Long-time performance of unsplit pmls with explicit second order schemes

DOI10.1007/s10915-009-9282-4zbMath1203.65127OpenAlexW2145888055MaRDI QIDQ618491

H. Qasimov, Semyon V. Tsynkov, Saul S. Abarbanel

Publication date: 16 January 2011

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-009-9282-4

zbMATH Keywords

wave propagationsecond order approximationMaxwell's equationsnumerical solutionleap-frog schemecentral difference/Runge-Kutta schemeLax-wendroff schemelong-time growthperfectly matched layer (PML)yee schemeyee/Runge-Kutta scheme

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)

Related Items (13)

A staggered-grid finite-difference scheme optimized in the time-space domain for modeling scalar-wave propagation in geophysical problems ⋮ Discrete stability of perfectly matched layers for anisotropic wave equations in first- and second-order formulation ⋮ Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics ⋮ A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell's equations ⋮ Novel two-way artificial boundary condition for 2D vertical water wave propagation modelled with radial-basis-function collocation method ⋮ Efficient and stable perfectly matched layer for CEM ⋮ Lacunae based stabilization of PMLs ⋮ Numerical Solution of 3D Exterior Unsteady Wave Propagation Problems Using Boundary Operators ⋮ Long-time behavior of PML absorbing boundaries for layered periodic structures ⋮ The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers ⋮ Discontinuous Galerkin difference methods for symmetric hyperbolic systems ⋮ A modified PML acoustic wave equation ⋮ The enriched degree of freedom method for the absorbing boundary and its application to XFEM in elastodynamic problems

Cites Work

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• Lacunae based stabilization of PMLs
• Numerical solution of problems on unbounded domains. A review
• On the construction and analysis of absorbing layers in CEM
• Absorbing PML boundary layers for wave-like equations
• A perfectly matched layer for the absorption of electromagnetic waves
• A mathematical analysis of the PML method
• Long time behavior of the perfectly matched layer equations in computational electromagnetics
• Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
• Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
• On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
• On the Long-Time Behavior of Unsplit Perfectly Matched Layers

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