Abstract | ||
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We investigate the optimal accuracy of the streamline diusion nite element method applied to convection{dominated problems. For lin- ear/bilinear elements the theoretical order of convergence given in the liter- ature is either O(h3=2) for quasi{uniform meshes or O(h2) for some uniform meshes. The determination of the optimal order in general was an open pro- blem. By studying a special type of meshes, it is shown that the streamline diusion method may actually converge with any order within this range de- pending on the characterization of the meshes. |
Year | DOI | Venue |
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1997 | 10.1090/S0025-5718-97-00788-6 | Math. Comput. |
Keywords | Field | DocType |
. convection{diusion problems,streamline diusion nite element method,superconvergence.,structured meshes,diffusion finite element method,superconvergence,finite element method,order of convergence | Convection–diffusion equation,Mathematical optimization,Polygon mesh,Mathematical analysis,Superconvergence,Finite element method,Streamline diffusion,Rate of convergence,Numerical analysis,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
66 | 217 | 0025-5718 |
Citations | PageRank | References |
21 | 22.85 | 0 |
Authors | ||
1 |
Name | Order | Citations | PageRank |
---|---|---|---|
Guohui Zhou | 1 | 73 | 29.90 |