A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes
- 1 January 2002
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 39 (6) , 2089-2108
- https://doi.org/10.1137/s0036142901387683
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.Keywords
This publication has 20 references indexed in Scilit:
- Mimetic Discretizations for Maxwell's EquationsJournal of Computational Physics, 1999
- A Modified Perfectly Matched Layer Implementation for Use in Electromagnetic PIC CodesJournal of Computational Physics, 1999
- The Perfectly Matched Layer in Curvilinear CoordinatesSIAM Journal on Scientific Computing, 1998
- On the Termination of the Perfectly Matched Layer with Local Absorbing Boundary ConditionsJournal of Computational Physics, 1998
- A Domain Decomposition Method for the Helmholtz Equation and Related Optimal Control ProblemsJournal of Computational Physics, 1997
- Dégénérescence de sous-groupes discrets des groupes de Lie semi-simplesComptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997
- Éléments finis d'arête et condensation de masse pour les équations de Maxwell: le cas 2DComptes Rendus de l'Académie des Sciences - Series I - Mathematics, 1997
- Three-Dimensional Perfectly Matched Layer for the Absorption of Electromagnetic WavesJournal of Computational Physics, 1996
- A Parallel Time-Domain Maxwell Solver Using Upwind Schemes and Triangular MeshesIMPACT of Computing in Science and Engineering, 1993
- High resolution schemes for hyperbolic conservation lawsJournal of Computational Physics, 1983