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On a FEM--BEM formulation for an exterior quasilinear problem in the plane
(Society for Industrial and Applied Mathematics (SIAM), 2000-05)
[Abstract] We use a version of the FEM--BEM method introduced by Costabel [ Boundary Elements IX, Vol. 1, C. A. Brebbia et al., eds., Springer-Verlag, 1987] and Han [ J. Comput. Math., 8 (1990), pp. 223--232] to discretize ...
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 ...
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 fully discrete BEM-FEM method for an exterior elasticity system in the plane
(Elsevier BV * North-Holland, 2001)
[Abstract] We present a modified version of the usual BEM–FEM coupling for the exterior elasticity problem in the plane (cf. Costabel and Stephan, SIAM J. Numer. Anal. 27 (1990) 1212–1226). This new formulation allows us ...
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 ...
Fully discrete FEM-BEM method for a class of exterior nonlinear parabolic-elliptic problems in 2D
(Elsevier BV * North-Holland, 2006-10)
[Abstract] We considered a nonlinear parabolic equation in a bounded domain of R2 coupled with the Laplace equation in the corresponding exterior region. This kind of problems appears in the modelling of quasi-stationary ...
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 ...
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 ...