A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems

Authors:
Carlo Lovadina;L. Donatella Marini
Affiliations:
Dipartimento di Matematica, Università di Pavia, and IMATI-CNR, Pavia, Italy 27100;Dipartimento di Matematica, Università di Pavia, and IMATI-CNR, Pavia, Italy 27100
Venue:
Journal of Scientific Computing
Year:
2009

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Abstract

Using the weighted residual formulation we derive a-posteriori estimates for Discontinuous Galerkin approximations of second order elliptic problems in mixed form. We show that our approach allows to include in a unified way all the methods presented so far in the literature.