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A priori and a posteriori error analyses of a pseudostress-based mixed formulation for linear elasticity
(Computers and Mathematics with Applications vol.71 no.2 585-614 2016, 2016-01-02)
In this paper we present the a priori and a posteriori error analyses of a non-standard mixed finite element method for the linear elasticity problem with non-homogeneous Dirichlet boundary conditions. More precisely, the ...
A RTk - P-k approximation for linear elasticity yielding a broken H(div) convergent postprocessed stress
(Universidad Nacional, Costa Rica, 2015)
We present a non-standard mixed finite element method for the linear elasticity problem in R-n with non-homogeneous Dirichlet boundary conditions. More precisely, our approach is based on a simplified interpretation of the ...
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 ...
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 ...