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Generalized finite difference scheme using mainly orthogonal and locally barycentric dual mesh for electromagnetic problems

Published online by Cambridge University Press:  21 October 2010

L. Bernard  and
L. Pichon
L. Bernard*
Affiliation:
Laboratoire de Génie Électrique de Paris, SUPELEC, Univ. Paris-Sud, Univ. Pierre et Marie Curie 06, CNRS (UMR 8507), 11 rue Joliot-Curie, Plateau de Moulon, 91192 Gif-sur-Yvette Cedex, France
L. Pichon
Affiliation:
Laboratoire de Génie Électrique de Paris, SUPELEC, Univ. Paris-Sud, Univ. Pierre et Marie Curie 06, CNRS (UMR 8507), 11 rue Joliot-Curie, Plateau de Moulon, 91192 Gif-sur-Yvette Cedex, France
*
laurent.bernard@lgep.supelec.fr
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Abstract

A mainly orthogonal and locally barycentric dual mesh is used to improve the performances of a generalized finite difference method. A criterium is proposed to choose between an orthogonal and a barycentric construction for the dual mesh taking into account stability considerations for an explicit time scheme. The construction of the constitutive matrix is performed using either the microcell or the Galerkin method. The proposed method is shown to considerably reduce the computational cost in the assembly process and the resolution compared to methods using completely barycentric dual meshes.

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 52 , Issue 2: Focus on Numelec , November 2010 , 23307
Copyright
© EDP Sciences, 2010

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http://www.geuz.org/gmsh/