Please use this identifier to cite or link to this item: https://doi.org/10.15480/882.127
Fulltext available Open Access
Title: On the boundary conditions for EG-methods applied to the two-dimensional wave equation system
Language: English
Authors: Medviďová-Lukáčová, Mária 
Warnecke, Gerald 
Zahaykah, Yousef 
Keywords: hyperbolic systems;wave equation;evolution Galerkin schemes;absorbing boundary conditions;reflecting boundary conditions
Issue Date: Jun-2003
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 63
Abstract (english): The subject of the paper is the study of some nonreflecting and reflecting boundary conditions for the evolution Galerkin methods (EG) which are applied for the two-dimensional wave equation system. Different known tools are used to achieve this aim. Namely, the method of characteristics, the method of extrapolation, the Laplace transformation method, and the perfectly matched layer (PML) method. We show that the absorbing boundary conditions which are based on the use of the Laplace transformation lead to the Engquist-Majda first and second order absorbing boundary conditions. Further, following Berenger we consider the PML method. We discretize the wave equation system with the leap-frog scheme inside the PML while the evolution Galerkin schemes are used inside the computational domain. Numerical tests demonstrate that this method produces much less unphysical reflected waves as well as the best results in comparison with other techniques studied in the paper.
URI: http://tubdok.tub.tuhh.de/handle/11420/129
DOI: 10.15480/882.127
Institute: Mathematik E-10 
Type: ResearchPaper
License: In Copyright In Copyright
Appears in Collections:Publications with fulltext

Files in This Item:
File Description SizeFormat
rep63.pdf891,4 kBAdobe PDFThumbnail
View/Open
Show full item record

Page view(s)

461
Last Week
3
Last month
5
checked on Sep 20, 2020

Download(s)

209
checked on Sep 20, 2020

Google ScholarTM

Check

Note about this record

Export

Items in TORE are protected by copyright, with all rights reserved, unless otherwise indicated.