A SECOND ORDER DISCRETIZATION OF MAXWELL'S EQUATIONS IN THE QUASI-STATIC REGIME ON OCTREE GRIDS

被引：39

作者：

Horesh, Lior ^{[1
]}

Haber, Eldad ^{[2
]}

机构：

[1] IBM TJ Watson Res Ctr, Yorktown Hts, NY 10598 USA

[2] Univ British Columbia, Vancouver, BC V6T 1Z2, Canada

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2011年 / 33卷 / 05期

基金：

加拿大自然科学与工程研究理事会; 美国国家科学基金会;

关键词：

OcTree; adaptive mesh refinement; second order; Maxwell solver; multigrid; adjoint curl; quasi-static; HIGHLY DISCONTINUOUS COEFFICIENTS; 3D ELECTROMAGNETIC PROBLEMS; BOUNDARY-VALUE-PROBLEMS; SUBGRIDDING SCHEME; NUMERICAL-SOLUTION; ELLIPTIC PROBLEMS; MULTIGRID METHOD; UP CONSTRUCTION; FINITE; SIMULATION;

D O I：

10.1137/100798508

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this study we consider adaptive mesh refinement for the solution of Maxwell's equations in the quasi-static or diffusion regime. We propose a new finite volume OcTree discretization for the problem and show how to construct second order stencils on Yee grids, extending the known first order discretization stencils. We then develop an effective preconditioner to the problem. We show that our preconditioner performs well for discontinuous conductivities as well as for a wide range of frequencies.

引用

页码：2805 / 2822

页数：18

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