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A simple pressure stabilization method for the Stokes equation.
- Source :
-
Communications in Numerical Methods in Engineering . Nov2008, Vol. 24 Issue 11, p1421-1430. 10p. 1 Diagram, 2 Charts, 2 Graphs. - Publication Year :
- 2008
-
Abstract
- In this paper, we consider a stabilization method for the Stokes problem, using equal-order interpolation of the pressure and velocity, which avoids the use of the mesh size parameter in the stabilization term. We show that our approach is stable for equal-order interpolation in the case of piecewise linear and piecewise quadratic polynomials on triangles. In the case of linear polynomials, we retrieve a well-known idea of using mass lumping as a stabilization mechanism. Copyright © 2007 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10698299
- Volume :
- 24
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Communications in Numerical Methods in Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 35141903
- Full Text :
- https://doi.org/10.1002/cnm.1041