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Adaptive mesh refinement based on a posteriori error estimates for Stokes flow in a 2D problem

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • P. Burda

    (Czech University of Technology, Department of Mathematics)

  • J. Novotný

    (Czech Academy of Sciences, Institute of Thermomechanics)

  • B. Sousedík

    (Czech University of Technology, Department of Mathematics)

Abstract

Summary In the first part of the paper we investigate a posteriori error estimates for the Stokes and Navier-Stokes equations on two-dimensional polygonal domains. Special attention is paid to the sources of the constants in the estimates. Next we present a technique for calculating these constants with high accuracy. In the third part we apply the a posteriori error estimates with the constants found numerically to the technique of adaptive mesh refinement — we present numerical results for an incompressible flow problem in a domain with corners.

Suggested Citation

  • P. Burda & J. Novotný & B. Sousedík, 2003. "Adaptive mesh refinement based on a posteriori error estimates for Stokes flow in a 2D problem," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 681-690, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_61
    DOI: 10.1007/978-88-470-2089-4_61
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