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MiS Preprint

Fast Evaluation of Boundary Integral Operators arising from an Eddy Current Problem

Steffen Börm and Jörg Ostrowski


This paper deals with the ${\mathcal H}^2$-matrix approximation of matrices that arise from a Galerkin boundary element (BEM) discretization in the context of the ${\mathbf E}$-based eddy current model. The BEM operators are dense, thus need to be compressed. They are of complicated structure, i.e., some kernels and basis functions are vector valued, and test and basis functions are not always identical. The ${\mathcal H}^2$-matrix approximation technique is applied to the kernels of the four different relevant boundary integral operators. Numerical experiments demonstrate the significant acceleration of an iterative solution procedure by means of matrix compression.

MSC Codes:
78A55, 65N38, 68P05
maxwell, bem, hierarchical matrices

Related publications

2003 Repository Open Access
Steffen Börm and Jörg Ostrowski

Fast evaluation of boundary integral operators arising from an eddy current problem

In: Journal of computational physics, 193 (2003) 1, pp. 67-85