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<identifier>oai:HAL:hal-00730199v1</identifier>
<datestamp>2018-01-11</datestamp>
<setSpec>type:ART</setSpec>
<setSpec>subject:math</setSpec>
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<publisher>HAL CCSD</publisher>
<title lang=en>Three-dimensional computation of a magnetic field by mixed finite elements and boundary elements</title>
<creator>Laminie, Jacques</creator>
<creator>Mefire, Séraphin</creator>
<contributor>Laboratoire de Mathématiques Informatique et Applications (LAMIA) ; Université des Antilles et de la Guyane (UAG)</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: 0168-9274</source>
<source>EISSN: 0168-9274</source>
<source>Applied Numerical Mathematics</source>
<publisher>Elsevier</publisher>
<identifier>hal-00730199</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-00730199</identifier>
<source>https://hal.archives-ouvertes.fr/hal-00730199</source>
<source>Applied Numerical Mathematics, Elsevier, 2000, 35 (3), pp.221-244</source>
<language>en</language>
<subject lang=en>Magnetostatics</subject>
<subject lang=en>Boundary integral method</subject>
<subject lang=en>Mixed finite elements</subject>
<subject lang=en>Boundary elements</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 are concerned with the three-dimensional magnetostatic problem where the nonhomogeneities and the source are confined to a bounded domain. We derive a mixed formulation of this problem whose unknowns are the magnetic field, a current vector potential which is introduced as an auxiliary unknown, and a boundary unknown which results from the boundary integral method. This formulation is an improvement with respect to previous formulations proposed in the literature in the sense that it leads to an easier implementation using Nédélec's edge elements and boundary elements, and to good numerical accuracy. Some numerical results are described and compared with those obtained by using the classical formulation in a scalar potential.</description>
<date>2000</date>
</dc>
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