Title
How accurate is the streamline diffusion finite element method?
Abstract
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
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 Zhou17329.90