On the accuracy and stability of the perfectly matched layer in transient waveguides

DOI10.1007/S10915-012-9594-7zbMath1266.78020OpenAlexW2068049159MaRDI QIDQ1936300

Gunilla Kreiss, Kenneth Duru

Publication date: 4 February 2013

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

Full work available at URL: https://doi.org/10.1007/s10915-012-9594-7

zbMATH Keywords

stabilityenergy estimatesguided waveshigh order accuracyperfectly matched layersummation-by-parts-simultaneous approximation term (SBP-SAT) scheme

Mathematics Subject Classification ID

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) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (9)

A high order compact time/space finite difference scheme for the 2D and 3D wave equation with a damping layer ⋮ A perfectly matched layer for the time-dependent wave equation in heterogeneous and layered media ⋮ Assessment of characteristic boundary conditions based on the artificial compressibility method in generalized curvilinear coordinates for solution of the Euler equations ⋮ Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides ⋮ Numerical interaction of boundary waves with perfectly matched layers in two space dimensional elastic waveguides ⋮ On energy stable discontinuous Galerkin spectral element approximations of the perfectly matched layer for the wave equation ⋮ The Role of Numerical Boundary Procedures in the Stability of Perfectly Matched Layers ⋮ Stability and Convergence Analysis of Time-Domain Perfectly Matched Layers for the Wave Equation in Waveguides ⋮ Application of transparent boundary conditions to high-order finite-difference schemes for the wave equation in waveguides

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