Introduction to the Boundary Element Method
The boundary element method was developed at the University of Southampton by combining the methodology of the finite element method with the boundary integral method. The first international conference devoted to the boundary element method took place in 1978 at Southampton . Since that time, many books have been published (, , ,) and the numerous contributions to the annual conferences like BEM and BETECH show the rapid development of the new method for all the engineering fields. In this chapter, the weighed residual method will be used to develop the boundary element method for the case of anisotropic Laplace problems. The weighed residual method is the most general technique, because it can also be applied to develop the finite difference method and the finite element method for instance.
KeywordsFinite Element Method Weighting Function Boundary Element Method Laplace Equation Collocation Point
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