Quasi-static Maxwell's equations with a dissipative non-linear boundary condition: full discretization

DOI10.1016/j.jmaa.2014.03.087zbMath1312.78001OpenAlexW2010470581MaRDI QIDQ489040

Marián Slodička, Viera Zemanová

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.087

zbMATH Keywords

convergenceerror estimatestime-discretizationlinearized schemenonlinear Silver-Müller boundary conditionquasi-static Maxwell's equationsspace-discretization

Mathematics Subject Classification ID

Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Electromagnetic theory (general) (78A25) Weak solutions to PDEs (35D30) Variational methods applied to problems in optics and electromagnetic theory (78M30) Maxwell equations (35Q61)

Related Items (2)

Finite element approximation for Maxwell's equations with Debye memory under a nonlinear boundary feedback with delay ⋮ Global well-posedness and exponential stability for Maxwell's equations under delayed boundary condition in metamaterials

Cites Work

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• Existence, uniqueness and finite element approximation of the solution of time‐harmonic electromagnetic boundary value problems involving metamaterials

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