Stability and super convergence analysis of ADI-FDTD for the 2D Maxwell equations in a lossy medium

DOI10.1016/S0252-9602(12)60184-2zbMath1289.78015MaRDI QIDQ376884

Liping Gao

Publication date: 19 November 2013

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

stabilityconvergenceMaxwell equationsenergy conservationADI-FDTD

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

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Efficient energy structure-preserving schemes for three-dimensional Maxwell's equations ⋮ Fast parallel IGA-AdS solver for time-dependent Maxwell's equations ⋮ Stable and efficient numerical schemes for two-dimensional Maxwell equations in lossy medium ⋮ Isogeometric residual minimization method (iGRM) with direction splitting preconditioner for stationary advection-dominated diffusion problems ⋮ Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems ⋮ A high-efficient splitting step reduced-dimension pure meshless method for transient 2D/3D Maxwell's equations in complex irregular domain

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