Generalized finite difference scheme using mainly orthogonal and locally barycentric dual mesh for electromagnetic problems
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
Corresponding author: email@example.com
Accepted: 6 May 2010
Published online: 21 October 2010
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.
© EDP Sciences, 2010