An algebraic method to develop well-posed PML models. Absorbing layers, perfectly matched layers, linearized Euler equations
type: Item
instance of: scholarly article
title: An algebraic method to develop well-posed PML models. Absorbing layers, perfectly matched layers, linearized Euler equations
zbMATH Open document ID: 1079.76060
author: Adib N. Rahmouni
published in: Journal of Computational Physics
publication date: 2004-08-06T00:00:00Z
review text: In the article \textit{J.-P. Bérenger} [J. Comput. Phys. 127, No. 2, 363--379 (1996; Zbl 0862.65080)] the author proposed a new layer method called ``perfectly matched layer'', PML, for electromagnetism. This new method is based on the truncation of the computational domain by a layer which absorbs waves regardless of their frequency and angle of incidence. Unfortunately, this technique proposed by Bérenger leads to a system which has lost the most important properties of the original one: strong hyperbolicity and symmetry. Here the author proposes an algebraic technique leading to a PML model, strongly well-posed, preserving the advantages of the initial method and retainig symmetry. Moreover, the model uses primitive variables unlike the Bérenger model. The model is similar to the model obtained in \textit{J. S. Hesthaven} [J. Comput. Phys. 142, No. 1, 129--147 (1998; Zbl 0933.76063)]. The method can be generalized to other hyperbolic problems.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 78M25
zbMATH DE Number: 2083087
zbMATH Keywords: symmetry
zbMATH Keywords: well-posedness
MaRDI profile type: Publication
full work available at URL: j.jcp.2003.11.019
OpenAlex ID: W1578422606
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DOI: 10.1016/J.JCP.2003.11.019
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description: scientific article; zbMATH DE number 2083087