Space-time regularity of the solution to Maxwell's equations in non-convex domains
type: Item
instance of: scholarly article
title: Space-time regularity of the solution to Maxwell's equations in non-convex domains
zbMATH Open document ID: 0997.35100
DOI: 10.1016/S1631-073X(02)02221-5
author: Emmanuelle Garcia
author: Simon Labrunie
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2002-01-01T00:00:00Z
review text: The authors develop the singular complement method in order to solve Maxwell's equations in 2D non-convex domains in absence and in presence of charges. This method is based on an orthgonal decomposition of the spaces of electric and magnetic fields. The authors present several results of space and time regularity of the solution and of its components.
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 78M25
zbMATH DE Number: 1744348
zbMATH Keywords: singular complement method
zbMATH Keywords: orthogonal decomposition
zbMATH Keywords: space and time regularity
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: non-convex domains
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
cites work: Résolution des équations de Maxwell instationnaires avec charges dans un domaine singulier bidimensionnel
cites work: Caractérisation des singularités et résolution des équations de Maxwell stationnaires en géométrie axisymétrique
cites work: Numerical solution to the time-dependent Maxwell equations in two-dimensional singular domains: The singular complement method
cites work: Q3784480
cites work: Q4023365
cites work: Q5549989
full work available at URL: s1631-073x(02)02221-5
OpenAlex ID: W2047239360
Recommended article: Q4450245
Recommended article: Quelques résultats sur la régularité en temps des équations de Maxwell instationnaires
Recommended article: Regularity theory for nonautonomous Maxwell equations with perfectly conducting boundary conditions
Recommended article: Q4359705
Recommended article: Regularity of the Maxwell equations in heterogeneous media and Lipschitz domains
Recommended article: Existence and regularity results for Maxwell's equations in the quasi-static limit
Recommended article: A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
Recommended article: Regularity of weak solutions to nonlinear Maxwell systems
Recommended article: On boundary regularity of solutions to Maxwell's equations with a homogeneous conservative boundary condition
Recommended article: Partial regularity of weak solutions to Maxwell's equations in a quasi-static electromagnetic field
description: scientific article; zbMATH DE number 1744348