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Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
(Elsevier BV * North-Holland, 2014)
[Abstract] 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 ...
Stabilized dual-mixed method for the problem of linear elasticity with mixed boundary conditions
(Pergamon Press, 2014-04)
[Abstract] We extend the applicability of the augmented dual-mixed method introduced recently in Gatica (2007), Gatica et al. (2009) to the problem of linear elasticity with mixed boundary conditions. The method is based ...
A posteriori error analysis of an augmented mixed finite element method for Darcy flow
(Elsevier BV, 2015-01)
[Abstract] We develop an a posteriori error analysis of residual type of stabilized mixed finite element method for Darcy flow. The stabilized formulation is obtained by adding to the standard dual-mixed approach suitable ...
On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions
(Elsevier BV, 2020-06-15)
[Abstract] 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 ...