Open AccessGeneralized finite difference scheme using mainly orthogonal and locally barycentric dual mesh for electromagnetic problems
Author(s) -
Laurent Bernard,
Lionel Pichon
Publication year - 2010
Publication title -
the european physical journal applied physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.216
H-Index - 49
eISSN - 1286-0050
pISSN - 1286-0042
DOI - 10.1051/epjap/2010081
Subject(s) - barycentric coordinate system , polygon mesh , mathematics , galerkin method , dual (grammatical number) , scheme (mathematics) , finite difference , finite difference method , algorithm , finite element method , mathematical optimization , topology (electrical circuits) , mathematical analysis , geometry , structural engineering , combinatorics , engineering , art , literature
International audienceA 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
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