| Автор | Baranger, Jacques |
| Автор | Machmoum, Ahmed |
| Дата выпуска | 1999 |
| dc.description | We consider the numerical approximation of a first order stationary hyperbolic equation by the method of characteristics with pseudo time step k using discontinuous finite elements on a mesh ${\cal T}_h$. For this method, we exhibit a “natural” norm || ||<sub>h,k</sub> for which we show that the discrete variational problem $P_h^k$ is well posed and we obtain an error estimate. We show that when k goes to zero problem $(P_h^k)$ (resp. the || ||<sub>h,k</sub> norm) has as a limit problem (P <sub> h </sub>) (resp. the || ||<sub>h</sub> norm) associated to the Galerkin discontinuous method. This extends to two and three space dimension our previous results obtained in one space dimension. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 1999 |
| Тема | Method of characteristics |
| Тема | discontinuous finite elements |
| Тема | advection equation. |
| Название | A “Natural” Norm for the Method of Characteristics Using Discontinuous Finite Elements : 2D and 3D case |
| Тип | research-article |
| DOI | 10.1051/m2an:1999142 |
| Electronic ISSN | 1290-3841 |
| Print ISSN | 0764-583X |
| Журнал | ESAIM: Mathematical Modelling and Numerical Analysis |
| Том | 33 |
| Первая страница | 1223 |
| Последняя страница | 1240 |
| Аффилиация | Baranger Jacques; MCS, Université Lyon 1, 43 bd. du 11 Novembre 1918, 69622 Villeurbanne Cedex, France. baranger@lan.univ-lyon1.fr. |
| Аффилиация | Machmoum Ahmed; Équipe de Modélisation, Équations aux Dérivées Partielles et Analyse Numérique, Université Hassan 2, Faculté des sciences et techniques Mohammedia, B.P 146, 20650 Morocco. machmoum@deneb.uh2m.ac.ma. |
| Выпуск | 6 |
