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Title: Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system
Language: English
Authors: Medviďová-Lukáčová, Mária 
Warnecke, Gerald 
Zahaykah, Yousef 
Keywords: hyperbolic systems;wave equation;evolution Galerkin schemes;recovery stage;finite volume
Issue Date: Jun-2003
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 62
Abstract (english): The subject of the paper is the derivation and analysis of third order finite volume evolution Galerkin schemes for the two-dimensional wave equation system. To achieve this the first order approximate evolution operator is considered. A recovery stage is carried out at each level to generate a piecewise polynomial approximation from the piecewise constants, to feed into the calculation of the fluxes. We estimate the truncation error and give numerical examples to demonstrate the higher order behaviour of the scheme for smooth solutions.
DOI: 10.15480/882.128
Institute: Mathematik E-10 
Type: ResearchPaper
Appears in Collections:Publications (tub.dok)

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