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Development and implementation of some BEM variants—a critical review


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


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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Engineering
DOI Number: https://doi.org/10.1016/j.enganabound.2010.05.001
Publisher: Elsevier
Keywords: Boundary element method (BEM); Collocation BEM; Galerkin BEM; Dual reciprocity BEM; Complex variable BEM; Analog equation method; BEM development; Review
Depositing User: Nabilah Mustapa
Date Deposited: 04 Sep 2018 04:32
Last Modified: 04 Sep 2018 04:32
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1016/j.enganabound.2010.05.001
URI: http://psasir.upm.edu.my/id/eprint/13987
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