A Comparison of Numerical Techniques for the FEM for the Stokes Problem for Incompressible Flow
In this paper the two-dimensional Stokes equations are considered for a viscous incompressible fluid in a channel. To construct a discrete problem, we use the Taylor – Hood finite elements. When solving the discrete problem, we are interested in the comparison the stabilized biconjugate gradient method, the Arrow – Hurwicz algorithm, and the Uzawa methods. Moreover, we investigate a new modification of the Uzawa algorithm. The numerical analysis shows that the new algorithm is competitive with the Uzawa and gradient methods.
KeywordsStokes problem FEM Uzawa method BiCGstab
The work is supported by RFBR (Project 14-01-00296).
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