A quasi-optimal domain decomposition algorithm for the time-harmonic Maxwell's equations

被引：25

作者：

El Bouajaji, M. ^{[1
]}

Thierry, B. ^{[2
,3
]}

Antoine, X. ^{[1
]}

Geuzaine, C. ^{[2
]}

机构：

[1] Univ Lorraine, Inst Elie Cartan de Lorraine, CNRS UMR 7502, INRIA CORIDA Team, F-54506 Vandoeuvre Les Nancy, France

[2] Univ Liege, Inst Montefiore B28, B-4000 Liege, Belgium

[3] Univ Paris 06, LJLL, Paris, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2015年 / 294卷

关键词：

Maxwell's equation; Electromagnetism; Domain decomposition methods; Finite elements; Pade approximants; OPTIMIZED SCHWARZ METHODS; TRANSMISSION CONDITIONS;

D O I：

10.1016/j.jcp.2015.03.041

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

This paper presents a new non-overlapping domain decomposition method for the time harmonic Maxwell's equations, whose effective convergence is quasi-optimal. These improved properties result from a combination of an appropriate choice of transmission conditions and a suitable approximation of the Magnetic-to-Electric operator. A convergence theorem of the algorithm is established and numerical results validating the new approach are presented. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：38 / 57

页数：20

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