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

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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.

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  1. Dipartimento di Matematica, Università di Pavia, and IMATI-CNR, Via Ferrata 1, Pavia, 27100, Italy

    Carlo Lovadina & L. Donatella Marini

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  1. Carlo Lovadina
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  2. L. Donatella Marini
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Correspondence to L. Donatella Marini.

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Lovadina, C., Marini, L.D. A-Posteriori Error Estimates for Discontinuous Galerkin Approximations of Second Order Elliptic Problems. J Sci Comput 40, 340–359 (2009). https://doi.org/10.1007/s10915-009-9286-0

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  • DOI: https://doi.org/10.1007/s10915-009-9286-0

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