr7DZoizwC4PYaueXnEmceKcrzDWiCI0vGTA3_pt2lSXdwKau5SAnKYw_aQc2u0qnfJKST1IhU--TVSZfTCcNEcf_GO103kvfzKrUJ4x_m399n_kaW5C0Oq9xPutstrq-xW--hKnsRj1HN9jc7s9B_4Ceg-OzwTPaUPjx |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Na9wwEB3SDfTjEPpJ06btFHoVa2kt24JeQmjYNMm2sAnkJiR5nG7p2kviUpL_kP9cyZabLRRa6NV4jNCINyP56T2Ad1IWwgoiVpK0LOiXM2WNYb54Z1kheFZ018eOZ9n0NP14Js82YG-4CxNolRH7e0zv0Do-GcfZHK8Wi_E8iKflSuW-BQluK5M7sBnUqeQINncPDqez258JSWexGd5nIeAuvL2leVF9bupAAq6DbihX3eEgF38uU2ulZ_8hbMWeEXf7YT2CDaofw4M1JcEncDP_YlaEjQeAZbxZifYK1znlaOoShzNvXFw259Qsg5-Ww25c5uIKqSeTY-8rjeGQFj_PP6HvbLH90bAyeAH0Oh7oC9bSQ2d7jR5UO08wjO40l0_hdP_Dyd6URacF5iaCt0y5jEopXaESy01ZuCxJK6Esl2WZkCs5pUaqjGxmSJAyuUeBRPjsysrZKs0nz2BUNzU9B8ytcn7XWeSFz7ukShHx1PiugSrjv2m3oRgmVrsoQx7cML7pgW_2Va_lRIecaC60z8k2iF-hq16L41-C3g_Z078tLO1rxt_DX_xf-Bu4Nz05PtJHB7PDl3BfhM16R_vZgVF78Z1e-Y6mta_jiv0JgYv5_w |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Shape+optimization+by+conventional+and+extended+isogeometric+boundary+element+method+with+PSO+for+two-dimensional+Helmholtz+acoustic+problems&rft.jtitle=Engineering+analysis+with+boundary+elements&rft.au=Mostafa+Shaaban%2C+Ahmed&rft.au=Anitescu%2C+Cosmin&rft.au=Atroshchenko%2C+Elena&rft.au=Rabczuk%2C+Timon&rft.date=2020-04-01&rft.pub=Elsevier+Ltd&rft.issn=0955-7997&rft.eissn=1873-197X&rft.volume=113&rft.spage=156&rft.epage=169&rft_id=info:doi/10.1016%2Fj.enganabound.2019.12.012&rft.externalDocID=S0955799719306733 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0955-7997&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0955-7997&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0955-7997&client=summon |