Man

Enrique Homero Otarola Pasten

Profesor Asociado

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Santiago, Chile

Líneas de Investigación


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

Educación

  •  Applied Mathematics & Statistics and Scientific Computation (AMSC), UNIVERSITY OF MARYLAND, COLLEGE PARK. Estados Unidos, 2012
  •  Applied Mathematics & Statistics and Scientific Computation (AMSC), UNIVERSITY OF MARYLAND, COLLEGE PARK. Estados Unidos, 2014
  •  Ingeniero Civil Matemático, UNIVERSIDAD TECNICA FEDERICO SANTA MARIA. Chile, 2007

Experiencia Académica

  •   Profesor Asistente Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Chile

    2016 - 2020

  •   Profesor Asociado Full Time

    UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

    Departamento de Matemática

    Chile

    2020 - At present

Experiencia Profesional

  •   Research Associate (Postdoctotal Fellow) Full Time

    University of Maryland, College Park, USA

    College Park, Estados Unidos

    2014 - 2015

  •   Research Associate (Postdoctotal Fellow) Full Time

    Universidad Tecnica Federico Santa Maria

    Chile

    2015 - 2016

Formación de Capital Humano


Daniel Quero, Ingeniero Civil Matemático, UTFSM, 2018.
Francisco Fuica, Magister en Matemáticas, UTFSM, 2018.
Daniel Quero, Magister en Matemáticas, UTFSM, 2019.
Gustavo García, Ingeniero Civil Informático, UTFSM, 2019.
Francisco Fuica, Doctorado en Matemáticas, UTFSM-PUCV-UV, en proceso.
Gilberto Campaña, Doctorado en Matemáticas, UTFSM-PUCV-UV, en proceso.
Daniel Quero, Doctorado en Matemáticas, UTFSM-PUCV-UV, en proceso.
Francisca Roman, Ingeniero Civil Matemático, UTFSM, en proceso.


Difusión y Transferencia


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.



 

Article (44)

Error estimates for the optimal control of a parabolic fractional PDE
The stationary Boussinesq problem under singular forcing
A POSTERIORI ERROR ESTIMATES FOR THE STATIONARY NAVIER-STOKES EQUATIONS WITH DIRAC MEASURES
A weighted setting for the stationary Navier Stokes equations under singular forcing
Adaptive finite element methods for sparse PDE-constrained optimization
An adaptive finite element method for the sparse optimal control of fractional diffusion
Error Estimates for Optimal Control Problems Involving the Stokes System and Dirac Measures
STABILITY OF THE STOKES PROJECTION ON WEIGHTED SPACES AND APPLICATIONS
Stabilized finite element approximations for a generalized Boussinesq problem: A posteriori error analysis
A PDE approach to fractional diffusion: a space-fractional wave equation
A posteriori error estimates for the Stokes problem with singular sources
A PRIORI ERROR ESTIMATES FOR THE OPTIMAL CONTROL OF THE INTEGRAL FRACTIONAL LAPLACIAN
A reaction coefficient identification problem for fractional diffusion
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
Maximum-norm a posteriori error estimates for an optimal control problem
Tensor FEM for Spectral Fractional Diffusion
The Poisson and Stokes problems on weighted spaces in Lipschitz domains and under singular forcing
A POSTERIORI ERROR ESTIMATION FOR A PDE-CONSTRAINED OPTIMIZATION PROBLEM INVOLVING THE GENERALIZED OSEEN EQUATIONS
A posteriori error estimators for stabilized finite element approximations of an optimal control problem
An a posteriori error analysis for an optimal control problem involving the fractional Laplacian
An a posteriori error analysis for an optimal control problem with point sources
Numerical methods for fractional diffusion
Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects
Regularity of solutions to space-time fractional wave equations: A PDE approach
Some applications of weighted norm inequalities to the error analysis of PDE-constrained optimization problems
Sparse Optimal Control for Fractional Diffusion
A PIECEWISE LINEAR FEM FOR AN OPTIMAL CONTROL PROBLEM OF FRACTIONAL OPERATORS: ERROR ANALYSIS ON CURVED DOMAINS
Adaptive finite element methods for an optimal control problem involving Dirac measures
A PDE APPROACH TO SPACE-TIME FRACTIONAL PARABOLIC PROBLEMS
A robust numerical method for a control problem involving singularly perturbed equations
A SPACE-TIME FRACTIONAL OPTIMAL CONTROL PROBLEM: ANALYSIS AND DISCRETIZATION
FINITE ELEMENT APPROXIMATION OF THE PARABOLIC FRACTIONAL OBSTACLE PROBLEM
MULTILEVEL METHODS FOR NONUNIFORMLY ELLIPTIC OPERATORS AND FRACTIONAL DIFFUSION
Piecewise polynomial interpolation in Muckenhoupt weighted Sobolev spaces and applications
A FEM FOR AN OPTIMAL CONTROL PROBLEM OF FRACTIONAL POWERS OF ELLIPTIC OPERATORS
A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis
A PDE approach to fractional diffusion: A posteriori error analysis
Convergence rates for the classical, thin and fractional elliptic obstacle problems
A locking-free scheme for the LQR control of a Timoshenko beam
A superconvergent scheme for a locking-free FEM in a Timoshenko optimal control problem
Numerical approximation of the LQR problem in a strongly damped wave equation
A LOCKING-FREE FEM IN ACTIVE VIBRATION CONTROL OF A TIMOSHENKO BEAM
Approximation of the vibration modes of a Timoshenko curved rod of arbitrary geometry

Proyecto (2)

Numerical analysis of problems involving fractional PDEs and nonsmooth solutions
Numerical fractional diffusion=> A PDE approach, integral formulation, extensions and applications
44
Enrique Otarola

Profesor Asociado

Matemática

UNIVERSIDAD TECNICA FEDERICO SANTA MARIA

Santiago, Chile

13
Enrique Otarola

Assistant Professor

Departamento de Matemática

Universidad Técnica Federico Santa María

Valparaíso, Chile

7
Alejandro Allendes

Assistant Professor

Mathematics

UNIVERSIDAD TÉCNICA FEDERICO SANTA MARÍA

Valparaíso, Chile

6
Erwin Hernandez

Profesor Titular

Departamento de Matemática

Universidad Tecnica Federico Santa María

Valparaíso, Chile

4
Francisco Fuica

Postdoctorado

Facultad de Matemáticas

Pontificia Universidad Católica de Chile

Santiago, Chile

2
Alejandro Allendes

Academic Instructor

Departamento de Matemática

Universidad Tecnica Federico Santa María

Valparaíso, Chile

1
Rodolfo Rodriguez

Full Professor

Ingeniería Matemática

UNIVERSIDAD DE CONCEPCION

Concepción, Chile

1
FRANK SANHUEZA

ACADEMICO

INGENIERIA CIVIL

UNIVERSIDAD CATOLICA DE LA SANTISIMA CONCEPCION

CONCEPCION, Chile