Stability of perfectly matched layers, group velocities and anisotropic waves.
type: Item
instance of: scholarly article
title: Stability of perfectly matched layers, group velocities and anisotropic waves.
zbMATH Open document ID: 1127.74335
DOI: 10.1016/S0021-9991(03)00184-0
author: S. Fauqueux
author: P. Joly
author: Eliane Bécache
published in: Journal of Computational Physics
publication date: 2003-07-30T00:00:00Z
Mathematics Subject Classification ID: 74J05
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74S30
zbMATH DE Number: 1957087
zbMATH Keywords: Perfectly matched layers
zbMATH Keywords: absorbing layers
zbMATH Keywords: elastodynamics
zbMATH Keywords: stability
zbMATH Keywords: hyperbolic systems
zbMATH Keywords: Fourier analysis
zbMATH Keywords: linearized Euler equations
zbMATH Keywords: anisotropy
MaRDI profile type: Publication
cites work: Well-posed perfectly matched layers for advective acoustics
cites work: Long time behavior of the perfectly matched layer equations in computational electromagnetics
cites work: Perfectly Matched Layers for the Convected Helmholtz Equation
cites work: On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
cites work: FICTITIOUS DOMAINS, MIXED FINITE ELEMENTS AND PERFECTLY MATCHED LAYERS FOR 2-D ELASTIC WAVE PROPAGATION
cites work: A New Family of Mixed Finite Elements for the Linear Elastodynamic Problem
cites work: A perfectly matched layer for the absorption of electromagnetic waves
cites work: Three-dimensional perfectly matched layer for the absorption of electromagnetic waves
cites work: MIXED FINITE ELEMENTS WITH MASS-LUMPING FOR THE TRANSIENT WAVE EQUATION
cites work: Perfectly matched absorbing layers for the paraxial equations
cites work: Q4450192
cites work: On the analysis and construction of perfectly matched layers for the linearized Euler equations
cites work: Initial-Boundary Value Problems for Linear Hyperbolic System
cites work: On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
cites work: Q3874765
cites work: Convergence of the solutions of the compressible to the solutions of the incompressible Navier-Stokes equations
cites work: Caractère bien posé du problème de Cauchy pour le système de Bérenger
cites work: Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates
cites work: A reflectionless sponge layer absorbing boundary condition for the solution of Maxwell's equations with high-order staggered finite difference schemes
cites work: Perfectly matched layer as an absorbing boundary condition for the linearized Euler equations in open and ducted domains
cites work: Group Velocity in Finite Difference Schemes
cites work: Group velocity interpretation of the stability theory of Gustafsson, Kreiss, and Sundstroem
cites work: Instability of difference models for hyperbolic initial boundary value problems
cites work: Absorbing PML boundary layers for wave-like equations
full work available at URL: s0021-9991(03)00184-0
OpenAlex ID: W2007212379
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description: scientific article; zbMATH DE number 1957087