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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 [7] for the equations of plane linear elasticity with mixed boundary conditions. We develop an a posteriori error analysis based on the Ritz projection ...