### Third Order Finite Volume Evolution Galerkin (FVEG) Methods for Two-Dimensional Wave Equation System

Maria Lukacova-Medvidova, Gerald Warnecke, and Yousef Zahaykah

Abstract: 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 $\tilde{\uu{U}}^{n}=R_h\uu{U}^n\in S_h^2$ from the piecewise constant $\uu{U}^{n}\in S_h^0$, 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.

Paper:
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Author(s):
Maria Lukacova-Medvidova, <ukacova@tu-harburg.de>
Gerald Warnecke, <gerald.warnecke@mathematik.uni-magdeburg.de>
Yousef Zahaykah, <yousef.zahaykah@mathematik.uni-magdeburg.de>
Publishing information:
Accepted in East-West J. Numer. Anal., 2003