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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 ...
An a posteriori error analysis of a velocity-pseudostress formulation of the generalized Stokes problem
(Journal of Computational and Applied Mathematics, 2019-03-05)
We consider a stabilized mixed finite element method introduced recently for the generalized Stokes problem. The method is obtained by adding suitable least squares terms to the dual-mixed variational formulation of the ...
A posteriori error analysis of an augmented dual-mixed method in linear elasticity with mixed boundary conditions
(International Journal of Numerical Analysis and Modeling, 2019-08)
We consider the augmented mixed finite element method introduced in  for the equations of plane linear elasticity with mixed boundary conditions. We develop an a posteriori error analysis based on the Ritz projection ...