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.
Supported by the EPSR.C (Grant GR/R76615)
Supported by the Swiss National Science Foundation under project PBEZ2-102321
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Houston, P., Schötzau, D., Wihler, T.P. (2004). Mixed hp-Discontinuous Galerkin Finite Element Methods for the Stokes Problem in Polygons. In: Feistauer, M., Dolejší, V., Knobloch, P., Najzar, K. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18775-9_46
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DOI: https://doi.org/10.1007/978-3-642-18775-9_46
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