Work

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

Year: 2019

Type: article

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.

Source: Communications in Applied Mathematics and Computational Science

DOI: 10.2140/camcos.2019.14.105

Authors: Boris Lo, Phillip Colella

Institutions: Lawrence Berkeley National Laboratory, University of California, Berkeley

Language: English

Topic: Electromagnetic Simulation and Numerical Methods

Subfield: Electrical and Electronic Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

Funders: U.S. Department of Energy, National Energy Research Scientific Computing Center, Office of Science, Advanced Scientific Computing Research