Boundary element methods for Maxwell's equations on non-smooth domains
type: Item
instance of: scholarly article
title: Boundary element methods for Maxwell's equations on non-smooth domains
zbMATH Open document ID: 1019.65094
author: Annalisa Buffa
author: Christoph Schwab
author: Martin Costabel
published in: Numerische Mathematik
publication date: 2003-03-18T00:00:00Z
full work available at URL: http://hdl.handle.net/20.500.11850/145924
review text: A boundary element method is analyzed for time-harmonic Maxwell's equations on the exterior of a Lipschitz surface in \(\mathbb{R}^3\). The Stratton-Chu representation of the electric field is used as the foundation of a weak formulation of the problem. The difficulty posed by possible irregularities at edges and corners of the boundary is handled by a special choice of mixed finite elements. A convergence theorem is proved.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 78M15
Mathematics Subject Classification ID: 78A25
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 1883920
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: boundary element method
zbMATH Keywords: non-smooth domains
zbMATH Keywords: electric field
zbMATH Keywords: mixed finite elements
zbMATH Keywords: convergence
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
OpenAlex ID: W2068674931
Wikidata QID: Q58841962
DBLP publication ID: journals/nm/BuffaCS02
DOI: 10.1007/S002110100372
description: scientific article; zbMATH DE number 1883920