2004•COMPEL The International Journal for Computation and Mathematics in Electrical and Electronic EngineeringRequires access

Fast and efficient 3D boundary element method for closed domains

A. Buchau, W. Hafla, W.M. Rucker

Open publisher page 10 citations

Abstract

An application of a boundary element method to the solution of static field problems in closed domains is presented in this paper. The fully populated system matrix of the boundary element method is compressed with the fast multipole method. Two approaches of modified transformation techniques are compared and discussed in the context of boundary element methods to further reduce the computational costs of the fast multipole method. The efficiency of the fast multipole method with modified transformations is shown in two numerical examples.

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Key concepts: Boundary element method, Multipole expansion, Fast multipole method, Boundary knot method, Singular boundary method, Boundary (topology), Transformation (genetics), Method of fundamental solutions