| Tartalom: |
http://real.mtak.hu/21179/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
Robust preconditioning estimates for convection-dominated elliptic
problems via a streamline Poincaré-Friedrichs inequality
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| Létrehozó: |
Axelsson, Owe
Karátson, János
Kovács, Balázs
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| Dátum: |
2014
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| Téma: |
QA74 Analysis / analízis
QA76 Computer software / programozás
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| Tartalmi leírás: |
This paper is devoted to the streamline diffusion finite element method (SD-FEM), combined with equivalent preconditioning, for solving convection-dominated
elliptic problems. The preconditioner is obtained from the streamline diffusion inner product. It is proved that the obtained convergence is robust, i.e. bounded
independently of the perturbation parameter epsilon, for proper convection vector fields.
The key to the estimates is an improved "streamline" Poincaré-Friedrichs inequality.
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| Típus: |
Article
PeerReviewed
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| Formátum: |
text
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| Azonosító: |
Axelsson, Owe and Karátson, János and Kovács, Balázs (2014) Robust preconditioning estimates for convection-dominated elliptic problems via a streamline Poincaré-Friedrichs inequality. SIAM JOURNAL ON NUMERICAL ANALYSIS, 52 (6). pp. 2957-2976. ISSN 0036-1429
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