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Large-Scale Full Wave Analysis of Electromagnetic Field by Hierarchical Domain Decomposition Method

A. Takei1, S. Yoshimura1, H. Kanayama2
The University of Tokyo, Bunkyo-ku, Tokyo, Japan
Kyushu University, Nishi-ku, Fukuoka, Japan

Computer Modeling in Engineering & Sciences 2009, 40(1), 63-82. https://doi.org/10.3970/cmes.2009.040.063

Abstract

This paper describes a large-scale finite element analysis (FEA) for a high-frequency electromagnetic field of Maxwell equations including the displacement current. A stationary Helmholtz equation for the high-frequency electromagnetic field analysis is solved by considering an electric field and an electric scalar potential as unknown functions. To speed up the analysis, the hierarchical domain decomposition method (HDDM) is employed as a parallel solver. In this study, the Parent-Only type (Parallel processor mode: P-mode) of the HDDM is employed. In the P-mode, Parent processors perform the entire FEA. In this mode, all CPUs can be used without idling in an environment of 10-20 CPUs. A whole body cavity resonator (TEAM Workshop problem 29) and a real-world commuter train model with 12.8 million degrees-of-freedom are solved to verify accuracy and performance of the developed method.

Keywords

High-frequency electromagnetic field, Helmholtz equations, Finite element method, Hierarchical domain decomposition method

Cite This Article

Takei, A., Yoshimura, S., Kanayama, H. (2009). Large-Scale Full Wave Analysis of Electromagnetic Field by Hierarchical Domain Decomposition Method. CMES-Computer Modeling in Engineering & Sciences, 40(1), 63–82.



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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