A Nondiffusive Finite Volume Scheme for the Three-Dimensional Maxwell's Equations on Unstructured Meshes
SIAM JOURNAL ON NUMERICAL ANALYSIS（2002）
摘要
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.
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关键词
absorbing boundary condition,three-dimensional maxwell,nondiffusive finite volume scheme,unstructured meshes,second-order accurate finite volume,leap-frog time scheme,time-domain solution,centered fluxes,finite volume partition,l2-stability,energy methods,electromagnetics,finite volume methods,general sufficient condition,numerical test,original finite volume scheme,space dimension,numerical solution,sufficient cfl-like condition,three dimensional,finite volume method,finite volume,second order,time domain
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