Crank‐nicolsen‐Galerkin approximation for Maxwell's equations

DOI10.1002/MMA.1670040109zbMath0476.65080OpenAlexW1995349644MaRDI QIDQ3932250

Ronald H. W. Hoppe

Publication date: 1982

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670040109

zbMATH Keywords

convergenceHilbert spaceMaxwell equationsgroups of operatorsCrank-Nicolson-Galerkin approximation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications to the sciences (65Z05) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Cites Work

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• A penalty method for the approximate solution of stationary Maxwell equations
• The convergence of the horizontal line method for Maxwell's equations
• On convergence and error estimates for the horizontal line method applied to Maxwell's initial boundary problem in anisotropic, inhomogeneous media

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