Computational comparison between the Taylor--Hood and the conforming Crouzeix--Raviart element
- Krahl, Rolf
- Bänsch, Eberhard
2010 Mathematics Subject Classification
- 65N30 76M10
- Taylor-Hood element, Crouzeix-Raviart element, incompressible fluid flow, preconditioners for Quasi-Stokes
This paper is concerned with the computational performance of the P₂ P₁ Taylor-Hood element and the conforming P₂+ P-1 Crouzeix-Raviart element in the finite element discretization of the incompressible Navier-Stokes equations. To this end various kinds of discretization errors are computed as well as the behavior of two different preconditioners to solve the arising systems are studied.
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