Fast BEM for Eddy-Current Problems Using H-Matrices and Adaptive Cross Approximation

摘要

This paper presents numerical experiments in applying a new technique for matrix compression and preconditioning to boundary element method (BEM)-based eddy-current analysis. Following these procedures, the classical problems of BEM approaches for eddy-currents analysis in industrial applications, such as large memory requirements and solver instability (ill-conditioning), are significantly reduced. The algorithm, based on hierarchical matrix arithmetic and adaptive cross approximation techniques, efficiently compresses the BEM matrix and produces a very important additional feature—a cheap and effective matrix preconditioner. The efficiency of this new technique is tested on various numerical examples and compared with other similar existing techniques (fast multipoles method).