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On computing the pressure by thep version of the finite element method for Stokes problem

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Summary

This paper introduces and analyzes two ways of extracting the hydrostatic pressure when solving Stokes problem using thep version of the finite element method. When one uses a localH 1 projection, we show that optimal rates of convergence for the pressure approximation is achieved. When the pressure is not inH 1. or the value of the pressure is only needed at a few points, one may extract the pressure pointwise using e.g. a single layer potential recovery. Negative, zero, and higher norm estimates for the Stokes velocity are derived within the framework of thep version of the F.E.M.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Maryland, Baltimore County, 21228, Baítimore, MD, USA

    Soren Jensen

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  1. Soren Jensen
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Partially supported by ONR grants N00014-87-K-0427 and N00014-90-J-1238

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Jensen, S. On computing the pressure by thep version of the finite element method for Stokes problem. Numer. Math. 59, 581–601 (1991). https://doi.org/10.1007/BF01385797

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  • DOI: https://doi.org/10.1007/BF01385797

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