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Exponential convergence of hp-DGFEM for elliptic problems in polyhedral domains

by D. Schötzau and Ch. Schwab and T. Wihler and M. Wirz

(Report number 2012-40)

Abstract
We review the recent results of [21, 22], and establish the exponential convergence of hp-version discontinuous Galerkin finite element methods for the numerical approximation of linear second-order elliptic boundary-value problems with homogeneous Dirichlet boundary conditions and constant coefficients in threedimsional and axiparallel polyhedra. The exponential rates are confirmed in a series of numerical tests.

Keywords:

@Techreport{SSWW12_493,
  author = {D. Sch\"otzau and Ch. Schwab and T. Wihler and M. Wirz},
  title = {Exponential convergence of hp-DGFEM for elliptic problems in polyhedral domains},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2012-40},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2012/2012-40.pdf },
  year = {2012}
}

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