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
收藏
页码：38 / 57
页数：20
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