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Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system
Citation Link: https://doi.org/10.15480/882.128
Publikationstyp
Working Paper
Date Issued
2003-06
Sprache
English
Institut
TORE-DOI
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.
Subjects
hyperbolic systems
wave equation
evolution Galerkin schemes
recovery stage
finite volume
DDC Class
510: Mathematik