Development and analysis of a new finite element method for the Cohen-Monk PML model
type: Item
instance of: scholarly article
title: Development and analysis of a new finite element method for the Cohen-Monk PML model
zbMATH Open document ID: 1459.65181
author: Yanyan Li
published in: Numerische Mathematik
publication date: 2021-03-03T00:00:00Z
review text: The Perfectly Matched Layer (PML) was introduced in [\textit{J. P. Bérenger}, C. R. Acad. Sci., Paris, Sér. 322, No. 3, 285--288 (1996; Zbl 0814.65129)] for solving the time-dependent Maxwell's equations in unbounded domains, which has been used frequently for wave propagation simulation. In this paper, an equivalent Cohen-Monk PML model is formulated and then its stability is proved. The equivalent PML model is solved with a finite element method. Discrete stability is established which has exactly the same form as the continuous stability and optimal error estimate are proved. Numerical results demonstrating the effectiveness of this PML model are presented.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 78M10
Mathematics Subject Classification ID: 78M20
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35L15
Mathematics Subject Classification ID: 35Q60
zbMATH DE Number: 7317376
zbMATH Keywords: Cohen-Monk perfectly matched layer (PML) model
zbMATH Keywords: finite element method
zbMATH Keywords: Raviart-Thomas-Nédélec
reviewed by: Bülent Karasözen
MaRDI profile type: Publication
full work available at URL: s00211-020-01166-4
OpenAlex ID: W3120302522
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DOI: 10.1007/S00211-020-01166-4
description: scientific article; zbMATH DE number 7317376