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A Priorierror analyses of a stabilized discontinuous Galerkin method

Authors
Journal
Computers & Mathematics with Applications
0898-1221
Publisher
Elsevier
Publication Date
Volume
46
Identifiers
DOI: 10.1016/s0898-1221(03)90220-3
Keywords
  • Discontinuous Galerkin Methods
  • A Priorierror Estimation

Abstract

Abstract We introduce a new stabilized discontinuous Galerkin method within a new function space setting, that is closely related to the discontinuous Galerkin formulation by Oden, Babuška and Baumann [1], but involves an extra stabilization term on the jumps of the normal fluxes across the element interfaces. The formulation satisfies a local conservation property and we prove well posedness of the new formulation. A priori error estimates are derived, which are verified by 1D and 2D experiments on a reaction-diffusion type model problem.

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