Journal of Scientific Computing

, Volume 46, Issue 2, pp 151–165 | Cite as

Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions

  • Thomas P. Wihler
  • Béatrice Rivière


In this paper we derive an a priori error analysis for interior penalty discontinuous Galerkin finite element discretizations of the Poisson equation with exact solution in W 2,p , p∈(1,2]. We show that the DGFEM converges at an optimal algebraic rate with respect to the number of degrees of freedom.


Elliptic PDE Discontinuous Galerkin methods Low regularity solutions 


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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Mathematics InstituteUniversity of BernBernSwitzerland
  2. 2.Computational and Applied Mathematics DepartmentRice UniversityHoustonUSA

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