The convergence of the horizontal line method for Maxwell's equations

DOI10.1002/mma.1670010109zbMath0415.35074OpenAlexW2091335157MaRDI QIDQ3050867

Erich Martensen

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1002/mma.1670010109

zbMATH Keywords

initial-boundary value problema priori estimatesMaxwell's equationsenergy normmaximum normsequence of boundary value problemshorizontal line methodcontinuous problemdiscretizised problem

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Theoretical approximation in context of PDEs (35A35) Electromagnetic theory (general) (78A25) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (7)

The Rothe method for the wave equation in several space dimensions ⋮ On convergence and error estimates for the horizontal line method applied to Maxwell's initial boundary problem in anisotropic, inhomogeneous media ⋮ Some remarks on the horizontal line method ⋮ 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 ⋮ The convergence of the horizontal line method for the continuity equation with discontinuous data

Cites Work

• Diskrete Konvergenz linearer Operatoren. I
• Diskrete Konvergenz linearer Operatoren. II
• Die Behandlung zweier Randwertprobleme für die vektorielle Poissongleichung nach einer Integralgleichungsmethode
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