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A priori and a posteriori error analyses of an HDG method for the Brinkman problem
(Elsevier, 2018-01-15)
In this paper we introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the linear Brinkman model of porous media flow in two and three dimensions and with non-homogeneous Dirichlet boundary conditions. ...
Analysis of an augmented pseudostress-based mixed formulation for a nonlinear Brinkman model of porous media flow
(Elsevier, 2015)
In this paper we introduce and analyze an augmented mixed finite element method for the two-dimensional nonlinear Brinkman model of porous media flow with mixed boundary conditions. More precisely, we extend a previous ...