CI²MA - Publications | Preprints

Preprint 2018-41

Tomás Barrios, Rommel Bustinza:

An a posteriori error analysis for an augmented DG method applied to Stokes problem

Abstract:

This paper deals with the a posteriori error analysis for an augmented mixed discontinuous formulation for the stationary Stokes problem. By considering an appropriate auxiliary problem, we derive an a posteriori error estimator. We prove that this estimator is reliable and locally efficient, and consists of just ve residual terms. Numerical experiments con rming the theoretical properties of the augmented discontinuous scheme as well as of the estimator. They also show the capability of the corresponding adaptive algorithm to localize the singularities and the large stress regions of the solution, are also reported.

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