A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes

Authors:
Serge Piperno;Malika Remaki;Loula Fezoui
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2001

Citing 0
Cited 6

A High Performance Java Middleware with a Real Application

Proceedings of the 2004 ACM/IEEE conference on Supercomputing
A spatial high-order hexahedral discontinuous Galerkin method to solve Maxwell's equations in time domain

Journal of Computational Physics
Application of the symplectic finite-difference time-domain scheme to electromagnetic simulation

Journal of Computational Physics
Dissipative terms and local time-stepping improvements in a spatial high order Discontinuous Galerkin scheme for the time-domain Maxwell's equations

Journal of Computational Physics
A finite volume method for the approximation of Maxwell's equations in two space dimensions on arbitrary meshes

Journal of Computational Physics
Asynchronous typed object groups for grid programming

International Journal of Parallel Programming

Quantified Score

Hi-index	0.02

Visualization

Abstract

We prove a sufficient CFL-like condition for the L2-stability of the second-order accurate finite volume scheme proposed by Remaki for the time-domain solution of Maxwell's equations in heterogeneous media with metallic and absorbing boundary conditions. We yield a very general sufficient condition valid for any finite volume partition in two and three space dimensions. Numerical tests show the potential of this original finite volume scheme in one, two, and three space dimensions for the numerical solution of Maxwell's equations in the time-domain.