Second Order Finite Volume Scheme on Tetrahedral Meshes for Three-Dimensional Maxwell’s Equations with Discontinuous Dielectric Permittivity

Abstract

An extension of a finite volume scheme for three-dimensional Maxwell’s equations with discontinuous dielectric permittivity on tetrahedral meshes is discussed. The scheme is second order accurate in time and space for regions with linear and curvilinear discontinuities. It was tested on problems with linear and curvilinear discontinuity configurations. The test results support the second order accuracy of the proposed scheme.