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Mixed hp-Discontinuous Galerkin Finite Element Methods for the Stokes Problem in Polygons

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Paul Houston

    (University of Leicester, Department of Mathematics)

  • Dominik Schötzau

    (University of British Columbia, Mathematics Department)

  • Thomas P. Wihler

    (University of Minnesota, School of Mathematics)

Abstract

Summary We consider mixed hp-discontinuous Galerkin finite element methods (DGFEM) for Stokes flow in general polygons. In particular, we show that, on geometrically refined meshes, the hp-DGFEM yields exponential rates of convergence for problems with piecewise analytic input data. Numerical results confirming the exponential convergence rates are presented.

Suggested Citation

  • Paul Houston & Dominik Schötzau & Thomas P. Wihler, 2004. "Mixed hp-Discontinuous Galerkin Finite Element Methods for the Stokes Problem in Polygons," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 493-501, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_46
    DOI: 10.1007/978-3-642-18775-9_46
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