Nonlocal optimized schwarz methods for time-harmonic electromagnetics

被引：0
|
作者：
Xavier Claeys
Francis Collino
Emile Parolin
机构：
[1] Sorbonne Université-Université de Paris-CNRS-INRIA,LJLL
[2] Poems,Dipartimento di Matematica
[3] CNRS-INRIA-ENSTA Paris,undefined
[4] IP Paris,undefined
[5] Università degli Studi di Pavia,undefined
来源：
Advances in Computational Mathematics | 2022年 / 48卷
关键词：
Wave propagation problem; Electromagnetics; Domain decomposition; Optimized Schwarz method; Cross-points; 65N55; 65F10; 65N22; 35Q61;
D O I：
暂无
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学科分类号：
摘要：
We introduce a new domain decomposition strategy for time harmonic Maxwell’s equations that is valid in the case of automatically generated subdomain partitions with possible presence of cross-points. The convergence of the algorithm is guaranteed and we present a complete analysis of the matrix form of the method. The method involves transmission matrices responsible for imposing coupling between subdomains. We discuss the choice of such matrices, their construction and the impact of this choice on the convergence of the domain decomposition algorithm. Numerical results and algorithms are provided.
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