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New a posteriori error estimator for an stabilized mixed method applied to incompressible fluid flows

2019, Barrios-Faundez, Tomas, Behrens-Rincon, Edwin, GonzĂ¡lez, MarĂ­a

We consider an augmented mixed finite element method for incompressible fluid flows and develop a simple a posteriori error analysis. We obtain an a posteriori error estimator that is reliable and locally efficient. We provide numerical experiments that illustrate the performance of the corresponding adaptive algorithm and support its use in practice.