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

L. Bernard , L. Pichon

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.

Mots clés: Physical Sciences

L. Bernard, L. Pichon. Generalized finite difference scheme using mainly orthogonal and locally barycentric dual mesh for electromagnetic problems. European Physical Journal: Applied Physics, 2010, 52 (2), ⟨10.1051/epjap/2010081⟩. ⟨hal-00634367⟩