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Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow
In this paper we introduce and analyze an augmented mixed finite element method for the twodimensional nonlinear Brinkman model of porous media flow with mixed boundary conditions. More precisely, we extend a previous ...
An a posteriori error analysis of an augmented discontinuous Galerkin formulation for Darcy flow
In this paper we develop an a posteriori error analysis for an augmented discontinuous Garlerkin formulation applied to the Darcy flow. More precisely, we derive a reliable and efficient a posteriori error estimator, ...
On stabilized mixed methods for generalized Stokes problem based on the velocity–pseudostress formulation: A priori error estimates
In this paper we present an augmented mixed formulation applied to generalized Stokes problem and uses it as state equation in an optimal control problem. The augmented scheme is obtained adding suitable least squares terms ...
New fully-mixed finite element methods for the Stokes-Darcy coupling
In this paper we introduce and analyze two new fully-mixed variational formulations for the coupling of fluid flow with porous media flow. Flows are governed by the Stokes and Darcy equations, respectively, and the ...
A residual based a posteriori error estimator for an augmented mixed finite element method in linear elasticity
(EDP Sciences, 2006)
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 and efficient ...