FAST DOMAIN DECOMPOSITION METHODS OF FE-BI-MLFMA FOR 3D SCATTERING/RADIATION PROBLEMS (Invited Paper) | Zendy

MingLin Yang | Zendy; Hong-Wei Gao | Zendy; Xumin Sun | Zendy; XinQing Sheng | Zendy

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FAST DOMAIN DECOMPOSITION METHODS OF FE-BI-MLFMA FOR 3D SCATTERING/RADIATION PROBLEMS (Invited Paper)

Author(s) -

MingLin Yang,

Hong-Wei Gao,

Xumin Sun,

XinQing Sheng

Publication year - 2016

Publication title -

electromagnetic waves

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.437

H-Index - 89

eISSN - 1559-8985

pISSN - 1070-4698

DOI - 10.2528/pier15102802

Subject(s) - decomposition , domain decomposition methods , scattering , radiation , domain (mathematical analysis) , physics , mathematics , optics , chemistry , mathematical analysis , organic chemistry , finite element method , thermodynamics

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.

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