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<publisher>HAL CCSD</publisher>
<title lang=en>Exponential meshes and three-dimensional computation of a magnetic field</title>
<creator>Laminie, Jacques</creator>
<creator>Alouges, François</creator>
<creator>Mefire, Séraphin</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Laboratoire de Mathématiques d'Orsay (LM-Orsay) ; Université Paris-Sud - Paris 11 (UP11) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Centre de Mathématiques Appliquées - Ecole Polytechnique (CMAP) ; Polytechnique - X - Centre National de la Recherche Scientifique (CNRS)</contributor>
<contributor>Equations aux dérivées partielles (EDP) ; Institut Élie Cartan de Lorraine (IECL) ; Université de Lorraine (UL) - Centre National de la Recherche Scientifique (CNRS) - Université de Lorraine (UL) - Centre National de la Recherche Scientifique (CNRS)</contributor>
<description>International audience</description>
<source>ISSN: 0749-159X</source>
<source>EISSN: 1098-2426</source>
<source>Numerical Methods for Partial Differential Equations</source>
<publisher>Wiley</publisher>
<identifier>hal-00730196</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00730196</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00730196</source>
<source>Numerical Methods for Partial Differential Equations, Wiley, 2003, 19 (5), pp.595-637. 〈10.1002/num.10064〉</source>
<identifier>DOI : 10.1002/num.10064</identifier>
<relation>info:eu-repo/semantics/altIdentifier/doi/10.1002/num.10064</relation>
<language>en</language>
<subject lang=en>Exterior problems</subject>
<subject lang=en>magnetostatics</subject>
<subject lang=en>mixed formulations</subject>
<subject lang=en>graded meshes</subject>
<subject lang=en>edge elements</subject>
<subject lang=en>boundary elements</subject>
<subject lang=en>truncations</subject>
<subject lang=en>error estimates</subject>
<subject lang=en>preconditioning techniques</subject>
<subject>MS Codes : 65N15 ; 65N30 ; 65N38 ; 65R20 ; 78A30</subject>
<subject>[MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>We describe the simulation of an exterior problem using a magnetic field deriving from magnetostatics, with a numerical method mixing the approaches of C. I. Goldstein and L.-A. Ying. This method is based on the use of a graded mesh obtained by gluing homothetic layers in the exterior domain. On this mesh, we use an edge elements discretization and a recently proposed mixed formulation. In this paper, we provide both a theoretical and numerical study of the method. We establish an error estimate, describe the implementation, propose some preconditioning techniques and show the numerical results. We also compare these results with those obtained from an equivalent boundary elements approach. In this way, we retain that our method leads to a practical numerical implementation, a saving of storage, and turns out to be an alternative to the classical boundary elements method.</description>
<date>2003</date>
</dc>
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