On the uniqueness and regularity of the Primitive Equations imposing additional anisotropic regularity. - Francisco Guillén-González; M. A. Rodríguez-Bellido (Appl. Math. Lett., 2005)

Bubble finite elements for the primitive equations of the ocean. - Francisco Guillén-González; David Rodríguez-Gómez (Numerische Mathematik, 2005)

Unconditional stability and convergence of fully discrete schemes for 2D viscous fluids models with mass diffusion. - Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (Math. Comput., 2008)

Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations with Mass Diffusion. - Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (SIAM J. Numer. Anal., 2008)

Stability for Nematic Liquid Crystals with stretching Terms. - B. Climent-Ezquerra; Francisco Guillén-González; M. A. Rodríguez-Bellido (Int. J. Bifurc. Chaos, 2010)

Dubovitskii-Milyutin formalism applied to optimal control problems with constraints given by the heat equation with final data. - Inmaculada Gayte; Francisco Guillén-González; Marko Antonio Rojas-Medar (IMA J. Math. Control. Inf., 2010)

Finite element approximation of nematic liquid crystal flows using a saddle-point structure. - Santiago Badia; Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (J. Comput. Phys., 2011)

Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. - Vivette Girault; Francisco Guillén-González (Math. Comput., 2011)

Error estimates of a linear decoupled Euler-FEM scheme for a mass diffusion model. - Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (Numerische Mathematik, 2011)

On linear schemes for a Cahn-Hilliard diffuse interface model. - Francisco Guillén-González; Giordano Tierra (J. Comput. Phys., 2013)

Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models. - Francisco Guillén-González; Giordano Tierra (Comput. Math. Appl., 2014)

Weak Time Regularity and Uniqueness for a Q-Tensor Model. - Francisco Guillén-González; María Ángeles Rodríguez-Bellido (SIAM J. Math. Anal., 2014)

A Splitting in Time Scheme and Augmented Lagrangian Method for a Nematic Liquid Crystal Problem. - Francisco Guillén-González; Jonas Koko (J. Sci. Comput., 2015)

Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes. - Francisco Guillén-González; José Rafael Rodríguez-Galván (Numerische Mathematik, 2015)

Stabilized Schemes for the Hydrostatic Stokes Equations. - Francisco Guillén-González; José Rafael Rodríguez-Galván (SIAM J. Numer. Anal., 2015)

A Time-Splitting Finite-Element Stable Approximation for the Ericksen-Leslie Equations. - Roberto Carlos Cabrales; Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (SIAM J. Sci. Comput., 2015)

Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effects. - Giordano Tierra; Francisco Guillén-González; María Ángeles Rodríguez-Bellido (LSSC, 2017)

Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations. - Francisco Guillén-González; M. Victoria Redondo-Neble (J. Comput. Appl. Math., 2017)

Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. - Francisco Guillén-González; Giordano Tierra (J. Comput. Phys., 2018)

Unconditionally energy stable fully discrete schemes for a chemo-repulsion model. - Francisco Guillén-González; M. A. Rodríguez-Bellido; Diego Armando Rueda-Gómez (Math. Comput., 2019)

From a cell model with active motion to a Hele-Shaw-like system: a numerical approach. - Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (Numerische Mathematik, 2019)

Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditionally energy-stable fully discrete scheme. - Francisco Guillén-González; M. A. Rodríguez-Bellido; Diego Armando Rueda-Gómez (Comput. Math. Appl., 2020)

Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes. - Francisco Guillén-González; M. A. Rodríguez-Bellido; Diego Armando Rueda-Gómez (Comput. Math. Appl., 2020)

Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature. - Antonio Fernández-Romero; Francisco Guillén-González; Antonio Suárez (CoRR, 2020)

A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem. - Francisco Guillén-González; Exequiel Mallea-Zepeda; María Ángeles Rodríguez-Bellido (SIAM J. Control. Optim., 2020)

Existence of Global-in-Time Weak Solutions for a Solidification Model with Convection in the Liquid and Rigid Motion in the Solid. - Bianca M. Calsavara; Francisco Guillén-González (SIAM J. Math. Anal., 2020)

A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes. - Francisco Guillén-González; M. A. Rodríguez-Bellido; Diego Armando Rueda-Gómez (Adv. Comput. Math., 2021)

A Glioblastoma PDE-ODE model including chemotaxis and vasculature. - Antonio Fernández-Romero; Francisco Guillén-González; A. Suárez (CoRR, 2021)

Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem. - Francisco Guillén-González; M. Victoria Redondo-Neble; José Rafael Rodríguez-Galván (J. Num. Math., 2021)

Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb. - Daniel Acosta-Soba; Francisco Guillén-González; N. Ortega-Román; José Rafael Rodríguez-Galván (CoRR, 2022)

Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility. - Francisco Guillén-González; Giordano Tierra (CoRR, 2023)

Property-preserving numerical approximations of a Cahn-Hilliard-Navier-Stokes model with variable densities and degenerate mobility. - Daniel Acosta-Soba; Francisco Guillén-González; José Rafael Rodríguez-Galván; Jin Wang (CoRR, 2023)

An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model. - Daniel Acosta-Soba; Francisco Guillén-González; José Rafael Rodríguez-Galván (Numer. Algorithms, 2023)

An Unconditionally Energy Stable and Positive Upwind DG Scheme for the Keller-Segel Model. - Daniel Acosta-Soba; Francisco Guillén-González; José Rafael Rodríguez-Galván (J. Sci. Comput., 2023)

An Optimal Control Problem Subject to Strong Solutions of Chemotaxis-Consumption Models. - Francisco Guillén-González; André Luiz Corrêa Vianna Filho (SIAM J. Control. Optim., 2023)

Convergence of a Time Discrete Scheme for a Chemotaxis-Consumption Model. - Francisco Guillén-González; André Luiz Corrêa Vianna Filho (SIAM J. Numer. Anal., 2023)

A structure-preserving upwind DG scheme for a degenerate phase-field tumor model. - Daniel Acosta-Soba; Francisco Guillén-González; José Rafael Rodríguez-Galván (Comput. Math. Appl., 2023)

Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility. - Francisco Guillén-González; Giordano Tierra (Comput. Math. Appl., 2024)

A Review on the Analysis and Optimal Control of Chemotaxis-Consumption Models. - André Luiz Corrêa Vianna Filho; Francisco Guillén-González (CoRR, 2024)

Finite element numerical schemes for a chemo-attraction and consumption model. - Francisco Guillén-González; Giordano Tierra (J. Comput. Appl. Math., 2024)