5 citations · 11 across the 5 of their papers we have counts for
6 papers
Direct and indirect operator learning strategies for parametric optimal control problems
Juan J. Forero-Hernández, Francisco Guillén-González, Élder J. Villamizar-Roa
This paper focuses on the use of learning nonlinear operators via Deep Operator Networks (DeepONets) for approximating the solutions of optimal control problems. We study two opera…
Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
In this work, we develop a structure-preserving numerical scheme for a Cahn-Hilliard-Darcy model that describes tumor growth in a fluid-saturated porous medium. First, we derive a…
Optimal control of therapies related to an oxytaxis glioblastoma model
Juan J. Forero-Hernańdez, Francisco Guillén-González, Élder J. Villamizar-Roa
We propose and analyze an optimal control problem associated with a Keller-Segel type parabolic system with chemoattraction, modeling the glioblastoma growth in a bi-dimensional bo…
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez Galván
In this work, we present a modification of the phase-field tumor growth model given in [26] that leads to bounded, more physically meaningful, volume fraction variables. In additio…
An optimal control problem subject to strong solutions of chemotaxis-consumption models
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
We consider a bilinear optimal control problem associated to the following chemotaxis-consumption model in a bounded domain during a time interval :…
Optimal control related to weak solutions of a chemotaxis-consumption model
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
In the present work we investigate an optimal control problem related to the following chemotaxis-consumption model in a bounded domain : $$\partial_t u - Δu…