Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system
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| 024 | 7 | 0 | |a 10.1515/156939503322553108 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/156939503322553108 | ||
| 245 | 0 | 0 | |a Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system |h [Elektronische Daten] |c [M. Lukáčová-Medviďová, G. Warnecke, Y. Zahaykah] |
| 520 | 3 | |a 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. | |
| 540 | |a Copyright 2003, Walter de Gruyter | ||
| 690 | 7 | |a hyperbolic systems |2 nationallicence | |
| 690 | 7 | |a wave equation |2 nationallicence | |
| 690 | 7 | |a evolution Galerkin schemes |2 nationallicence | |
| 690 | 7 | |a recovery stage |2 nationallicence | |
| 690 | 7 | |a finite volume |2 nationallicence | |
| 700 | 1 | |a Lukáčová-Medviďová |D M. |u 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 |4 aut | |
| 700 | 1 | |a Warnecke |D G. |u 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 |4 aut | |
| 700 | 1 | |a Zahaykah |D Y. |u 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 |4 aut | |
| 773 | 0 | |t Journal of Numerical Mathematics |d Walter de Gruyter |g 11/3(2003-09-01), 235-251 |x 1570-2820 |q 11:3<235 |1 2003 |2 11 |o jnma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/156939503322553108 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/156939503322553108 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Lukáčová-Medviďová |D M. |u 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 |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Warnecke |D G. |u 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 |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zahaykah |D Y. |u 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 |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Numerical Mathematics |d Walter de Gruyter |g 11/3(2003-09-01), 235-251 |x 1570-2820 |q 11:3<235 |1 2003 |2 11 |o jnma | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||