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Numerical solution of flow problems by stabilized finite element method and verification of its accuracy using a posteriori error estimates

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  • Burda, P.
  • Novotný, J.
  • Šístek, J.

Abstract

2D flow of incompressible viscous fluid with higher Reynolds number is studied. Galerkin least squares technique of stabilization of the finite element method is investigated and its modification is described. A number of numerical results is presented. Properties of stabilization are discussed. Most important part is the study of the accuracy of the stabilized solution by means of a posteriori error estimates.

Suggested Citation

  • Burda, P. & Novotný, J. & Šístek, J., 2007. "Numerical solution of flow problems by stabilized finite element method and verification of its accuracy using a posteriori error estimates," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 28-33.
    • Handle: RePEc:eee:matcom:v:76:y:2007:i:1:p:28-33
    DOI: 10.1016/j.matcom.2007.01.012
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    References listed on IDEAS

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    1. Burda, Pavel & Novotný, Jaroslav & Sousedík, Bedřich, 2003. "A posteriori error estimates applied to flow in a channel with corners," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(3), pages 375-383.
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