Time-discretization scheme for quasi-static Maxwell's equations with a non-linear boundary condition

DOI10.1016/j.cam.2007.06.004zbMath1151.78004OpenAlexW2044276937MaRDI QIDQ929953

Marián Slodička, Viera Zemanová

Publication date: 19 June 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.06.004

zbMATH Keywords

convergenceerror estimatestime-discretizationnon-linear Silver-Müller boundary conditionquasi-static Maxwell equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Electro- and magnetostatics (78A30)

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Cites Work

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• Augmented formulations for solving Maxwell equations
• Decay rates for solutions of a Maxwell system with nonlinear boundary damping
• Continuous Galerkin methods for solving the time-dependent Maxwell equations in 3D geometries
• Boundary stabilization of Maxwell's equations with space-time variable coefficients
• Variational principles in electromagnetism
• Finite Element Methods for Maxwell's Equations
• Existence, uniqueness and finite element approximation of the solution of time‐harmonic electromagnetic boundary value problems involving metamaterials

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