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.
Citation
Boris Lo. Phillip Colella. "An adaptive local discrete convolution method for the numerical solution of Maxwell's equations." Commun. Appl. Math. Comput. Sci. 14 (1) 105 - 119, 2019. https://doi.org/10.2140/camcos.2019.14.105
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