Man

Francisco Javier Fuica Villagra

Postdoctorado

Pontificia Universidad Católica de Chile

Santiago, Chile

Líneas de Investigación


Numerical Analysis of Partial Differential Equations; Finite Element Methods; PDE-constrained optimization; PDEs with singular source

Educación

  •  Doctor en Matemática, UNIVERSIDAD TECNICA FEDERICO SANTA MARIA. Chile, 2022
  •  Magister en Cs. mención Matemática, UNIVERSIDAD TECNICA FEDERICO SANTA MARIA. Chile, 2018
  •  Licenciado en Matemáticas, PONTIFICIA UNIVERSIDAD CATOLICA DE VALPARAISO. Chile, 2015

Experiencia Académica

  •   Postdoctorante Full Time

    PONTIFICIA UNIVERSIDAD CATOLICA DE CHILE

    Facultad de Matemáticas

    Santiago, Chile

    2023 - At present

Difusión y Transferencia


Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation. European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) (2023), Lisboa, Portugal.

Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation. Coloquio para estudiantes de Postgrado en Matemática y Ciencias Aplicadas de la Universidad del Bio-Bio. (2023), Concepción, Chile.

A posteriori error estimates for a distributed optimal control problem of the stationary Navier–Stokes equations. XXXV Jornada de Matemática de la Zona Sur (2023), Concepción, Chile.

A posteriori error estimates for a distributed optimal control problem of the stationary Navier–Stokes equations. Encuentro anual SOMACHI (2022), El Quisco, Chile.

Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation. XLVIII Semana de la Matemática (2022), Valparaíso, Chile.

Adaptive finite element methods for sparse PDE-constrained optimization. IFIP TC7 Conference on System Modelling and Optimization (2021), Quito, Ecuador.

Error estimates for a pointwise tracking optimal control problem of a semilinear elliptic equation. XXXIII Jornada de Matemática de la Zona Sur (2021), Temuco, Chile.

A posteriori error estimates for nonlinear optimal control problems. Seminar on Numerical Analysis and Applied Mathematics at Valparaíso, IMA-PUCV (2020), Valparaíso, Chile.

A posteriori error estimates in W1,p × Lp spaces for the Stokes system with Dirac measures. SUMA - Reunión anual de la UMA junto a la SOMACHI (2019), Mendoza, Argentina.

Adaptive finite element methods for the pointwise tracking optimal control problem of the Stokes equations. Sixth Chilean WONAPDE (2019), Concepción, Chile.

An a posteriori error analysis of an elliptic optimal control problem in measure space. Encuentro anual SOMACHI (2018), Rancagua, Chile.

Adaptive finite element methods for sparse optimal control problems. XXXI Jornada de Matema ?tica de la Zona Sur (2018), Valdivia, Chile.



 

Article (10)

An Optimal Control Problem for the Navier-Stokes Equations with Point Sources
A Posteriori Error Estimates for an Optimal Control Problem with a Bilinear State Equation
ERROR ESTIMATES FOR A POINTWISE TRACKING OPTIMAL CONTROL PROBLEM OF A SEMILINEAR ELLIPTIC EQUATION
<i>A posteriori</i> error estimates for semilinear optimal control problems
A POSTERIORI ERROR ESTIMATES FOR A DISTRIBUTED OPTIMAL CONTROL PROBLEM OF THE STATIONARY NAVIER-STOKES EQUATIONS
A posteriori error estimates in <i>W</i><SUP>1,<i>p</i></SUP> X L<i><SUP>p</SUP></i> spaces for the Stokes system with Dirac measures
Adaptive finite element methods for sparse PDE-constrained optimization
Error Estimates for Optimal Control Problems Involving the Stokes System and Dirac Measures
An a posteriori error analysis of an elliptic optimal control problem in measure space
AN ADAPTIVE FEM FOR THE POINTWISE TRACKING OPTIMAL CONTROL PROBLEM OF THE STOKES EQUATIONS

Proyecto (1)

Adaptive finite element methods for sparse PDE-constrained optimization
10
Francisco Fuica

Postdoctorado

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

4
Enrique Otarola

Profesor Asociado

Matemática

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Santiago, Chile

1
Alejandro Allendes

Assistant Professor

Mathematics

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile