Browsing by Author "Gatica, Gabriel"
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A mixed virtual element method for the boussinesq problem on polygonal meshes
Gatica, Gabriel; Munar Benitez, Edgar Mauricio; Sequeira, Filander (Global Science Press, 2021)In this work we introduce and analyze a mixed virtual element method (mixed-VEM) for the two-dimensional stationary Boussinesq problem. The continuous formulation is based on the introduction of a pseudostress tensor ... -
Analysis of an Augmented HDG Method for a Class of Quasi-Newtonian Stokes Flows
Gatica, Gabriel; Sequeira, Filánder (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
Gatica, Gabriel; Gatica, Luis; Sequeira, Filander (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 ...