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International Conference on Numerical Analysis and Its Applications

NAA 2016: Numerical Analysis and Its Applications pp 286–293Cite as

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

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,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.

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References

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Acknowledgements

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

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Authors and Affiliations

  1. Institute of Computational Modelling of SB RAS, 660036, Akademgorodok, Krasnoyarsk, Russia

    Ekaterina Dementyeva & Evgeniya Karepova

  2. IM&CS, Siberian Federal University, Krasnoyarsk, Russia

    Ekaterina Dementyeva & Evgeniya Karepova

Authors
  1. Ekaterina Dementyeva
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  2. Evgeniya Karepova
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Corresponding author

Correspondence to Ekaterina Dementyeva .

Editor information

Editors and Affiliations

  1. Institute of Information and Communication Technologies, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Ivan Dimov

  2. Department of Applied Analysis, Eötvös Loránd University, Budapest, Hungary

    István Faragó

  3. Department of Applied Mathematics and Statistics, University of Rousse, Ruse, Bulgaria

    Lubin Vulkov

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Dementyeva, E., Karepova, E. (2017). A Comparison of Numerical Techniques for the FEM for the Stokes Problem for Incompressible Flow. In: Dimov, I., Faragó, I., Vulkov, L. (eds) Numerical Analysis and Its Applications. NAA 2016. Lecture Notes in Computer Science(), vol 10187. Springer, Cham. https://doi.org/10.1007/978-3-319-57099-0_30

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  • DOI: https://doi.org/10.1007/978-3-319-57099-0_30

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-57098-3

  • Online ISBN: 978-3-319-57099-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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