Error analysis of an ADI splitting scheme for the inhomogeneous Maxwell equations

DOI10.3934/dcds.2018248zbMath1401.78013OpenAlexW2767790170MaRDI QIDQ1791649

Johannes Eilinghoff, Roland Schnaubelt

Publication date: 10 October 2018

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2018248

zbMATH Keywords

Maxwell equationssplittingconvergence orderpreservation of divergence conditionsstabilit

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods applied to problems in optics and electromagnetic theory (78M20) Numerical solutions to equations with linear operators (65J10) Maxwell equations (35Q61)

Related Items (7)

Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems ⋮ Operator splitting for abstract Cauchy problems with dynamical boundary conditions ⋮ A uniformly exponentially stable ADI scheme for Maxwell equations ⋮ Analysis of a Peaceman-Rachford ADI scheme for Maxwell equations in heterogeneous media ⋮ Wellposedness and regularity for linear Maxwell equations with surface current ⋮ Error Analysis of an Energy Preserving ADI Splitting Scheme for the Maxwell Equations ⋮ Analysis of a dimension splitting scheme for Maxwell equations with low regularity in heterogeneous media

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