WIAS Preprint No. 989, (2004)

Computational comparison between the Taylor--Hood and the conforming Crouzeix--Raviart element



Authors

  • Krahl, Rolf
  • Bänsch, Eberhard

2010 Mathematics Subject Classification

  • 65N30 76M10

Keywords

  • Taylor-Hood element, Crouzeix-Raviart element, incompressible fluid flow, preconditioners for Quasi-Stokes

DOI

10.20347/WIAS.PREPRINT.989

Abstract

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.

Appeared in

  • A. Handlovičová, Z. Krivá, K. Mikula und D. Ševčovič, Hrsg., ALGORITMY 2005 - 17th Conference on Scientific Computing. Slovak University of Technology, Bratislava, 2005, S. 369-379.

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