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Exponential Convergence of Mixed hp-DGFEM for Stokes Flow in Polygons

by D. Schötzau and Th. P. Wihler

(Report number 2002-19)

Abstract
We analyze mixed hp-discontinuous Galerkin finite element methods (DGFEM) for Stokes flow in polygonal domains. In conjunction with geometrically refined meshes and linearly increasing approximation orders, we prove that the hp-DGFEM leads to exponential rates of convergence for piecewise analytic solutions exhibiting singularities near corners.

Keywords: Mixed FEM, hp-DGFEM, Exponential Convergence

@Techreport{SW02_305,
  author = {D. Sch\"otzau and Th. P. Wihler},
  title = {Exponential Convergence of Mixed hp-DGFEM for Stokes Flow in Polygons},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2002-19},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2002/2002-19.pdf },
  year = {2002}
}

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