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Recursos

Proyectos/Publicaciones

New mixed finite element methods for natural convection with phase-change in porous media.

M. Álvarez, G. Gatica, B. Gómez-Vargas, and R. Ruiz-Baier.  New mixed finite element methods for natural convection with phase-change in porous media. Journal of Scientific Computing, vol. 80, pp. 141-174, (2019).
M. Álvarez, G. Gatica, B. Gómez-Vargas, and R. Ruiz-Baier. 2019
Stability and finite element approximation of phase change models for natural convection in porous media.

J. Woodfield, M. Álvarez, B. Gómez-Vargas, and R. Ruiz-Baier. Stability and finite element approximation of phase change models for natural convection in porous media. Journal of Computational and Applied Mathematics, vol. 360, pp.117-137, (2019).
J. Woodfield, M. Álvarez, B. Gómez-Vargas, and R. Ruiz-Baier. 2019
A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems.

M. Álvarez, G.N. Gatica and R. Ruiz-Baier.  A posteriori error estimation for an augmented mixed-primal method applied to sedimentation-consolidation systems. Journal of Computational Physics, vol. 367, pp. 322- 346, (2018).
M. Álvarez, G.N. Gatica and R. Ruiz-Baier. 2018
Stability of a second-order method for phase change in porous media flow

M. Álvarez, B. Gómez-Vargas, R. Ruiz-Baier and J. Woodfield.  Stability of a second-order method for phase change in porous media flow. Proceedings in Applied Mathematics and Mechanics, 25 April, (2018).
M. Álvarez, B. Gómez-Vargas, R. Ruiz-Baier and J. Woodfield.
A posteriori error analysis of a fully-mixed formulation for the Brinkman-Darcy problem.

M. Álvarez, G.N. Gatica and R. Ruiz-Baier.  A posteriori error analysis of a fully-mixed  formulation for the Brinkman-Darcy problem. Calcolo, vol.54, 4, pp. 1491- 1519, (2017).
M. Álvarez, G.N. Gatica and R. Ruiz-Baier. 2017
Analysis of a vorticity-based fully-mixed formulation for 3D Brinkman-Darcy problem.

M. Álvarez, G.N. Gatica and R. Ruiz-Baier.  Analysis of a vorticity-based fully-mixed formulation for 3D Brinkman-Darcy problem. Computer Methods in Applied Mechanics and Engineering, vol. 307, pp. 68-95, (2016).
M. Álvarez, G.N. Gatica and R. Ruiz-Baier. 2016
A posteriori error analysis for a viscous flow-transport problem.

M. Álvarez, G.N. Gatica and R. Ruiz-Baier.  A posteriori error analysis for a viscous flow-transport problem. ESAIM: Mathematical Modeling and Numerical Analysis, vol. 50, 6, pp. 1789-1816, (2016).


 
M. Álvarez, G.N. Gatica and R. Ruiz-Baier. 2016
A mixed-primal finite element approximation of a sedimentation-consolidation system.

M. Álvarez, G.N. Gatica and R. Ruiz-Baier.  A mixed-primal finite element approximation of a sedimentation-consolidation system. M3AS: Mathematical Models and Methods in Applied Sciences, vol. 26, 5, pp. 867-900, (2016).
M. Álvarez, G.N. Gatica and R. Ruiz-Baier. 2016
An augmented mixed-primal finite element method for a coupled flow-transport problem.

M. Álvarez, G.N. Gatica and R. Ruiz-Baier.  An augmented mixed-primal finite element method for a coupled flow-transport problem. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 49, 5, pp. 1399-1427, (2015).
M. Álvarez, G.N. Gatica and R. Ruiz-Baier. 2015
Análisis y Simulación Numérica de Fenómenos con Aplicaciones Biológicas y Biomecánicas.

Proyecto de Investigación inscrito en la Universidad de Costa Rica: Análisis y Simulación Numérica de Fenómenos con Aplicaciones Biológicas y Biomecánicas. Actualmente se encuentra en desarrollo.