A Calderon multiplicative preconditioner for the electromagnetic Poincare-Steklov operator of a heterogeneous domain with scattering applications

被引：12

作者：

Dobbelaere, D. ^{[1
]}

De Zutter, D. ^{[1
]}

Van Hese, J. ^{[2
]}

Sercu, J. ^{[2
]}

Boonen, T. ^{[2
]}

Rogier, H. ^{[1
]}

机构：

[1] Univ Ghent, Dept Informat Technol, Electromagnet Grp, B-9000 Ghent, Belgium

[2] Keysight Technol Belgium NV, B-9051 Sint Denijs Westrem, Belgium

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2015年 / 303卷

关键词：

Poincare-Steklov operator; Heterogeneous domain; Calderon preconditioner; Schur complement discretization; Preconditioned hybrid formulation; Electromagnetic scattering; FIELD INTEGRAL-EQUATION; FE-BI-MLFMA; DECOMPOSITION; ALGORITHM; EFIE; FORMULATIONS; ACCURATE; ELEMENTS; MFIE;

D O I：

10.1016/j.jcp.2015.09.052

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the context of hybrid formulations, the Poincare-Steklov operator acting on traces of solutions to the vector Helmholtz equation in a heterogeneous interior domain with a smooth boundary is regularized by a well-known boundary integral operator related to the homogeneous exterior domain. For the first time, this property allows us to simultaneously construct a Calderon multiplicative preconditioner for the discretized operator and for a 3-D hybrid finite/boundary element method formulation, applicable to electromagnetic scattering problems. Numerical examples demonstrate the effectiveness of this novel preconditioning scheme, even for heterogeneous domains with non-smooth boundaries. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：355 / 371

页数：17

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