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Title: Finite volume schemes for multidimensional hyperbolic systems based on the use of bicharacteristics
Language: English
Authors: Medviďová-Lukáčová, Mária 
Keywords: multidimensional finite volume methods; Bicharacteristics; Hyperbolic systems; Wave equation; Euler equations
Issue Date: Mar-2003
Abstract (english): 
In this survey paper we present an overview on recent results for the bicharacteristics based finite volume schemes, the so-called finite volume evolution Galerkin (FVEG) schemes. These methods were proposed to solve multidimensional hyperbolic conservation laws. They combine the usually conflicting design objectives of using the conservation form and following the characteritics, or bicharacteritics. This is realized by combining the finite volume formulation with approximate evolution operators, which use bicharacteristics of multidimensional hyperbolic system. In this way all of the infinitely many directions of wave propagation are taken into account. The main goal of this paper is to study long-time behaviour of the FVEG schemes. We present several numerical experiments which con¯rm the fact that the FVEG methods are well-suited for long-time simulations
DOI: 10.15480/882.135
Institute: Mathematik E-10 
Document Type: Preprint
License: In Copyright In Copyright
Part of Series: Preprints des Institutes für Mathematik 
Volume number: 59
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