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

Paul Houston (), Dominik Schötzau () and Thomas P. Wihler ()
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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

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 493-501 from Springer

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.

Keywords: Discontinuous Galerkin Method; Stoke Flow; Stokes Problem; Exponential Convergence; Interior Edge (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_46

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DOI: 10.1007/978-3-642-18775-9_46

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