On convergence and error estimates for the horizontal line method applied to Maxwell's initial boundary problem in anisotropic, inhomogeneous media

DOI10.1017/S0308210500011987zbMath0438.65102OpenAlexW2329624545MaRDI QIDQ3880250

Rainer Picard

Publication date: 1980

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500011987

zbMATH Keywords

error estimatesconvergence resultsRothe methodhorizontal line methodMaxwell's initial boundary value problem

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Method of lines for boundary value problems involving PDEs (65N40)

Related Items

Time stepping procedures for the non-stationary Stokes equations, Finite element approximation of electromagnetic fields in three dimensional space, Semi-discrete Galerkin approximation method applied to initial boundary value problems for Maxwell's equations in anisotropic, inhomogeneous media, Crank‐nicolsen‐Galerkin approximation for Maxwell's equations

Cites Work

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