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A Comparison of Numerical Techniques for the FEM for the Stokes Problem for Incompressible Flow

  • Ekaterina DementyevaEmail author
  • Evgeniya Karepova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10187)

Abstract

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.

Keywords

Stokes problem FEM Uzawa method BiCGstab 

Notes

Acknowledgements

The work is supported by RFBR (Project 14-01-00296).

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Institute of Computational Modelling of SB RASAkademgorodok, KrasnoyarskRussia
  2. 2.IM&CS, Siberian Federal UniversityKrasnoyarskRussia

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