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An adaptive local
discrete convolution method for the numerical solution of
Maxwell's equations
Boris Lo and Phillip Colella |
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Vol. 14 (2019), No. 1, 105–119
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Abstract |
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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. |
Keywords
electromagnetics, Green's function, propagator method,
adaptive mesh refinement
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Mathematical Subject Classification 2010
Primary: 65M55, 65M80
Secondary: 78-04
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Milestones
Received: 29 April 2018
Revised: 4 February 2019
Accepted: 25 March 2019
Published: 26 April 2019
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Authors |
| Boris Lo | |
| Applied Science and Technology University of California, Berkeley Berkeley, CA United States |
Lawrence Berkeley National
Laboratory Berkeley, CA United States |
| Phillip Colella | |
| Applied Numerical Algorithms
Group Computational Research Division Lawrence Berkeley National Laboratory Berkeley, CA United States |
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