An adaptive local discrete convolution method for the numerical solution of Maxwell's equations
Numerical Analysis
2019-07-24 v1
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.
Cite
@article{arxiv.1804.10972,
title = {An adaptive local discrete convolution method for the numerical solution of Maxwell's equations},
author = {Boris Lo and Phillip Colella},
journal= {arXiv preprint arXiv:1804.10972},
year = {2019}
}