Francisco Guillén-González

Publication Activity (10 Years)

Years Active: 2005-2024
Publications (10 Years): 29

Top Topics

Numerical Scheme

Top Venues

Comput. Math. Appl.

SIAM J. Numer. Anal.

Numerische Mathematik

Publications

Francisco Guillén-González, Giordano Tierra
Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility. Comput. Math. Appl. 172 (2024)
Francisco Guillén-González, Giordano Tierra
Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility. CoRR (2024)
Francisco Guillén-González, Giordano Tierra
Finite element numerical schemes for a chemo-attraction and consumption model. J. Comput. Appl. Math. 441 (2024)
André Luiz Corrêa Vianna Filho, Francisco Guillén-González
A Review on the Analysis and Optimal Control of Chemotaxis-Consumption Models. CoRR (2024)
Daniel Acosta-Soba, Francisco Guillén-González, José Rafael Rodríguez-Galván
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model. Numer. Algorithms 92 (3) (2023)
Daniel Acosta-Soba, Francisco Guillén-González, José Rafael Rodríguez-Galván
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model. CoRR (2023)
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
An Optimal Control Problem Subject to Strong Solutions of Chemotaxis-Consumption Models. SIAM J. Control. Optim. 61 (5) (2023)
Daniel Acosta-Soba, Francisco Guillén-González, José Rafael Rodríguez-Galván
An Unconditionally Energy Stable and Positive Upwind DG Scheme for the Keller-Segel Model. J. Sci. Comput. 97 (1) (2023)
Daniel Acosta-Soba, Francisco Guillén-González, José Rafael Rodríguez-Galván, Jin Wang
Property-preserving numerical approximations of a Cahn-Hilliard-Navier-Stokes model with variable densities and degenerate mobility. CoRR (2023)
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
Convergence of a Time Discrete Scheme for a Chemotaxis-Consumption Model. SIAM J. Numer. Anal. 61 (5) (2023)
Daniel Acosta-Soba, Francisco Guillén-González, José Rafael Rodríguez-Galván
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model. Comput. Math. Appl. 152 (2023)
Daniel Acosta-Soba, Francisco Guillén-González, José Rafael Rodríguez-Galván
An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model. CoRR (2022)
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
Convergence of a time discrete scheme for a chemotaxis-consumption model. CoRR (2022)
Daniel Acosta-Soba, Francisco Guillén-González, N. Ortega-Román, José Rafael Rodríguez-Galván
Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb. CoRR (2022)
Francisco Guillén-González, M. A. Rodríguez-Bellido, Diego Armando Rueda-Gómez
A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes. Adv. Comput. Math. 47 (6) (2021)
Francisco Guillén-González, Giordano Tierra
Finite Element numerical schemes for a chemo-attraction and consumption model. CoRR (2021)
Antonio Fernández-Romero, Francisco Guillén-González, A. Suárez
A Glioblastoma PDE-ODE model including chemotaxis and vasculature. CoRR (2021)
Francisco Guillén-González, M. Victoria Redondo-Neble, José Rafael Rodríguez-Galván
Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem. J. Num. Math. 29 (2) (2021)
Daniel Acosta-Soba, Francisco Guillén-González, José Rafael Rodríguez-Galván
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model. CoRR (2021)
Bianca M. Calsavara, Francisco Guillén-González
Existence of Global-in-Time Weak Solutions for a Solidification Model with Convection in the Liquid and Rigid Motion in the Solid. SIAM J. Math. Anal. 52 (6) (2020)
Francisco Guillén-González, M. A. Rodríguez-Bellido, Diego Armando Rueda-Gómez
Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes. Comput. Math. Appl. 80 (5) (2020)
Antonio Fernández-Romero, Francisco Guillén-González, Antonio Suárez
Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature. CoRR (2020)
Francisco Guillén-González, Exequiel Mallea-Zepeda, María Ángeles Rodríguez-Bellido
A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem. SIAM J. Control. Optim. 58 (3) (2020)
Francisco Guillén-González, M. A. Rodríguez-Bellido, Diego Armando Rueda-Gómez
Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditionally energy-stable fully discrete scheme. Comput. Math. Appl. 80 (5) (2020)
Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
From a cell model with active motion to a Hele-Shaw-like system: a numerical approach. Numerische Mathematik 143 (1) (2019)
Francisco Guillén-González, M. A. Rodríguez-Bellido, Diego Armando Rueda-Gómez
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model. Math. Comput. 88 (319) (2019)
Francisco Guillén-González, Giordano Tierra
Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. J. Comput. Phys. 354 (2018)
Francisco Guillén-González, M. Victoria Redondo-Neble
Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations. J. Comput. Appl. Math. 321 (2017)
Giordano Tierra, Francisco Guillén-González, María Ángeles Rodríguez-Bellido
Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effects. LSSC (2017)
Francisco Guillén-González, José Rafael Rodríguez-Galván
Stabilized Schemes for the Hydrostatic Stokes Equations. SIAM J. Numer. Anal. 53 (4) (2015)
Francisco Guillén-González, José Rafael Rodríguez-Galván
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes. Numerische Mathematik 130 (2) (2015)
Francisco Guillén-González, Jonas Koko
A Splitting in Time Scheme and Augmented Lagrangian Method for a Nematic Liquid Crystal Problem. J. Sci. Comput. 65 (3) (2015)
Roberto Carlos Cabrales, Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
A Time-Splitting Finite-Element Stable Approximation for the Ericksen-Leslie Equations. SIAM J. Sci. Comput. 37 (2) (2015)
Francisco Guillén-González, María Ángeles Rodríguez-Bellido
Weak Time Regularity and Uniqueness for a Q-Tensor Model. SIAM J. Math. Anal. 46 (5) (2014)
Francisco Guillén-González, Giordano Tierra
Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models. Comput. Math. Appl. 68 (8) (2014)
Francisco Guillén-González, Giordano Tierra
On linear schemes for a Cahn-Hilliard diffuse interface model. J. Comput. Phys. 234 (2013)
Santiago Badia, Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
Finite element approximation of nematic liquid crystal flows using a saddle-point structure. J. Comput. Phys. 230 (4) (2011)
Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
Error estimates of a linear decoupled Euler-FEM scheme for a mass diffusion model. Numerische Mathematik 117 (2) (2011)
Vivette Girault, Francisco Guillén-González
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Math. Comput. 80 (274) (2011)
Inmaculada Gayte, Francisco Guillén-González, Marko Antonio Rojas-Medar
Dubovitskii-Milyutin formalism applied to optimal control problems with constraints given by the heat equation with final data. IMA J. Math. Control. Inf. 27 (1) (2010)
B. Climent-Ezquerra, Francisco Guillén-González, M. A. Rodríguez-Bellido
Stability for Nematic Liquid Crystals with stretching Terms. Int. J. Bifurc. Chaos 20 (9) (2010)
Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations with Mass Diffusion. SIAM J. Numer. Anal. 46 (5) (2008)
Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
Unconditional stability and convergence of fully discrete schemes for 2D viscous fluids models with mass diffusion. Math. Comput. 77 (263) (2008)
Francisco Guillén-González, David Rodríguez-Gómez
Bubble finite elements for the primitive equations of the ocean. Numerische Mathematik 101 (4) (2005)
Francisco Guillén-González, M. A. Rodríguez-Bellido
On the uniqueness and regularity of the Primitive Equations imposing additional anisotropic regularity. Appl. Math. Lett. 18 (7) (2005)