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A sweeping preconditioner for Yee's finite difference approximation of time-harmonic Maxwell's equations

A sweeping preconditioner for Yee's finite difference approximation of time-harmonic Maxwell's equations
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摘要 这份报纸涉及在 electromagnetics 从有限差别 discretizations 产生的线性系统的快反复的解决方案。有以前为 Helmholtz 方程开发的动人的完美地匹配的层的大规模 preconditioner 在不同类的、各向异性的媒介为波浪繁殖为流行 Yee 格子计划被改编。初步的数字结果为典型例子被介绍。 This paper is concerned with the fast iterative solution of linear systems arising from finite difference discretizations in electromagnetics. The sweeping preconditioner with moving perfectly matched layers previously developed for the Helmholtz equation is adapted for the popular Yee grid scheme for wave propagation in inhomogeneous, anisotropic media. Preliminary numerical results are presented for typical examples.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2012年第2期347-363,共17页 中国高等学校学术文摘·数学(英文)
关键词 麦克斯韦方程组 预条件 差分近似 间谐波 亥姆霍兹方程 各向异性介质 完全匹配层 线性系统 Electromagnetic scattering, Yee grid, finite difference methods, perfectly matched layers, LDLT factorizations, multifrontal method, wave propagation in inhomogeneous and anisotropic media, matrix preconditioners
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参考文献11

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