L2-stability of the upwind first order finite volume scheme for the Maxwell equations in two and three dimensions on arbitrary unstructured meshes

DOI10.1051/m2an:2000135zbMath0949.65104OpenAlexW2153229800MaRDI QIDQ4950985

Serge Piperno

Publication date: 5 December 2000

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/197507

zbMATH Keywords

stabilityMaxwell's equationsfinite volume schemeabsorbing boundary conditions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25)

Related Items (8)

High order discontinuous Galerkin method for the solution of 2D time-harmonic Maxwell's equations ⋮ Solution of the time-harmonic Maxwell equations using discontinuous Galerkin methods ⋮ Domain Decomposition Methods for Electromagnetic Wave Propagation Problems in Heterogeneous Media and Complex Domains ⋮ The finite-volume time-domain algorithm using least square method in solving Maxwell's equations ⋮ Convergence and stability of a discontinuous Galerkin time-domain method for the 3D heterogeneous Maxwell equations on unstructured meshes ⋮ A finite volume method for the approximation of Maxwell's equations in two space dimensions on arbitrary meshes ⋮ A domain decomposition method for solving the three-dimensional time-harmonic Maxwell equations discretized by discontinuous Galerkin methods ⋮ Coupling of an Exact Transparent Boundary Condition with a DG Method for the Solution of the Time-Harmonic Maxwell Equations

Uses Software

• HLLE

Cites Work

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