Regularization of nearly singular integrals in the boundary element analysis for interior anisotropic thermal field near the boundary
In this paper the previously developed scheme of integration by parts to treat the boundary thermal field is applied to calculate the interior thermal field. Also, the scheme is extended further to regularize the strongly singular integral appearing in the boundary integral equation for interior cal...
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| Published in | Journal of the Chinese Institute of Engineers Vol. 30; no. 2; pp. 219 - 230 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.03.2007
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0253-3839 2158-7299 |
| DOI | 10.1080/02533839.2007.9671248 |
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| Abstract | In this paper the previously developed scheme of integration by parts to treat the boundary thermal field is applied to calculate the interior thermal field. Also, the scheme is extended further to regularize the strongly singular integral appearing in the boundary integral equation for interior calculations of the heat fluxes. Moreover, the present work develops a semi-analytical integration scheme to regularize the hyper-singular integral for the interior heat-flux calculations. All formulations are derived for elements of arbitrary orders with general interpolation. At the end, the veracity of the scheme is illustrated by numerical examples. |
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| AbstractList | In this paper the previously developed scheme of integration by parts to treat the boundary thermal field is applied to calculate the interior thermal field. Also, the scheme is extended further to regularize the strongly singular integral appearing in the boundary integral equation for interior calculations of the heat fluxes. Moreover, the present work develops a semi-analytical integration scheme to regularize the hyper-singular integral for the interior heat-flux calculations. All formulations are derived for elements of arbitrary orders with general interpolation. At the end, the veracity of the scheme is illustrated by numerical examples. |
| Author | Shiah, Yui-Chuin Shih, Yi-Shiau |
| Author_xml | – sequence: 1 givenname: Yui-Chuin surname: Shiah fullname: Shiah, Yui-Chuin organization: Department of Aerospace and Systems Engineering , Feng Chia University – sequence: 2 givenname: Yi-Shiau surname: Shih fullname: Shih, Yi-Shiau organization: Department of Aerospace and Systems Engineering , Feng Chia University |
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| Cites_doi | 10.1115/1.3111062 10.1016/S0955-7997(01)00069-8 10.1115/1.3423657 10.1002/nme.1620370108 10.1007/BF02438109 10.1016/S0307-904X(01)00021-X 10.1016/j.enganabound.2005.08.013 10.1002/nme.1620361509 10.1016/0965-9978(94)90019-1 10.1016/S0955-7997(97)00103-3 10.1115/1.3098922 10.1002/(SICI)1097-0207(19980215)41:3<541::AID-NME298>3.0.CO;2-K 10.1016/0017-9310(77)90186-7 10.1002/nme.1620350902 10.1115/1.3450637 10.1115/1.2165239 10.1002/nme.1620360205 |
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| References | CIT0021 CIT0020 CIT0001 Kisu H. (CIT0010) 1988; 1 CIT0011 CIT0022 Igarashi H. (CIT0009) 1993 Shiah Y. C. (CIT0019) 2005 CIT0003 CIT0014 CIT0002 CIT0013 CIT0005 CIT0016 CIT0004 CIT0015 CIT0007 CIT0018 CIT0006 CIT0017 CIT0008 Liu Y. J. (CIT0012) 1993 |
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| Snippet | In this paper the previously developed scheme of integration by parts to treat the boundary thermal field is applied to calculate the interior thermal field.... |
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| SubjectTerms | anisotropic thermal field interior thermal fields nearly singular integrals |
| Title | Regularization of nearly singular integrals in the boundary element analysis for interior anisotropic thermal field near the boundary |
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