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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:294

Article

El Bouajaji, M.¹  Thierry, B.^2,3  Antoine, X.¹  Geuzaine, C.² 

[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

关键词: Maxwell's equation;    Electromagnetism;    Domain decomposition methods;    Finite elements;    Pade approximants;   

DOI  :  10.1016/j.jcp.2015.03.041

来源: Elsevier

【 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.

【 授权许可】

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