An adaptive multilevel method for time-harmonic Maxwell equations with singularities

被引：59

作者：

Chen, Zhiming ^{[1
]}

Wang, Long ^{[1
]}

Zheng, Weiying ^{[1
]}

机构：

[1] Chinese Acad Sci, LSEC, Inst Computat Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2007年 / 29卷 / 01期

关键词：

Maxwell equations; singularities of solutions; adaptive finite element method; multigrid method;

D O I：

10.1137/050636012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop an adaptive edge finite element method based on reliable and efficient residual-based a posteriori error estimates for low-frequency time-harmonic Maxwell equations with singularities. The resulting discrete problem is solved by the multigrid preconditioned MINRES (minimum residual) iteration algorithm. We demonstrate the efficiency and robustness of the proposed method by extensive numerical experiments for cavity problems with singular solutions which include, in particular, scattering over screens.

引用

页码：118 / 138

页数：21

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