Abstract
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.
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B. Rivière research was partially supported by NSF grant DMS 0810422.
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Wihler, T.P., Rivière, B. Discontinuous Galerkin Methods for Second-Order Elliptic PDE with Low-Regularity Solutions. J Sci Comput 46, 151–165 (2011). https://doi.org/10.1007/s10915-010-9387-9
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DOI: https://doi.org/10.1007/s10915-010-9387-9