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

DOI10.2140/camcos.2019.14.105zbMath1428.65039arXiv1804.10972OpenAlexW3104402390WikidataQ127936712 ScholiaQ127936712MaRDI QIDQ2329636

Boris Lo, Phillip Colella

Publication date: 18 October 2019

Published in: Communications in Applied Mathematics and Computational Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.10972

zbMATH Keywords

Green's functionadaptive mesh refinementelectromagneticspropagator method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Basic methods for problems in optics and electromagnetic theory (78M99) Software, source code, etc. for problems pertaining to optics and electromagnetic theory (78-04) Maxwell equations (35Q61) Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

Cites Work

• High order interpolation and differentiation using B-splines
• Extrapolating B splines for interpolation
• A method for incorporating Gauss' law into electromagnetic PIC codes
• A perfectly matched layer for the absorption of electromagnetic waves
• Numerical approximations of singular source terms in differential equations
• A real-space Green's function method for the numerical solution of Maxwell's equations
• Numerical integration on the sphere
• On the approximation of singular source terms in differential equations
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

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