You are here: Home :: Area NEM :: Mathematics :: Arithmetic

M. Lukov-Medviov, G. Warnecke, Y. Zahaykah

Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system

Keywords: hyperbolic systems, wave equation, evolution Galerkin schemes, recovery stage, finite volume

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 Ũⁿ = R_hUⁿ ∈ from the piecewise constant Uⁿ ∈ , 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.

Journal of Numerical Mathematics, Walter de Gruyter

Print ISSN: 1570-2820
Volume: 11, 09/2003
Pages: 235 - 251

Show full article (external site)

Show all available items of this journal

 

Area NEM