Numerical methods for PDE’s, Finite element methods, A posteriori error analysis and adaptive procedures for finite element approximations for PDE’s.

Number of undergraduate thesis directed :4
Number of master's thesis co-directed: 3

Students supervised in the last 3 years:
1. Industrial Engineering
Student: Kevin Andrews
Title: Finite element methods for pollution models
Institution: Universidad Técnica Federico Santa María
Codirected with Gilberto Campaña.
Date: In progress
2. Mathematical Engineering
Student: Daniel Quero
Title: A posteriori error analysis for stabilized finite element approximations of an optimal control problem for the Stokes equations
Institution: Universidad Técnica Federico Santa María
Codirected with Dr. Enrique Otárola
Date: In progress
3. Mathematical Engineering and Master of Science
Student: Esteban Cortes
Title: Fully computable error estimation for stabilized finite element methods for time dependent advection–reaction–diffusion problems
Institution: Universidad Técnica Federico Santa María
Date: In progress
3. Mathematical Engineering and Master of Science
Student: Cesar Naranjo
Title: Conservative low-order stabilized finite element methods for a Boussinesq problem
Institution: Universidad Técnica Federico Santa María
Codirected with Dr. Gabriel Barrenechea
Date: In progress

Teaching Experience
Instructor at:
Universidad Técnica Federico Santa María, Santiago - Chile.
Mathematics I
Mathematics II
Mathematics III
Numerical Analysis II
Mathematics Modelling Laboratory I
Numerical Analysis of Partial Differential Equations
Mathematical Principles of Engineering
Mixed Finite Element Methods and Numerical
Methods for Partial Differential Equations.
Numerical Analysis of Partial Differential Equations
Research Seminar II