A finite volume method for solving Maxwell equations in inhomogeneous media on arbitrary meshes

Abstract

We present a new finite volume method for solving Maxwell equations in inhomogeneous media. This method has several advantages: (i) it allows even distorted or non-convex arbitrary polygonal meshes to be used; (ii) it preserves the Gauss law; (iii) it leads to an explicit differential system; (iv) it generalizes the standard finite difference method and the finite volume method on Delaunay–Voronoi meshes. To cite this article: F. Hermeline, C. R. Acad. Sci. Paris, Ser. I 339 (2004).