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Enriched finite element subspaces for dual–dual mixed formulations in fluid mechanics and elasticity
(Elsevier, 2005)
[Abstract] In this paper we unify the derivation of finite element subspaces guaranteeing unique solvability and stability of the Galerkin schemes for a new class of dual-mixed variational formulations. The approach, which ...
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 ...
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part II: a posteriori error analysis
(Elsevier BV, 2004-03)
[Abstract] This is the second part of a work dealing with a low-order mixed finite element method for a class of nonlinear Stokes models arising in quasi-Newtonian fluids. In the first part we showed that the resulting ...
A low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part I: a priori error analysis
(Elsevier BV, 2004-03)
[Abstract] We present a mixed finite element method for a class of non-linear Stokes models arising in quasi-Newtonian fluids.
Our results include, as a by-product, a new mixed scheme for the linear Stokes equation. The ...
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 ...