Victor Hernández

Víctor Hernández-Santamaría earned his Ph.D. degree in the department of automatic control in CINVESTAV (Mexico), under the supervision of Luz de Teresa (Instituto de Matemáticas, UNAM, México) and Alexander Poznyak (CINVESTAV). His research interests are related to control problems for coupled parabolic equations, especially, those arising in the insensitizing control and hierarchic control problems, both from a theoretical and numerical point of view. He holded a Postdoctoral position at the ERC DyCon Advanced Grant project under the supervision of Prof. Enrique Zuazua.

Author's contribution:

Finite Element approximation of the one-dimensional fractional Laplacian

We describe a FE method for the approximation of the one-dimensional fractional Laplacian $(-d_x^2)^s$ on a uniform mesh discretizing the symmetric interval $(-L,L)$, $L>0$.

Authors: Umberto Biccari, Victor Hernández - 07 June 2019

Interior Control of the Poisson Equation with the Conjugate Gradient Method in OpenFOAM

Authors: José Vicente, Victor Hernández - 03 July 2018

Interior Control of the Heat Equation with the Steepest Descent Method and OpenFOAM

Authors: José Vicente, Victor Hernández - 29 June 2018

Interior Control of the Poisson Equation with the Steepest Descent Method in OpenFOAM

Authors: José Vicente, Victor Hernández - 29 June 2018

Optimal Control of the Poisson Equation with OpenFOAM

In this tutorial, we show how to use the C++ library OpenFOAM (Open Field Operation and Manipulation) in order to solve control problems for partial differential equations (PDE).

Authors: Victor Hernández, José Vicente, Enrique Zuazua - 01 May 2018

Averaged Control

In this work, we address the optimal control of parameter-dependent systems.

Authors: Victor Hernández, José Vicente, Enrique Zuazua - 12 March 2018

Greedy optimal control for elliptic problems and its application to turnpike problems

Turnpike theory and greedy algorithms, applied to the steady-state elliptic control problem, are combined to obtain a greedy approximation of parabolic optimal control problems, independent of the initial data

Authors: Victor Hernández, Martín Lazar, Enrique Zuazua - 01 November 2017