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

Taeyoung Ha1, Sangwon Seo2, Dongwoo Sheen3
Department of Mathematics, Seoul National University, Seoul 151–747, Korea; E-mail: tyha@snu.ac.kr; http://www.nasc.snu.ac.kr/tyha;
E-mail: seo@nasc.snu.ac.kr;
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.

Keywords

Nonoverlapping domain decomposition, Maxwell's equations, Transmission condition, Parallel iterative algorithm

Cite This Article

Ha, T., Seo, S., Sheen, D. (2006). Parallel iterative procedures for a computational electromagnetic modeling based on a nonconforming mixed finite element method. CMES-Computer Modeling in Engineering & Sciences, 14(1), 57–76.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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