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A gentle introduction to the boundary element method in Matlab/Freemat

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Kirkup, S M ORCID: 0000-0002-9680-7778 and Yazdani, J ORCID: 0000-0001-5273-0951 (2008) A gentle introduction to the boundary element method in Matlab/Freemat. In: Mathematical Methods, Computational Techniques, Non-Linear Systems, Intelligent Systems. Mathematics and Computers in Science and Engineering . WSEAS Press, Corfu, Greece, pp. 46-52. ISBN 9789604740123

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Official URL: http://www.wseas.org/multimedia/books/2008/corfu/m...

Abstract

The Boundary Element Method is developed in its most simple form; for the solution of Laplace’s equation in an interior domain with a straight line approximation to the boundary. The direct and indirect approaches to the boundary element method are included. The methods are developed in Freemat, a language similar to Matlab. The codes for the solution of Laplace’s equation in a general domain with a general (Robin) boundary condition are developed. The codes are applied to a typical test problem. The codes are made available as open source (BEMLAP-MAT package) and can be downloaded from this paper or from the websites listed below2. The overall package is expected to become a teaching aid in the MSc course3 that is presently being developed by the authors.

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