8 citations · 30 across the 11 of their papers we have counts for
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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…
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…
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…
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…