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Publisher DOI: 10.1016/j.apnum.2006.09.011
Title: Finite volume evolution Galerkin (FVEG) methods for three-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: Sep-2004
Source: Preprint. Published in: Applied Numerical MathematicsVolume 57, Issue 9, September 2007, Pages 1050-1064
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 80
Abstract (english): 
The subject of the paper is the derivation of finite volume evolution Galerkin schemes for three-dimensional wave equation system. The aim is to construct methods which take into account all of the infinitely many directions of propagation of bicharacteristics. The idea is to evolve the initial function using the characteristic cone and then to project onto a finite element space. Numerical experiments are presented to demonstrate the accuracy and the multidimensional behaviour of the solutions. Moreover, we construct further new EG schemes by neglecting the so-called source term, i.e. we mimic Kirchhoff's formula. The numerical test shows that such schemes are more accurate and some of them are of second order.
DOI: 10.15480/882.117
Institute: Mathematik E-10 
Document Type: Preprint
License: In Copyright In Copyright
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