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Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
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 ...
On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions
We consider the Oseen problem with nonhomogeneous Dirichlet boundary conditions on a part of the boundary and a Neumann type boundary condition on the remaining part. Suitable least squares terms that arise from the ...
New a posteriori error estimator for an stabilized mixed method applied to incompressible fluid flows
(Applied Mathematics and Computation, 2019-06-15)
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 ...