Research Outputs

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Publication

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

2019, Dr. Barrios-Faúndez, Tomás, Dr. Behrens-Rincón, Edwin, González, María

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.

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Publication

Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity

2014, Dr. Barrios-Faúndez, Tomás, Dr. Behrens-Rincón, Edwin, María González

We consider an augmented mixed finite element method applied to the linear elasticity problem and derive a posteriori error estimators that are simpler and easier to implement than the ones available in the literature. In the case of homogeneous Dirichlet boundary conditions, the new a posteriori error estimator is reliable and locally efficient, whereas for non-homogeneous Dirichlet boundary conditions, we derive an a posteriori error estimator that is reliable and satisfies a quasi-efficiency bound. Numerical experiments illustrate the performance of the corresponding adaptive algorithms and support the theoretical results.