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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 HDG Method for a Class of Quasi-Newtonian Stokes Flows
(Springer, 2015)
In this paper we introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for numerically solving a class of nonlinear Stokes models arising in quasi-Newtonian fluids. Similarly as in previous papers dealing ...