A simple finite element method for the Stokes equations |
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Authors: | Lin Mu Xiu Ye |
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Institution: | 1.Computer Science and Mathematics Division, Oak Ridge National Laboratory,Oak Ridge,USA;2.Department of Mathematics,University of Arkansas at Little Rock,Little Rock,USA |
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Abstract: | 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. |
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