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2016-02-23
Fast Domain Decomposition Methods of FE-BI-MLFMA for 3D Scattering/Radiation Problems (Invited Paper)
By
Progress In Electromagnetics Research, Vol. 155, 39-52, 2016
Abstract
It has been widely verified that the hybrid finite element - boundary integral - multilevel fast multipole algorithm (FE-BI-MLFMA) is a general, efficient and accurate method for the analysis of unbounded electromagnetic problems. A variety of fast methods of FE-BI-MLFMA have been developed since 1998. In particular, the domain decomposition methods have been applied to FE-BI-MLFMA and significantly improve the efficiency of FE-BI-MLFMA in recent years. A series of fast domain decomposition methods (DDMs) of FE-BI-MLFMA have been developed. These fast DDMs can be roughly classified into two types: Schwarz DDMs and dual-primal finite element tearing and interconnecting (FETI-DP) DDMs. This paper will first give an overview of the DDMs development of FE-BI-MLFMA. Then a uniform, consistent, and efficient formulation is presented and discussed for these fast DDMs of FE-BI-MLFMA. Their computational complexities are analyzed and studied numerically.
Citation
Ming-Lin Yang, Hong-Wei Gao, Xu-Min Sun, and Xin-Qing Sheng, "Fast Domain Decomposition Methods of FE-BI-MLFMA for 3D Scattering/Radiation Problems (Invited Paper)," Progress In Electromagnetics Research, Vol. 155, 39-52, 2016.
doi:10.2528/PIER15102802
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