Open Access

ARTICLE

Parallel iterative procedures for a computational electromagnetic modeling based on a nonconforming mixed finite element method

by Taeyoung Ha¹, Sangwon Seo², Dongwoo Sheen³

1 Department of Mathematics, Seoul National University, Seoul 151–747, Korea; E-mail: tyha@snu.ac.kr; http://www.nasc.snu.ac.kr/tyha;
2 E-mail: seo@nasc.snu.ac.kr;
3 E-mail: sheen@snu.ac.kr; http://www.math.snu.ac.kr/˜ sheen;

Computer Modeling in Engineering & Sciences 2006, 14(1), 57-76. https://doi.org/10.3970/cmes.2006.014.057

Abstract

We present nonoverlapping domain decomposition methods for the approximation of both electromagnetic fields in a three-dimensional bounded domain satisfying absorbing boundary conditions. A Seidel-type domain decomposition iterative method is introduced based on a hybridization of a nonconforming mixed finite element method. Convergence results for the numerical procedure are proved by introducing a suitable pseudo-energy. The spectral radius of the iterative procedure is estimated and a method for choosing an optimal matching parameter is given. A red-black Seidel-type method which is readily parallelizable is also introduced and analyzed. Numerical experiments confirm that the presented algorithms are faster than the conventional Jacobi-type ones.

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Keywords

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