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A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
(E D P Sciences, 2006-09)
[Abstract] In this paper we develop a residual based a posteriori error analysis for an augmented mixed finite element method applied to the problem of linear elasticity in the plane. More precisely, we derive a reliable ...
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 ...
A mixed finite element method for the generalized Stokes problem
(John Wiley & Sons Ltd., 2005-08-03)
[Abstract] We present and analyse a new mixed finite element method for the generalized Stokes problem. The approach, which is a natural extension of a previous procedure applied to quasi-Newtonian Stokes flows, is based ...
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 ...