Superconvergence analysis of the SDFEM for elliptic problems with characteristic layers
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
Abstract
In this paper we analyse the superconvergence property of the streamline diffusion finite element method (SDFEM) in the case of elliptic problems with characteristic layers. For the SDFEM we give optimal parameter choices for maximal stability in the induced streamline diffusion norm. It is shown that inside the parabolic boundary layer the SDFEM-parameter can be chosen of order ε- 1 / 4 N-2 which is also confirmed by numerical results.
Details
Originalsprache | Englisch |
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Seiten (von - bis) | 1818-1829 |
Seitenumfang | 12 |
Fachzeitschrift | Applied numerical mathematics |
Jahrgang | 58 |
Ausgabenummer | 12 |
Publikationsstatus | Veröffentlicht - Dez. 2008 |
Peer-Review-Status | Ja |
Externe IDs
Scopus | 52949123703 |
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ORCID | /0000-0002-2458-1597/work/142239741 |
Schlagworte
Schlagwörter
- Characteristic layers, Convection-diffusion problems, Numerical analysis, Streamline-diffusion method, Superconvergence, elliptic problem