Solving Maxwell equations in 3D prismatic domains
type: Item
instance of: scholarly article
title: Solving Maxwell equations in 3D prismatic domains
zbMATH Open document ID: 1068.78001
author: Emmanuelle Garcia
author: Jun Zou
author: Patrick jun. Ciarlet
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2005-02-22T00:00:00Z
review text: The authors extend their previous work on the singular complement method in two-dimensional problems to the initial-value problem where the initial values of electric and magnetic fields in the neighborhood of a perfectly conducting body, locally of prismatic shape are given. The computational domain is taken to be made up of live parts, are having a perfectly conducting boundary, and the other bears an artificial boundary, allowing re-entrant portions. Variational formulations are developed for the electric field and it is pointed out that similar formulations exist for the magnetic field. Fourier expansions suitable for the fields are produced which, it is suggested, will converge to the solution. The analysis in English is summarized in an abbreviated version in French without any analysis. There are not however any examples of the applicability of the theory.
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 49S05
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 2136376
zbMATH Keywords: Maxwell equations
zbMATH Keywords: 3D prismatic domains
zbMATH Keywords: singular complement method
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
full work available at URL: j.crma.2004.09.032
OpenAlex ID: W1977519613
cites work: Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel
cites work: Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
cites work: On a finite-element method for solving the three-dimensional Maxwell equations
cites work: Spectral element discretization of the Maxwell equations
cites work: Maxwell operator in regions with nonsmooth boundaries
cites work: Augmented formulations for solving Maxwell equations
cites work: The Fourier singular complement method for the Poisson problem. I: Prismatic domains
cites work: Space-time regularity of the solution to Maxwell's equations in non-convex domains
cites work: A Singular Field Method for Maxwell's Equations: Numerical Aspects for 2D Magnetostatics
cites work: Nodal finite element methods for Maxwell's equations
DOI: 10.1016/J.CRMA.2004.09.032
description: scientific article; zbMATH DE number 2136376