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Artículo
A High-Order Local Projection Stabilization Method for Natural Convection Problems
(Springer, 2017-06-05)
In this paper, we propose a local projection stabilization (LPS) finite element method applied to numerically solve natural convection problems. This method replaces the projection-stabilized structure of standard LPS ...
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 ...
Tesis Doctoral
Artículo
Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations
(2023-01-13)
In this work, we introduce a variational multi-scale (VMS) method for the numerical approximation of parabolic problems, where sub-grid scales are approximated from the eigenpairs of associated elliptic operator. The ...
Artículo
A reduced discrete inf-sup condition in Lp for incompressible flows and application
(EDP Sciences, 2015)
In this work, we introduce a discrete specific inf-sup condition to estimate the Lp norm, 1 <p< +∞, of the pressure in a number of fluid flows. It applies to projection-based stabilized finite element discretizations of ...