Presentations

Introducción a la Programación de Elementos Finitos con FreeFem++ y su Aplicación en Mecánica de Fluidos. XXXVI Jornada de Matemática de la Zona Sur. Universidad Católica de Temuco, Chile, April 24 - 26, 2024.
[ pdf | día 1 | día 2 | día 3 ]

Una Breve Introducción al Método de Elementos Finitos con Aplicaciones a Mecánica de Fluidos. Escuela de Matemática Aplicada, Primavera 2023 (EMA-P2023). Magíster en Matemática Aplicada (M2A-UCSC), Universidad Católica de la Santísima Concepción, Chile, November 6 - 9, 2023.
[ pdf | día 1 | día 2 | día 3 | día 4 ]

A Banach space mixed formulation for the unsteady Brinkman problem with spatially varying porosity. (co-author: A.J. Bustos). XXXIV Congreso de Matemáticas Capricornio. Universidad de La Serena, Chile, October 28 - 30, 2026.

Una formulación mixta semi-aumentada para el modelo cuasi-estático de Brinkman-Forchheimer/Darcy. (co-author: J. Esparza). Encuentro GIANuC² 2025: Métodos Numéricos para Sistemas Multifísicos - Teoría y Aplicaciones. Edificio San José Obrero, Universidad Católica de la Santísima Concepción, Chile, October 3, 2025.

A semi-augmented fully mixed FEM for the quasistatic Brinkman-Forchheimer/Darcy model. (co-author: J. Esparza). LSSC 2025, 15th International Conference on Large-Scale Scientific Computations. Special Session on Mathematical and Numerical Modeling of Multiphysics Problems. Bulgarian Red Cross Educational Center in Sozopol, Bulgaria, June 16 - 20, 2025.

A skew-symmetric-based mixed FEM for stationary MHD flows in highly porous media. (co-authors: L. Angelo and J. Camaño). Computational Mathematics Seminar. Department of Mathematics, University of Pittsburgh, USA, February 26, 2025.

Formulación mixta en velocidad-vorticidad-presión para las ecuaciones de Kelvin-Voigt-Brinkman-Forchheimer. (co-author: I. Yotov). Encuentro GIANuC² 2024: Métodos Numéricos para Sistemas Multifísicos - Teoría y Aplicaciones. Edificio San José Obrero, Universidad Católica de la Santísima Concepción, Chile, September 26, 2024.

Velocity-vorticity-pressure mixed formulation for the Kelvin-Voigt-Brinkman-Forchheimer equations. (co-author: I. Yotov). Mathematical Models and Numerical Methods for Multiphysics Systems. O’Hara Student Center, University of Pittsburgh, USA, May 1 - 3, 2024.

A mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem. (co-author: M. Discacciati). WONAPDE 2024, Seventh Chilean Workshop on Numerical Analysis of Partial Differential Equations. Minisymposium: Numerical Methods for Fluid-Membrane Interaction. Universidad de Concepción, Chile, January 15 - 19, 2024.

A mixed FEM for the coupled Brinkman-Forchheimer/Darcy problem. (co-author: M. Discacciati). XXXV Jornada de Matemática de la Zona Sur. Sesión Temática de Análisis Numérico. Universidad de Concepción, Chile, April 19 - 21, 2023.

A vorticity-based mixed formulation for the unsteady Brinkman-Forchheimer equations. (co-authors: V. Anaya, R. Caraballo, L.F. Gatica, R. Ruiz-Baier, and I. Yotov). Computational Mathematics Seminar. Department of Mathematics, University of Pittsburgh, USA, January 17, 2023.

Un método de elementos finitos mixtos para el modelamiento de flujos a través de medios altamente porosos. Escuela de Matemática Aplicada, Primavera 2022 (EMA-P2022). Magíster en Matemática Aplicada (M2A-UCSC), Universidad Católica de la Santísima Concepción, Chile, December 12 - 15, 2022.

A three-field Banach spaces-based mixed formulation for the unsteady Brinkman-Forchheimer equations (co-authors: R. Oyarzúa, S. Villa, and I. Yotov). XXXIV Jornada de Matemática de la Zona Sur. Sesión Temática de Análisis Numérico. Universidad de los Lagos, Chile, April 26 - 29, 2022.

Método de elementos finitos mixtos para el problema no-estacionario de Brinkman-Forchheimer. Escuela de Matemática Aplicada, Primavera 2021 (EMA-P2021). Magíster en Matemática Aplicada (M2A-UCSC), Universidad Católica de la Santísima Concepción, Chile, November 15 - 18, 2021.

A fully-mixed formulation for the steady double-diffusive convection system based upon Brinkman-Forchheimer equations (co-authors: G.N. Gatica, R. Oyarzúa, and N. Sánchez). Seminario de Investigación del Centro de Modelización Matemática - MODEMAT. Escuela Politécnica Nacional, Ecuador, May 27, 2021.

A fully-mixed finite element method for the Stokes-Biot model (co-authors: T. Li and I. Yotov). XXXIII Jornada de Matemática de la Zona Sur. Sesión Temática de Análisis Numérico. Universidad de La Frontera, Chile, April 20 - 24, 2021.

Métodos de Elementos Finitos para Modelos de Interacción Fluido-Estructura Poroelástica. Escuela de Verano en Matemática Aplicada EVMA 2021. Magíster en Matemática Aplicada (M2A-UCSC), Universidad Católica de la Santísima Concepción, Chile, January 11 - 13, 2021.

A Banach space mixed formulation for the unsteady Brinkman-Forchheimer equations (co-author: I. Yotov). Seminario de Análisis Numérico y Modelación Matemática, DMAT-UBB & CI²MA-UdeC. Universidad de Concepción, Chile, October 13, 2020.

A Banach space mixed formulation for the unsteady Brinkman-Forchheimer equations (co-author: I. Yotov). Computational Mathematics Seminar. Department of Mathematics, University of Pittsburgh, USA, January 28, 2020.

A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem (co-authors: M. Discacciati, G.N. Gatica and R. Oyarzúa). SIAM Conference on Mathematical & Computational Issues in the Geosciences (GS19). Minisymposium: Advances in Coupling Surface Flow to Subsurface Systems. Houston Marriot Westchase, Houston, Texas, USA, March 11 - 14, 2019.

A fully-mixed finite element method for the coupling of the Navier-Stokes and Darcy-Forchheimer equations (co-authors: G.N. Gatica and F. Sandoval). Computational Mathematics Seminar. Department of Mathematics, University of Pittsburgh, USA, February 12, 2019.

A fully-mixed finite element method for the coupling of the Navier-Stokes and Darcy-Forchheimer equations (co-authors: G.N. Gatica and F. Sandoval). WONAPDE 2019, Sixth Chilean Workshop on Numerical Analysis of Partial Differential Equations. Minisymposium: Mixed Finite Element Methods for Coupled and Nonlinear Problems. Universidad de Concepción, Chile, January 21 - 25, 2019.

A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem (co-authors: M. Discacciati, G.N. Gatica and R. Oyarzúa). 14th CI²MA Focus Seminar: Finite Element and Related Methods for PDEs in Continuum Mechanics. Universidad de Concepción, Chile, August 27 - 28, 2018.

Analysis of an augmented fully-mixed formulation for the non-isothermal Oldroyd-Stokes problem (co-authors: G.N. Gatica and R. Oyarzúa). Santiago Numérico III, Noveno Encuentro de Análisis Numérico de Ecuaciones Diferenciales Parciales. Pontificia Universidad Católica de Chile, Chile, June 28 - 30, 2017.

A posteriori error analysis for a fully-mixed formulation of the Navier-Stokes/Darcy coupled problem with nonlinear viscosity (co-authors: G.N. Gatica and R. Oyarzúa). Seminario de Estudiantes de Postgrado en Matemática y Ciencias Aplicadas UBB. Universidad del Bío-Bío, Chile, May 31, 2017.

A posteriori error analysis for a fully-mixed formulation of the Navier-Stokes/Darcy coupled problem with nonlinear viscosity (co-authors: G.N. Gatica and R. Oyarzúa). MAFELAP 2016, The Mathematics of Finite Elements and Applications 2016. Minisymposium: Numerical Methods for Viscous Flow in Porous Media. Brunel University London, UK, June 14 - 17, 2016.

A fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity (co-authors: G.N. Gatica, R. Oyarzúa and I. Šebestová). XXIX Jornada de Matemática de la Zona Sur. Sesión Temática de Matemática Aplicada y Análisis Numérico. Universidad de Talca, Chile, April 21 - 23, 2016.

A fully-mixed formulation for the Navier-Stokes/Darcy coupled problem with nonlinear viscosity (co-authors: G.N. Gatica, R. Oyarzúa and I. Šebestová). WONAPDE 2016, Fifth Chilean Workshop on Numerical Analysis of Partial Differential Equations. Minisymposium: Discretization and Solution Techniques for the Coupling of Fluid Flows with Porous Media. Universidad de Concepción, Chile, January 11 - 15, 2016.

Analysis of a mixed finite element method for the Stokes problem with varying density in pseudostress-velocity formulation (co-authors: D. Mora and R. Oyarzúa). Valparaiso Numérico IV, Séptimo Encuentro de Análisis Numérico de Ecuaciones Diferenciales Parciales. Universidad de Valparaiso, Chile, December 11 - 13, 2013.

Analysis of a mixed finite element method for the Stokes problem with varying density in pseudostress-velocity formulation (co-authors: D. Mora and R. Oyarzúa). Seminario de Análisis Numérico y Modelación Matemática, DMAT-UBB & CI²MA-UdeC. Universidad de Concepción, Chile, October 9, 2013.