An \(\mathbf H\)-based FEM-BEM formulation for a time dependent eddy current problem
type: Item
instance of: scholarly article
title: An \(\mathbf H\)-based FEM-BEM formulation for a time dependent eddy current problem
zbMATH Open document ID: 1208.78033
author: Salim Meddahi
author: V. Selgas
published in: Applied Numerical Mathematics
publication date: 2008-07-11T00:00:00Z
review text: A time-dependent eddy current problem posed in the whole space is studied. It is proved that the problem has a well-posed weak formulation. It is also shown that the latter formulation admits a well-posed saddle point structure when the constraint satisfied by the magnetic field in the dielectric medium is handled by means of a Lagrange multiplier. Furthermore, a BEM-FEM formulation of the problem is provided that leads to a semi-discrete Galerkin scheme based on Nédélec's edge elements and Raviart-Thomas elements. Finally, the asymptotic behavior of the error is analyzed in terms of the mesh size parameter.
reviewed by: Nina Shokina
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 78M15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 5300745
zbMATH Keywords: eddy currents
zbMATH Keywords: boundary elements
zbMATH Keywords: mixed finite elements
MaRDI profile type: Publication
full work available at URL: j.apnum.2007.04.002
OpenAlex ID: W1995230562
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DOI: 10.1016/J.APNUM.2007.04.002
description: scientific article; zbMATH DE number 5300745