An iterative CVBEM solution of nonlinear heat transfer problems

Kassab, Alain J.; Chesla, Scott

doi:10.1016/0955-7997(93)90080-5

Cited by 2 publications

(1 citation statement)

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“…To date, the CVBEM which can be applied to mixed boundary value problems (Dirichlet, Neumann or Robin) has been successfully implemented in potential problems including ideal fluid flow (for instance: air flows [82,157,230], groundwater flows [218], hydrodynamics [200], etc. ), heat transfer [119], torsion analysis [43,62], crack problems [11,57,202], etc. Although regarded as specialized method devoted for the Laplace and Poisson equations, an attempt to use CVBEM for biharmonic problem (r 4 u ¼0) for elasticity of plane and plate was reported by Lei and Mao-Kuang [147].…”

Section: Complex Variable Boundary Element Methodsmentioning

confidence: 99%

Development and implementation of some BEM variants—A critical review

Kadarman

Djojodihardjo

2010

Engineering Analysis with Boundary Elements

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a b s t r a c tDue 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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