Listar por autor "González Taboada, María"
Mostrando ítems 1-16 de 16
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A fully discrete BEM-FEM method for an exterior elasticity system in the plane
González Taboada, María; Meddahi, Salim (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 I: a priori error analysis
González Taboada, María; Gatica, Gabriel N.; Meddahi, Salim (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 low-order mixed finite element method for a class of quasi-Newtonian Stokes flows. Part II: a posteriori error analysis
González Taboada, María; Gatica, Gabriel N.; Meddahi, Salim (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 mixed finite element method for the generalized Stokes problem
González Taboada, María; Bustinza, Rommel; Gatica, Gabriel N. (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 ... -
A posteriori error analysis of an augmented mixed finite element method for Darcy flow
González Taboada, María; Barrios, Tomás P.; Cascón, J. Manuel (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 posteriori error analysis of an augmented mixed formulation in linear elasticity with mixed and Dirichlet boundary conditions
González Taboada, María; Barrios, Tomás P.; Behrens, Edwin M. (Elsevier BV, 2011-01)[Abstract] We develop a residual-based a posteriori error analysis for the augmented mixed methods introduced in and for the problem of linear elasticity in the plane. We prove that the proposed a posteriori error estimators ... -
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
González Taboada, María; Barrios, Tomás P.; Gatica, Gabriel N.; Heuer, Norbert (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 ... -
Adaptive mixed FEM combined with the method of characteristics for stationary convection–diffusion–reaction problems
Antony Oliver, Mary Chriselda; González Taboada, María (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 ... -
Enriched finite element subspaces for dual–dual mixed formulations in fluid mechanics and elasticity
González Taboada, María; Bustinza, Rommel; Gatica, Gabriel N.; Meddahi, Salim; Stephan, Ernest P. (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 ... -
Fully discrete FEM-BEM method for a class of exterior nonlinear parabolic-elliptic problems in 2D
González Taboada, María (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 ... -
Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
González Taboada, María; Barrios, Tomás P.; Behrens, Edwin M. (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 ... -
Numerical Simulation of a Nonlinear Problem Arising in Heat Transfer and Magnetostatics
González Taboada, María; Varela Rodríguez, Hiram (MDPI AG, 2020-08-19)[Abstract] We present a numerical model that comprises a nonlinear partial differential equation. We apply an adaptive stabilised mixed finite element method based on an a posteriori error indicator derived for this ... -
On a FEM--BEM formulation for an exterior quasilinear problem in the plane
González Taboada, María; Meddahi, Salim; Pérez, Pablo (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 ... -
On an adaptive stabilized mixed finite element method for the Oseen problem with mixed boundary conditions
Barrios, Tomás P.; Cascón, J. Manuel; González Taboada, María (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 ... -
On the Adaptive Numerical Solution to the Darcy–Forchheimer Model †
González Taboada, María; Varela Rodríguez, Hiram (MDPI, 2021)[Abstract] We considered a primal-mixed method for the Darcy–Forchheimer boundary value problem. This model arises in fluid mechanics through porous media at high velocities. We developed an a posteriori error analysis of ... -
Stabilized dual-mixed method for the problem of linear elasticity with mixed boundary conditions
González Taboada, María (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 ...