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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 ...
Adaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problems
(Elsevier B.V., 2023-12-01)
[Abstract]: We consider a stationary convection–diffusion–reaction model problem in a two- or three-dimensional bounded domain. We approximate this model by a non-stationary problem and propose a numerical method that ...