20 citations · 43 across the 6 of their papers we have counts for
10 papers
An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
The well-suited discretization of the Keller-Segel equations for chemotaxis has become a very challenging problem due to the convective nature inherent to them. This paper aims to…
Convergence of a time discrete scheme for a chemotaxis-consumption model
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
In the present work we propose and study a time discrete scheme for the following chemotaxis-consumption model (for any ), $$ \partial_t u - Δu = - \nabla \cdot (u \nabla v…
Bilinear optimal control for weak solutions of the Keller-Segel logistic model in domains
P. Braz e Silva, F. Guillén-González, C. F. Perusato +1
An optimal control problem associated to the Keller-Segel with logistic reaction system will be studied in domains. The control acts in a bilinear form only in the chemical eq…
Finite Element numerical schemes for a chemo-attraction and consumption model
F. Guillén-González, G. Tierra
This work is devoted to design and study efficient and accurate numerical schemes to approximate a chemo-attraction model with consumption effects, which is a nonlinear parabolic s…
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In…
Determining parameters giving different growths of a new Glioblastoma differential model
A. Fernández-Romero, F. Guillén-González, A. Suárez
In this paper we analyse a differential system related to a Glioblastoma growth. Using numerical simulations, we prove that model captures different kind of growth changing adequat…