An a Priori Error Analysis of the Localdiscontinuous Galerkin Method for Ellipticproblemspaul Castillo

  • ILARIA PERUGIA z BERNARDO COCKBURN y, AND DOMINIKSCH OTZAU
  • Published 2000
In this paper, we present the rst a priori error analysis for the Local Discontinuous Galerkin method for a model elliptic problem. For arbitrary meshes with hanging nodes and elements of various shapes, we show that, for stabilization parameters of order one, the L 2-norm of the gradient and the L 2-norm of the potential are of order k and k + 1=2… (More)

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