On the coupling of LDG-FEM and BEM methods for the three dimensional magnetostatic problem
type: Item
instance of: scholarly article
title: On the coupling of LDG-FEM and BEM methods for the three dimensional magnetostatic problem
zbMATH Open document ID: 1206.78083
author: Christian Daveau
author: Abdelhamid Zaghdani
published in: Applied Mathematics and Computation
publication date: 2010-11-18T00:00:00Z
review text: This paper deals with the time-harmonic magnetostatic problem. In the discrete case, the authors introduce a coupled model based on the combination of the local discontinuous Galerkin method, the finite element method by using numerical fluxes, and a boundary integral method. By introducing a scalar potential and a vector potential, it is established a variational formulation associated to the continuous problem and it is deduced that this problem is well posed. In the final part of this paper it is deduced an optimal \textit{a priori} error estimate which implies the convergence of the discretization.
reviewed by: Teodora-Liliana Rădulescu
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 78A30
zbMATH DE Number: 5817264
zbMATH Keywords: discontinuous Galerkin method
zbMATH Keywords: boundary integral method
zbMATH Keywords: magnetostatic
zbMATH Keywords: Calderón operators
MaRDI profile type: Publication
full work available at URL: j.amc.2010.07.001
OpenAlex ID: W2004066871
cites work: Q4073917
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cites work: Q5549989
DOI: 10.1016/J.AMC.2010.07.001
description: scientific article; zbMATH DE number 5817264