麦克斯韦方程组数值解的自适应局部离散卷积方法

IF 1.9 3区数学 Q1 MATHEMATICS, APPLIED

Communications in Applied Mathematics and Computational Science Pub Date : 2018-04-29 DOI:10.2140/camcos.2019.14.105

B. Lo, P. Colella

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引用次数: 3

摘要

本文提出了一种利用矩形网格上的紧卷积核在三维空间中求解自由空间麦克斯韦方程组的数值方法。我们首先将麦克斯韦方程组改写为带辅助变量的波动方程组，并用球均值法将其解离散化。该算法已扩展到用于矩形网格的局部细化嵌套层次。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An adaptive local discrete convolution method for the numerical solution of Maxwell’s equations

We present a numerical method for solving the free-space Maxwell's equations in three dimensions using compact convolution kernels on a rectangular grid. We first rewrite Maxwell's Equations as a system of wave equations with auxiliary variables and discretize its solution from the method of spherical means. The algorithm has been extended to be used on a locally-refined nested hierarchy of rectangular grids.

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来源期刊

Communications in Applied Mathematics and Computational Science MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： CAMCoS accepts innovative papers in all areas where mathematics and applications interact. In particular, the journal welcomes papers where an idea is followed from beginning to end — from an abstract beginning to a piece of software, or from a computational observation to a mathematical theory.