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01-09-2018

A discontinuous Galerkin method for a time-harmonic eddy current problem

Authors: Ana Alonso Rodríguez, Antonio Márquez, Salim Meddahi, Alberto Valli

Published in: Calcolo | Issue 3/2018

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Abstract

We introduce and analyze a discontinuous Galerkin method for a time-harmonic eddy current problem formulated in terms of the magnetic field. The scheme is obtained by putting together a DG method for the approximation of the vector field variable representing the magnetic field in the conductor and a DG method for the Laplace equation whose solution is a scalar magnetic potential in the insulator. The transmission conditions linking the two problems are taken into account weakly in the global discontinuous Galerkin scheme. We prove that the numerical method is uniformly stable and obtain quasi-optimal error estimates in the DG-energy norm.

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Title: A discontinuous Galerkin method for a time-harmonic eddy current problem
Authors: Ana Alonso Rodríguez
Antonio Márquez
Salim Meddahi
Alberto Valli
Publication date: 01-09-2018
Publisher: Springer International Publishing
Published in: Calcolo / Issue 3/2018
Print ISSN: 0008-0624
Electronic ISSN: 1126-5434
DOI: https://doi.org/10.1007/s10092-018-0267-2

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