Development and implementation of some BEM variants—a critical review
Due to rapid development of boundary element method (BEM), this article explores the evolution of BEM over the past half century. We here summarize the overall development and implementation of several well-known BEM variants that includes collocation BEM, galerkin BEM, dual reciprocity BEM, complex...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/13987/ http://psasir.upm.edu.my/id/eprint/13987/1/Development%20and%20implementation%20of%20some%20BEM%20variants%E2%80%94a%20critical%20review.pdf |
| _version_ | 1848842267794604032 |
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| author | Yu, Kok Hwa Kadarman, A. Halim Djojodihardjo, Harijono |
| author_facet | Yu, Kok Hwa Kadarman, A. Halim Djojodihardjo, Harijono |
| author_sort | Yu, Kok Hwa |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Due to rapid development of boundary element method (BEM), this article explores the evolution of BEM over the past half century. We here summarize the overall development and implementation of several well-known BEM variants that includes collocation BEM, galerkin BEM, dual reciprocity BEM, complex variable BEM and analog equation method. Their theoretical and mathematical backgrounds are carefully described and a generalized Laplace’s equation (and Poisson’s equation) is utilized in demonstrating the different approaches involved. An up-to-date review on characteristics and implementation for each of the five variants is presented and also highlighted their significant contributions in boundary element research. In addition, this article tries to cover whole aspect of interests including efficiency, applicability and accuracy in order to give better understanding of BEM evolution. Comparisons and techniques of improvement for these variants are also discussed. |
| first_indexed | 2025-11-15T07:56:25Z |
| format | Article |
| id | upm-13987 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T07:56:25Z |
| publishDate | 2010 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-139872018-09-04T04:32:03Z http://psasir.upm.edu.my/id/eprint/13987/ Development and implementation of some BEM variants—a critical review Yu, Kok Hwa Kadarman, A. Halim Djojodihardjo, Harijono Due to rapid development of boundary element method (BEM), this article explores the evolution of BEM over the past half century. We here summarize the overall development and implementation of several well-known BEM variants that includes collocation BEM, galerkin BEM, dual reciprocity BEM, complex variable BEM and analog equation method. Their theoretical and mathematical backgrounds are carefully described and a generalized Laplace’s equation (and Poisson’s equation) is utilized in demonstrating the different approaches involved. An up-to-date review on characteristics and implementation for each of the five variants is presented and also highlighted their significant contributions in boundary element research. In addition, this article tries to cover whole aspect of interests including efficiency, applicability and accuracy in order to give better understanding of BEM evolution. Comparisons and techniques of improvement for these variants are also discussed. Elsevier 2010 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/13987/1/Development%20and%20implementation%20of%20some%20BEM%20variants%E2%80%94a%20critical%20review.pdf Yu, Kok Hwa and Kadarman, A. Halim and Djojodihardjo, Harijono (2010) Development and implementation of some BEM variants—a critical review. Engineering Analysis with Boundary Elements, 34 (10). pp. 884-899. ISSN 0955-7997; ESSN: 1873-197X https://www.sciencedirect.com/science/article/pii/S0955799710001037#! 10.1016/j.enganabound.2010.05.001 |
| spellingShingle | Yu, Kok Hwa Kadarman, A. Halim Djojodihardjo, Harijono Development and implementation of some BEM variants—a critical review |
| title | Development and implementation of some BEM variants—a critical review |
| title_full | Development and implementation of some BEM variants—a critical review |
| title_fullStr | Development and implementation of some BEM variants—a critical review |
| title_full_unstemmed | Development and implementation of some BEM variants—a critical review |
| title_short | Development and implementation of some BEM variants—a critical review |
| title_sort | development and implementation of some bem variants—a critical review |
| url | http://psasir.upm.edu.my/id/eprint/13987/ http://psasir.upm.edu.my/id/eprint/13987/ http://psasir.upm.edu.my/id/eprint/13987/ http://psasir.upm.edu.my/id/eprint/13987/1/Development%20and%20implementation%20of%20some%20BEM%20variants%E2%80%94a%20critical%20review.pdf |