Lacunae based stabilization of PMLs
type: Item
instance of: scholarly article
title: Lacunae based stabilization of PMLs
zbMATH Open document ID: 1145.65082
author: H. Qasimov
author: S. V. Tsynkov
published in: Journal of Computational Physics
publication date: 2008-07-29T00:00:00Z
full work available at URL: http://www.lib.ncsu.edu/resolver/1840.16/4820
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5304671
zbMATH Keywords: perfectly matched layer (PML)
zbMATH Keywords: long-time stability
zbMATH Keywords: weak well-posedness
zbMATH Keywords: wave propagation
zbMATH Keywords: hyperbolicity
zbMATH Keywords: Huygens' principle
zbMATH Keywords: lacunae
zbMATH Keywords: Maxwell's equations
zbMATH Keywords: artificial boundary conditions (ABCs)
zbMATH Keywords: numerical examples
zbMATH Keywords: d'Alembert equation
MaRDI profile type: Publication
OpenAlex ID: W2110814648
cites work: Q4938225
cites work: Numerical solution of problems on unbounded domains. A review
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: On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
cites work: A mathematical analysis of the PML method
cites work: Q4692703
cites work: On the analysis of Bérenger's Perfectly Matched Layers for Maxwell's equations
cites work: Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
cites work: On the construction and analysis of absorbing layers in CEM
cites work: On the analysis and construction of perfectly matched layers for the linearized Euler equations
cites work: Long time behavior of the perfectly matched layer equations in computational electromagnetics
cites work: Long-time performance of unsplit pmls with explicit second order schemes
cites work: On the Long-Time Behavior of Unsplit Perfectly Matched Layers
cites work: Non-linear PML equations for time dependent electromagnetics in three dimensions
cites work: Q4383836
cites work: Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates
cites work: Q4751933
cites work: The problem of diffusion of waves
cites work: Q3999241
cites work: A survey on Huygens' principle
cites work: Q4040088
cites work: Long-time numerical computation of wave-type solutions driven by moving sources
cites work: Q5840361
cites work: Global discrete artificial boundary conditions for time-dependent wave propagation
cites work: Artificial boundary conditions for the numerical simulation of unsteady acoustic waves.
cites work: On the application of lacunae-based methods to Maxwell's equations
cites work: Radiation boundary conditions for wave-like equations
cites work: Outflow Boundary Conditions for Fluid Dynamics
cites work: Far field boundary conditions for compressible flows
cites work: Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
cites work: An effective numerical technique for solving a special class of ordinary difference equations
cites work: Q5567753
DOI: 10.1016/J.JCP.2008.04.018
description: scientific article; zbMATH DE number 5304671