Studies on some perfectly matched layers for one-dimensional time-dependent systems
type: Item
instance of: scholarly article
title: Studies on some perfectly matched layers for one-dimensional time-dependent systems
zbMATH Open document ID: 1166.65042
author: J. Martínez
published in: Advances in Computational Mathematics
publication date: 2009-04-29T00:00:00Z
review text: Some perfectly matched layers (PMLs) for the one-dimensional time-dependent Maxwell system, acoustic equations and hyperbolic systems in unbounded domains are analyzed. Some finite difference schemes are proposed for the PML equations, and their stability and convergence are established.
reviewed by: Fuhua Ling
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 76Q05
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 5549572
zbMATH Keywords: perfectly matched layers
zbMATH Keywords: Maxwell system
zbMATH Keywords: hyperbolic system
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: acoustic equation
zbMATH Keywords: finite difference schemes
MaRDI profile type: Publication
full work available at URL: s10444-007-9055-2
OpenAlex ID: W2056710801
cites work: A mathematical analysis of the PML method
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cites work: On absorbing boundary conditions for linearized Euler equations by a perfectly matched layer
cites work: Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell Equations in Rectangular, Cylindrical, and Spherical Coordinates
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DOI: 10.1007/S10444-007-9055-2
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description: scientific article; zbMATH DE number 5549572