Mixed hp-DGFEM for Incompressible Flows

Authors:
Dominik Schötzau;Christoph Schwab;Andrea Toselli
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2002

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Abstract

We consider several mixed discontinuous Galerkin approximations of the Stokes problem and propose an abstract framework for their analysis. Using this framework, we derive a priori error estimates for hp-approximations on tensor product meshes. We also prove a new stability estimate for the discrete divergence bilinear form.