A WELL-CONDITIONED WEAK COUPLING OF BOUNDARY ELEMENT AND HIGH-ORDER FINITE ELEMENT METHODS FOR TIME-HARMONIC ELECTROMAGNETIC SCATTERING BY INHOMOGENEOUS OBJECTS\ast

被引：2

作者：

Badia, Ismail ^{[1
,4
]}

Caudron, Boris ^{[2
]}

Antoine, Xavier ^{[3
]}

Geuzaine, Christophe ^{[4
]}

机构：

[1] Thales Def Mission Syst France, 2 Ave Gay, F-78851 Lussac, Elancourt, France

[2] Thales Def Mission Syst France, 525 Route des Dolines, Les Bouillides, F-06903 Sophia Antipolis, France

[3] Univ Lorraine, CNRS, Inria, IECL, F-54000 Nancy, France

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

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2022年 / 44卷 / 03期

关键词：

  Maxwell' s equations; time-harmonic scattering; weak coupling; optimized domain decomposition method; high-order finite elements; boundary elements; NONOVERLAPPING DOMAIN DECOMPOSITION; OPTIMIZED SCHWARZ METHODS; MAXWELLS EQUATIONS; INTEGRAL METHODS; ALGORITHM;

D O I：

10.1137/21M1438293

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to propose efficient weak coupling formulations between the boundary element method and the high-order finite element method for solving time-harmonic electromagnetic scattering problems. The approach is based on the use of a nonoverlapping domain decomposition method involving optimal transmission operators. The associated transmission condi-tions are constructed through a localization process based on complex rational Pade'\ approximants of the nonlocal magnetic-to-electric operators. Numerical results are presented to validate and analyze the new approach for both homogeneous and inhomogeneous scatterers.

引用

页码：B640 / B667

页数：28

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