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ORCIDFrancisco Guillén-González
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2020 – today
- 2024
[j33]Francisco Guillén-González
, Giordano Tierra:
Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility. Comput. Math. Appl. 172: 181-201 (2024)- [j32]Francisco Guillén-González, Giordano Tierra:
Finite element numerical schemes for a chemo-attraction and consumption model. J. Comput. Appl. Math. 441: 115676 (2024) - [i12]André Luiz Corrêa Vianna Filho, Francisco Guillén-González:
A Review on the Analysis and Optimal Control of Chemotaxis-Consumption Models. CoRR abs/2402.06564 (2024) - [i11]Francisco Guillén-González, Giordano Tierra:
Structure preserving finite element schemes for the Navier-Stokes-Cahn-Hilliard system with degenerate mobility. CoRR abs/2405.14763 (2024) - 2023
- [j31]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: 317-333 (2023) - [j30]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): 18 (2023) - [j29]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): 1589-1619 (2023) - [j28]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): 3156-3182 (2023) - [j27]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): 2509-2533 (2023) - [i10]Francisco Guillén-González, Giordano Tierra:
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility. CoRR abs/2301.04913 (2023) - [i9]Daniel Acosta-Soba, Francisco Guillén-González, José Rafael Rodríguez-Galván:
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model. CoRR abs/2304.09257 (2023) - [i8]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 abs/2310.01522 (2023) - 2022
- [i7]Francisco Guillén-González, André Luiz Corrêa Vianna Filho:
Convergence of a time discrete scheme for a chemotaxis-consumption model. CoRR abs/2207.01933 (2022) - [i6]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 abs/2209.10508 (2022) - [i5]Daniel Acosta-Soba, Francisco Guillén-González, N. Ortega-Román, José Rafael Rodríguez-Galván:
Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb. CoRR abs/2211.06166 (2022) - 2021
- [j26]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): 87 (2021) - [j25]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): 103-118 (2021) - [i4]Antonio Fernández-Romero, Francisco Guillén-González, A. Suárez:
A Glioblastoma PDE-ODE model including chemotaxis and vasculature. CoRR abs/2109.14322 (2021) - [i3]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 abs/2111.07313 (2021) - [i2]Francisco Guillén-González, Giordano Tierra:
Finite Element numerical schemes for a chemo-attraction and consumption model. CoRR abs/2112.03431 (2021) - 2020
- [j24]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): 636-652 (2020) - [j23]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): 692-713 (2020) - [j22]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): 1457-1490 (2020) - [j21]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): 6260-6280 (2020) - [i1]Antonio Fernández-Romero, Francisco Guillén-González, Antonio Suárez:
Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature. CoRR abs/2012.12625 (2020)
2010 – 2019
- 2019
- [j20]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): 2069-2099 (2019) - [j19]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): 107-137 (2019) - 2018
- [j18]Francisco Guillén-González, Giordano Tierra:
Unconditionally energy stable numerical schemes for phase-field vesicle membrane model. J. Comput. Phys. 354: 67-85 (2018) - 2017
- [j17]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: 348-370 (2017) - [c1]Giordano Tierra, Francisco Guillén-González, María Ángeles Rodríguez-Bellido:
Splitting Schemes for Mixtures of Nematic-Isotropic Flows with Anchoring Effects. LSSC 2017: 77-84 - 2015
- [j16]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): 1129-1144 (2015) - [j15]Francisco Guillén-González, José Rafael Rodríguez-Galván:
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes. Numerische Mathematik 130(2): 225-256 (2015) - [j14]Francisco Guillén-González, José Rafael Rodríguez-Galván:
Stabilized Schemes for the Hydrostatic Stokes Equations. SIAM J. Numer. Anal. 53(4): 1876-1896 (2015) - [j13]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) - 2014
- [j12]Francisco Guillén-González, Giordano Tierra:
Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models. Comput. Math. Appl. 68(8): 821-846 (2014) - [j11]Francisco Guillén-González, María Ángeles Rodríguez-Bellido:
Weak Time Regularity and Uniqueness for a Q-Tensor Model. SIAM J. Math. Anal. 46(5): 3540-3567 (2014) - 2013
- [j10]Francisco Guillén-González, Giordano Tierra:
On linear schemes for a Cahn-Hilliard diffuse interface model. J. Comput. Phys. 234: 140-171 (2013) - 2011
- [j9]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): 1686-1706 (2011) - [j8]Vivette Girault, Francisco Guillén-González:
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model. Math. Comput. 80(274): 781-819 (2011) - [j7]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): 333-371 (2011) - 2010
- [j6]B. Climent-Ezquerra, Francisco Guillén-González, M. A. Rodríguez-Bellido:
Stability for Nematic Liquid Crystals with stretching Terms. Int. J. Bifurc. Chaos 20(9): 2937-2942 (2010) - [j5]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): 57-76 (2010)
2000 – 2009
- 2008
- [j4]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): 1495-1524 (2008) - [j3]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): 2276-2308 (2008) - 2005
- [j2]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): 783-789 (2005) - [j1]Francisco Guillén-González, David Rodríguez-Gómez:
Bubble finite elements for the primitive equations of the ocean. Numerische Mathematik 101(4): 689-728 (2005)
Coauthor Index
aka: María Ángeles Rodríguez-Bellido
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