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An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method

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Abstract

In this work an a posteriori global error estimate for the Local Discontinuous Galerkin (LDG) applied to a linear second order elliptic problem is analyzed. Using a mixed formulation, an upper bound of the error in the primal variable is derived from explicit computations. Finally, a local adaptive scheme based on explicit error estimators is studied numerically using one dimensional problems.

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Authors and Affiliations

  1. Department of Mathematics, University of Puerto Rico, P.O. Box 9018, 00681-9018, Mayagüez, Puerto Rico, USA

    Paul Castillo

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  1. Paul Castillo
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Correspondence to Paul Castillo.

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Castillo, P. An A Posteriori Error Estimate for the Local Discontinuous Galerkin Method. J Sci Comput 22, 187–204 (2005). https://doi.org/10.1007/s10915-004-4151-7

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  • DOI: https://doi.org/10.1007/s10915-004-4151-7

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