20 citations · 57 across the 11 of their papers we have counts for
6 papers · 1 filter
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…
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…
Analysis of a chemo-repulsion model with nonlinear production: The continuous problem and unconditionally energy stable fully discrete schemes
F. Guillén-González, María Ángeles Rodríguez Bellido, Diego Armando Rueda Gómez
We consider the following repulsive-productive chemotaxis model: Let , find , the cell density, and , the chemical concentration, satisfying \begin{…
Approximation of Smectic-A liquid crystals
Francisco Guillén-González, Giordano Tierra
In this paper, we present energy-stable numerical schemes for a Smectic-A liquid crystal model. This model involve the hydrodynamic velocity-pressure macroscopic variables $({\bf u…