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

P. Burda, J. Novotný and B. Sousedík
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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

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 681-690 from Springer

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_61

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DOI: 10.1007/978-88-470-2089-4_61

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