Year: 2005
Author: Séraphin M. Mefire
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 2 : pp. 131–152
Abstract
A numerical method combining the approaches of C.I. Goldstein and L.-A. Ying is used for the simulation in three-dimensional magnetostatics related to an exterior problem in magnetic induction. Recently introduced, this method is based on the use of a graded mesh obtained by gluing homothetic layers in the exterior domain and has been performed in the case of edge element discretizations. In this work, the theoretical and practical aspects of the method are inspected in the case of face element and volume element discretizations, for computing a magnetic induction. Error estimates, implementations, and numerical results are provided.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2005-JCM-8802
Journal of Computational Mathematics, Vol. 23 (2005), Iss. 2 : pp. 131–152
Published online: 2005-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Exterior problems Magnetostatics Mixed formulations Graded meshes Face elements Volume elements Boundary elements Truncations Error estimates.