Numerical Approximation of Asymptotically Disappearing Solutions of Maxwell's Equations

DOI10.1137/120879385zbMath1285.65075arXiv1205.7046OpenAlexW2951836194MaRDI QIDQ2870697

J. H. Adler, Ludmil T. Zikatanov, Vesselin Petkov

Publication date: 21 January 2014

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.7046

zbMATH Keywords

numerical resultsfinite element methodelectric fieldmagnetic fieldMaxwell's equationsboundary value problemCrank-Nicolson schemedissipative boundary conditionsasymptotically disappearing solutionssemi-discrete system

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Electromagnetic theory (general) (78A25) Finite difference methods for boundary value problems involving PDEs (65N06) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61)

Related Items (4)

Robust Solvers for Maxwell's Equations with Dissipative Boundary Conditions ⋮ Scalable Preconditioners for Structure Preserving Discretizations of Maxwell Equations in First Order Form ⋮ Helix surfaces in Euclidean spaces ⋮ A Finite-Element Framework for a Mimetic Finite-Difference Discretization of Maxwell's Equations

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