Remarks on the stability of Cartesian PMLs in corners

DOI10.1016/j.apnum.2012.05.003zbMath1257.65052arXiv1105.3046OpenAlexW2047212974MaRDI QIDQ450936

Andrés Prieto, Eliane Bécache

Publication date: 26 September 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3046

zbMATH Keywords

stabilitynumerical experimentsfinite differencesCourant-Friedrichs-Lewy conditionCFL conditionfirst order hyperbolic equationsperfectly matched layersabsorbing layersfinite elements on quadrilateralslinear first order hyperbolic system

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 element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) First-order hyperbolic systems (35L40) First-order hyperbolic equations (35L02)

Related Items (6)

Assessment of characteristic boundary conditions based on the artificial compressibility method in generalized curvilinear coordinates for solution of the Euler equations ⋮ On energy stable discontinuous Galerkin spectral element approximations of the perfectly matched layer for the wave equation ⋮ Enhanced conformal perfectly matched layers for Bernstein-Bézier finite element modelling of short wave scattering ⋮ Perfectly matched layers for convex truncated domains with discontinuous Galerkin time domain simulations ⋮ Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain ⋮ The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers

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