Determination of a material constant in the impedance boundary condition for electromagnetic fields
type: Item
instance of: scholarly article
title: Determination of a material constant in the impedance boundary condition for electromagnetic fields
zbMATH Open document ID: 1203.78011
author: Viera Zemanová
author: M. Slodička
author: L. R. Dupré
published in: Journal of Computational and Applied Mathematics
publication date: 2010-07-20T00:00:00Z
review text: The paper deals with the problem of the reconstruction of a ferromagnetic material parameter describing the electromagnetic losses at a part of the Lipschitz continuous boundary of a bounded domain in \(\mathbb R^3\) in static electromagnetism. In order to guarantee the uniqueness of the solution on the underlying boundary value problem, an additional boundary condition, called iron loss boundary condition, is imposed. Then the existence and uniqueness of a weak solution is proved and a Newton-type reconstruction method is presented and tested numerically.
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 65N21
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35R30
zbMATH DE Number: 5758069
zbMATH Keywords: inverse problem
zbMATH Keywords: parameter reconstruction
zbMATH Keywords: impedance boundary condition
zbMATH Keywords: electromagnetism
reviewed by: Dmitry Shepelsky
MaRDI profile type: Publication
full work available at URL: j.cam.2009.08.064
OpenAlex ID: W2000239338
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DOI: 10.1016/J.CAM.2009.08.064
description: scientific article; zbMATH DE number 5758069