Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor
type: Item
instance of: scholarly article
title: Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor
zbMATH Open document ID: 1059.78033
author: Francesca Rapetti
author: Bernd Flemisch
author: Yvon Maday
author: B. Wohlmuth
published in: Journal of Computational and Applied Mathematics
publication date: 2004-08-16T00:00:00Z
review text: This paper considers the T-Q formulation of the magnetic field in order to approximate the magnetic quantities modelled by the eddy current equations. This formulation allows the authors to use a scalar function in the main part of the computational domain, reducing the use of vector quantities to the conducting parts. The authors propose to approximate these two quantities on nonmatching grids in order to be able to tackle problems where the conducting part can move in the global domain. The connection between the two grids is managed by using mortar techniques. Numerical experiments in two dimensions reported in the last section of the paper illustrate the results obtained with the proposed algorithm.
reviewed by: L. F. Pavarino
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 78A30
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M55
zbMATH DE Number: 2091457
zbMATH Keywords: Eddy currents
zbMATH Keywords: scalar and vector potentials
zbMATH Keywords: nonmatching grids
zbMATH Keywords: domain decomposition
zbMATH Keywords: mortar element methods
MaRDI profile type: Publication
Wikidata QID: Q59900399
full work available at URL: j.cam.2003.05.017
OpenAlex ID: W2068127468
cites work: Q3210095
cites work: Q4288485
cites work: Q4235028
cites work: Scalar and vector potentials' coupling on nonmatching grids for the simulation of an electromagnetic brake
cites work: Fictitious domain methods for the numerical solution of two-dimensional scattering problems
cites work: Coupling between scalar and vector potentials by the mortar element method
cites work: Q4462407
cites work: Mixed finite elements in \(\mathbb{R}^3\)
cites work: Acoustic and electromagnetic equations. Integral representations for harmonic problems
cites work: Parallel iterative methods for sparse linear systems
cites work: Discretization methods and iterative solvers based on domain decomposition
DOI: 10.1016/J.CAM.2003.05.017
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description: scientific article; zbMATH DE number 2091457