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arXiv · 1804.10972

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

Boris Lo·Phillip Colella
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Abstract

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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Boris Lo, Phillip Colella. 2018-04-29. An adaptive local discrete convolution method for the numerical solution of Maxwell's equations. https://doi.org/10.2140/camcos.2019.14.105

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