A simple finite element method for the Stokes equations
Journal Article
·
· Advances in Computational Mathematics
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Univ. of Arkansas, Little Rock, AR (United States)
The goal of this paper is to introduce a simple finite element method to solve the Stokes equations. This method is in primal velocity-pressure formulation and is so simple such that both velocity and pressure are approximated by piecewise constant functions. Implementation issues as well as error analysis are investigated. A basis for a divergence free subspace of the velocity field is constructed so that the original saddle point problem can be reduced to a symmetric and positive definite system with much fewer unknowns. The numerical experiments indicate that the method is accurate.
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE
- Grant/Contract Number:
- AC05-00OR22725
- OSTI ID:
- 1362244
- Journal Information:
- Advances in Computational Mathematics, Vol. 43, Issue 6; ISSN 1019-7168
- Publisher:
- SpringerCopyright Statement
- Country of Publication:
- United States
- Language:
- English
Cited by: 6 works
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