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An error estimate for two-dimensional Stokes driven cavity flow
Author(s):
Zhiqiang
Cai;
Yanqiu
Wang.
Journal:
Math. Comp.
78
(2009),
771-787.
MSC (2000):
Primary 65N15, 65N30, 76D07
Posted:
October 1, 2008
MathSciNet review:
2476559
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References |
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Additional information
Abstract:
Discontinuous velocity boundary data for the lid driven cavity flow has long been causing difficulties in both theoretical analysis and numerical simulations. In finite element methods, the variational form for the driven cavity flow is not valid since the velocity is not in  . Hence standard error estimates do not work. By using only   regularity and constructing a continuous approximation to the boundary data, here we present error estimates for both the velocity-pressure formulation and the pseudostress-velocity formulation of the two-dimensional Stokes driven cavity flow.
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Additional Information:
Zhiqiang
Cai
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Yanqiu
Wang
Affiliation:
Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
DOI:
10.1090/S0025-5718-08-02177-7
PII:
S 0025-5718(08)02177-7
Received by editor(s):
September 13, 2007 and in revised form, May 7, 2008
Posted:
October 1, 2008
Copyright of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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