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Mixed hp-DGFEM for incompressible flows

by D. Schötzau and Ch. Schwab and A. Toselli

(Report number 2002-10)

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.

Keywords: hp-FEM, discontinuous Galerkin methods, Stokes problem

@Techreport{SST02_296,
  author = {D. Sch\"otzau and Ch. Schwab and A. Toselli},
  title = {Mixed hp-DGFEM for incompressible flows},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2002-10},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2002/2002-10.pdf },
  year = {2002}
}

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