An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow

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Date
2015Author
Barrios Faúndez, Tomás
Bustinza, Rommel
Publisher
SpringerDescription
Artículo de publicación ISIMetadata
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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.