caa a22 4500 378867377 CHVBK 20180305123401.0 cr unu---uuuuu 161128e20030901xx s 000 0 eng 10.1515/156939503322553108 doi (NATIONALLICENCE)gruyter-10.1515/156939503322553108 Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system [Elektronische Daten] [M. Lukáčová-Medviďová, G. Warnecke, Y. Zahaykah] 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 Ũ n = R h U n ∈ from the piecewise constant U n ∈ , 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. Copyright 2003, Walter de Gruyter hyperbolic systems nationallicence wave equation nationallicence evolution Galerkin schemes nationallicence recovery stage nationallicence finite volume nationallicence Lukáčová-Medviďová M. Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39 106 Magdeburg, Germany, emails: Gerald.Warnecke@mathematik.uni-magdeburg.de, Yousef.Zahaykah@mathematik.uni-magdeburg.de aut Warnecke G. Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39 106 Magdeburg, Germany, emails: Gerald.Warnecke@mathematik.uni-magdeburg.de, Yousef.Zahaykah@mathematik.uni-magdeburg.de aut Zahaykah Y. Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39 106 Magdeburg, Germany, emails: Gerald.Warnecke@mathematik.uni-magdeburg.de, Yousef.Zahaykah@mathematik.uni-magdeburg.de aut Journal of Numerical Mathematics Walter de Gruyter 11/3(2003-09-01), 235-251 1570-2820 11:3<235 2003 11 jnma https://doi.org/10.1515/156939503322553108 text/html Onlinezugriff via DOI 1 research article jats NATIONALLICENCE 856 40 https://doi.org/10.1515/156939503322553108 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lukáčová-Medviďová M. Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39 106 Magdeburg, Germany, emails: Gerald.Warnecke@mathematik.uni-magdeburg.de, Yousef.Zahaykah@mathematik.uni-magdeburg.de aut NATIONALLICENCE 700 1- Warnecke G. Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39 106 Magdeburg, Germany, emails: Gerald.Warnecke@mathematik.uni-magdeburg.de, Yousef.Zahaykah@mathematik.uni-magdeburg.de aut NATIONALLICENCE 700 1- Zahaykah Y. Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39 106 Magdeburg, Germany, emails: Gerald.Warnecke@mathematik.uni-magdeburg.de, Yousef.Zahaykah@mathematik.uni-magdeburg.de aut NATIONALLICENCE 773 0- Journal of Numerical Mathematics Walter de Gruyter 11/3(2003-09-01), 235-251 1570-2820 11:3<235 2003 11 jnma CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-gruyter