An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow |
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Authors: | Tomás P Barrios Rommel Bustinza |
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Institution: | 1. Departamento de Matem??tica y F??sica Aplicadas, Universidad Cat??lica de la Sant??sima Concepci??n, Casilla 297, Concepci??n, Chile 2. CI2MA and Departamento de Ingenier?? a Matem??tica, Facultad de Ciencias F??sicas y Matem??ticas, Universidad de Concepci??n, Casilla 160-C, Concepci??n, Chile
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Abstract: | In this paper we develop an a posteriori error analysis for an augmented discontinuous Garlerkin formulation applied to the
Darcy flow. More precisely, we derive a reliable and efficient a posteriori error estimator, which consists of residual terms.
Finally, we present several numerical experiments, showing the robustness of the method and the theoretical properties of
the estimator, thus confirming the capability of the corresponding adaptive algorithms to localize the inner layers, the singularities
and/or the large stress regions of the exact solution. |
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Keywords: | |
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