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Artículo
Finite element discretization of the Stokes and Navier-Stokes equations with boundary conditions on the pressure
(Society for Industrial and Applied Mathematics, 2015)
We consider the Stokes and Navier–Stokes equations with boundary conditions of Dirichlet type on the velocity on one part of the boundary and involving the pressure on the rest of the boundary. We write the variational ...
Artículo
A Bochev-Dohrmann-Gunzburger stabilization method for the primitive equations of the ocean
(Elsevier, 2013-04)
We introduce a low-order stabilized discretization of the Primitive Equations of the Ocean, with a highly reduced computational complexity. We prove stability through a specific inf-sup condition, and weak convergence to ...
Artículo
Numerical approximation of a one-dimensional elliptic optimal design problem
(Society for Industrial and Applied Mathematics, 2011)
We address the numerical approximation by finite-element methods of an optimal design problem for a two phase material in one space dimension. This problem, in the continuous setting, due to high frequency oscillations, ...
Artículo
Superconvergence in velocity and pressure for the 3D time-dependent Navier-Stokes equations
(Sociedad Española de Matemática Aplicada, 2012-01)
This work is devoted to the superconvergence in space approximation of a fully discrete scheme for the incompressible time-dependent Navier-Stokes Equations in three-dimensional domains. We discrete by Inf-Sup-stable Finite ...