Numerical Analysis of Partial Differential Equations; Finite Element Methods; Fractional Diffusion, Degenerate Equations, PDE-constrained optimization; A posteriori error estimates.

1. Daniel Quero, Ingeniero Civil Matemático, UTFSM, 2018.
2. Francisco Fuica, Magister en Matemáticas, UTFSM, 2018.
3. Daniel Quero, Magister en Matemáticas, UTFSM, 2019.
4. Gustavo García, Ingeniero Civil Informático, UTFSM, 2019.
5. Francisco Fuica, Doctorado en Matemáticas, Consorcio de Doctorado UTFSM-PUCV-UV, 2022.
6. Gilberto Campaña, Doctorado en Matemáticas, Consorcio de Doctorado UTFSM-PUCV-UV, 2024.
7. Pablo Muñoz, Magister en Matemáticas, UTFSM, 2024.
8. Matias Sasso, Magister en Matemáticas, UTFSM, 2025.
9. Daniel Quero, Doctorado en Matemáticas, Consorcio de Doctorado UTFSM-PUCV-UV, 2025.
10. Nicolas Valdebenito, Ingeniero Civil Matemático, UTFSM, 2025.
10. Gonzalo Gallardo, Ingeniero Civil Matemático, UTFSM, 2025.

April 2022. Fractional semilinear optimal control: optimality conditions, convergence, and error analysis, Departmental Online Colloquium Talk, The Hong Hong Polytechnic University, Hong Kong, 2022.

September 2021. Analysis and approximation of fluids under singular forcing. Analisis Numerico, VI Congreso Latinoamericano de Matematicos (CLAM), Uruguay, 2021.

September 2021. Fractional semilinear optimal control: optimality conditions, convergence, and error analysis. Recent Results in Optimal Control of Partial Differential Equations and Applications, IFIP TCT, Ecuador, 2021.

July 2021. Metodos numericos para difusion fraccionaria. Conferencia subplenaria, XIX Congreso de Matematica Capricornio, Copiapo, Chile, 2021.

July 2021. Error Estimates for a Pointwise Tracking Optimal Control Problem of a Semilinear Elliptic Equation. Estimation and Control of PDE Systems, SIAM Conference on Control and Its Applications (CT21), EE.UU, 2021.

August 2019. Error estimates for optimal control problems involving Dirac measures. Seminario del Instituto de Ingenieria Matematica y Computacional UC, Pontificia Universidad Catolica de Chile, Santiago.

July, 2019. A posteriori error estimates for optimal control problems involving Dirac measures. ICIAM 2019, International Congress on Industrial and Applied Mathematics, Valencia. Minisimposia: Control, Optimization, and Numerical Methods for Infinite Dimensional Systems.

July, 2019. Tensor FEM for spectral fractional diffusion. ICIAM 2019, International Congress on Industrial and Applied Mathematics, Valencia. Minisimposia: Advances in Fractional Partial Differential Equations: Modeling, Theory and Computation.

June 2017, Santiago Numérico III, Optimization with respect to order in a fractional diffusion model: analysis and approximation, Pontificia Universidad Católica de Chile, Chile.

Mar. 2017, Oberwolfach Workshop: Space-time Methods for Time-dependent Partial Differential Equations, A PDE approach to space-time fractional parabolic problems, Oberwolfach, Germany.

Jan. 2016, WONAPDE, Minysimposia: Adaptivity in Numerical PDE, Adaptive finite element methods for an optimal control problems involving Dirac measures, Universidad de Concepción, Chile.

Jan. 2016, WONAPDE, Minysimposia: Numerical Methods for Nonlocal problems, A PDE approach to space-time fractional parabolic problems, Universidad de Concepción, Chile

Feb. 2016, Computational/Applied Math Seminar, Adaptive finite element methods for optimal control problems involving Dirac measures, University of Tennessee, USA.

Dec. 2015, Segunda Escuela de Control y Optimización, A FEM for an optimal control problem of fractional powers of elliptic operators, Universidad Técnica Federico Santa María, Chile.

Oct. 2015, Seminario del Departamento de Matemática, A PDE approach to numerical fractional diffusion, Universidad Técnica Federico Santa María, Chile.

Aug. 2015, XXIV Congreso de Matemática Capricornio, A PDE approach to space-time fractional parabolic problems, Universidad Arturo Prat, Iquique, Chile.

May 2015, DelMar Numerics Day, Piecewise polynomial interpolation in weighted Sobolev spaces and applications to optimal control problems, U.S. Naval Academy, Annapolis, USA.

May 2015, ITL Applied and Computational Mathematics Division seminar, A PDE approach to fractional diffusion, National Institute of Standards and Technology (NIST), USA.

Apr. 2015, Differential Equations Seminar, A PDE approach to numerical fractional diffusion, University of Maryland Baltimore County, USA.

Mar. 2015, Finite Element Circus, A PDE approach to space-time fractional parabolic problems, George Mason University, USA.

Mar. 2015, NumeriWaves Seminar, A PDE approach to numerical fractional diffusion, Basque center for applied mathematics, Spain.

Mar. 2015, Fakultät für Mathematik Seminar, A PDE approach to numerical fractional diffusion, Technische Universität München, Germany.

Mar. 2015, Workshop on Numerical Methods for Optimal Control and Inverse Problems, A FEM for an optimal control problem of fractional powers of elliptic operators, Technische Universität München, Germany.

Jan. 2015, Charla de Matematicas, A PDE approach to numerical fractional diffusion, Pontificia Universidad Católica de Chile, Chile.

Oct. 2014, Finite Element Circus, Convergence rates for the elliptic fractional obstacle problem, University of Minnesota, USA.

May 2014, DelMar Numerics Day, A PDE approach to space-time fractional parabolic problems, University of Maryland, Baltimore County, USA.

May 2014, Numerical Analysis Seminar, A PDE approach to space-time fractional parabolic problems, University of Maryland, College Park, USA.

Feb. 2014, Computational/Applied Math Seminar, A PDE approach to numerical fractional diffusion, Department of Mathematics, University of Tennessee, USA.

Jan. 2014, Applied and Computational Math Seminar, A PDE approach to numerical fractional diffusion, Department of Mathematics, George Mason University, USA.

Oct. 2013, Finite Element Circus, A PDE approach to fractional diffusion: a priori error estimates, University of Delaware, USA.

Aug. 2013, Seminario del Departamento de Matemática, A PDE approach to numerical fractional diffusion, Universidad Técnica Federico Santa María, Chile.

Aug. 2013, Charla de Matematicas, A PDE approach to numerical fractional diffusion, Pontificia Universidad Católica de Chile, Chile.

May 2013, Scientific Computing Group Seminar, A PDE approach for fractional diffusion: A priori and a posteriori error analysis, Division of Applied Mathematics, University of Brown, USA.

Mar. 2013, Numerical Analysis Seminar, A PDE approach for fractional diffusion: A priori and a posteriori error analysis, University of Maryland, College Park, USA.

Jan. 2013, WONAPDE Minysimposia: Mathematical Aspects of Finite Element Methods, A PDE approach for fractional diffusion: a priori and a posteriori error analysis, Universidad de Concepción, Chile.

Aug. 2012, 7th Zürich Summer School, A PDE approach for fractional diffusion: a priori and a posteriori error analysis, University of Zürich, Switzerland.

Apr. 2012, DelMar Numerics Day, A FEM for the fractional Laplace operator, University of Delaware, USA.

Oct. 2011, Finite Element Circus, A FEM for the fractional Laplace operator, University of Connecticut, USA.