8 citations · 30 across the 11 of their papers we have counts for
13 papers
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility
Francisco Guillen-Gonzalez, Giordano Tierra
Two new numerical schemes to approximate the Cahn-Hilliard equation with degenerate mobility (between stable values 0 and 1) are presented, by using two different non-centered appr…
Uniform in time solutions for a chemotaxis with potential consumption model
A. L. Corrêa Vianna Filho, Francisco Guillén-González
In this work we investigate the following chemo-attraction with consumption model in bounded domains of \, (): $$ \partial_t u - Δu = - \nabla \cdot (u \nab…
Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature
A. Fernández-Romero, F. Guillén-González, A. Suárez
In this work we analyse a PDE-ODE problem modelling the evolution of a Glioblastoma, which includes an anisotropic nonlinear diffusion term with a diffusion velocity increasing wit…
On a bi-dimensional chemo-repulsion model with nonlinear production
Francisco Guillén-González, Exequiel Mallea-Zepeda, Élder J. Villamizar-Roa
In this paper, we study the following parabolic chemo-repulsion with nonlinear production model: $$ \left\{ \begin{array}{rcl} \partial_tu-Δu&=&\nabla\cdot(u\nabla v),\\ \partial_t…
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Diego Armando Rueda-Gómez
This work is devoted to study unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: Find , the ce…
Optimal bilinear control problem related to a chemo-repulsion system in 2D domains
Francisco Guillén González, Exequiel Mallea-Zepeda, María Ángeles Rodríguez-Bellido
In this paper we study a bilinear optimal control problem associated to a chemo-repulsion model with linear production term. We analyze the existence, uniqueness and regularity of…
From a cell model with active motion to a Hele-Shaw-like system. A numerical approach
Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
In this paper we deal with the numerical solution of a Hele--Shaw-like system via a cell model with active motion. Convergence of approximations is established for well-posed initi…
Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditional energy-stable fully discrete scheme
F. Guillén-González, M. A. Rodríguez-Bellido, D. A. Rueda-Gómez
This work is devoted to the study of a fully discrete scheme for a repulsive chemotaxis with quadratic production model. By following the ideas presented in [Guilen-Gonzalez et al]…
Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes
F. Guillén-González, M. A. Rodríguez-Bellido, D. A. Rueda-Gómez
We consider a chemo-repulsion model with quadratic production in a bounded domain. Firstly, we obtain global in time weak solutions, and give a regularity criterion (which is satis…
A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching
R. C. Cabrales, F. Guillén-González, J. V. Gutiérrez-Santacreu
A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic liquid crystal fluid with stretching effect, which takes into…
Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model
Blanca Climent-Ezquerra, Francisco Guillén-González
In this paper, we introduce a model describing the dynamic of vesicle membranes within an incompressible viscous fluid in domains. The system consists of the Navier-Stokes equ…
Optimal first-order error estimates of a fully segregation scheme for the Navier-Stokes equations
F. Guillén-González, M. V. Redondo-Neble
A first-order linear fully discrete scheme is studied for the incompressible time-dependent Navier-Stokes equations in three-dimensional domains. This scheme, based on an increment…
Convergence and error estimates of a viscosity-splitting finite-element scheme for the Primitive Equations
F. Guillén-González, M. V. Redondo-Neble
The purpose of this paper is the numerical analysis of a first order fractional-step time-scheme, using decomposition of theviscosity, and "inf-sup" stable finite element space-app…