A high order mixed vector finite element method for solving the time dependent Maxwell equations on unstructured grids

被引：49
|
作者：
Rieben, RN
Rodrigue, GH
White, DA
机构：
[1] Lawrence Livermore Natl Lab, Defense Sci Engn Div, Livermore, CA 94551 USA
[2] Univ Calif Davis, Dept Appl Sci, Davis, CA USA
[3] Lawrence Livermore Natl Lab, Inst Sci Comp Res, Livermore, CA 94551 USA
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2005年 / 204卷 / 02期
关键词：
computational electromagnetics; Maxwell's equations; vector finite elements; high order methods; H(Curl) and H(Div) -conforming methods; discrete differential forms; spurious modes; numerical dispersion;
D O I：
10.1016/j.jcp.2004.10.030
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
We present a mixed vector finite element method for solving the time dependent coupled Ampere and Faraday laws of Maxwell's equations on unstructured hexahedral grids that employs high order discretization in both space and time. The method is of arbitrary order accuracy in space and up to 4th order accurate in time, making it well suited for electrically large problems where grid anisotropy and numerical dispersion have plagued other methods. In addition, the method correctly models both the jump discontinuities and the divergence-free properties of the electric and magnetic fields, is charge and energy conserving, conditionally stable, and free of spurious modes. Several computational experiments are performed to demonstrate the accuracy, efficiency and benefits of the method. (c) 2004 Elsevier Inc. All rights reserved.
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页码：490 / 519
页数：30
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