Francisco Guillén-González
Orcid: 0000-0001-5539-5888
According to our database1,
Francisco Guillén-González
authored at least 39 papers
between 2005 and 2024.
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Bibliography
2024
J. Comput. Appl. Math., May, 2024
CoRR, 2024
2023
Comput. Math. Appl., December, 2023
SIAM J. Numer. Anal., October, 2023
An Optimal Control Problem Subject to Strong Solutions of Chemotaxis-Consumption Models.
SIAM J. Control. Optim., October, 2023
An Unconditionally Energy Stable and Positive Upwind DG Scheme for the Keller-Segel Model.
J. Sci. Comput., October, 2023
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model.
Numer. Algorithms, March, 2023
Property-preserving numerical approximations of a Cahn-Hilliard-Navier-Stokes model with variable densities and degenerate mobility.
CoRR, 2023
Energy-stable and boundedness preserving numerical schemes for the Cahn-Hilliard equation with degenerate mobility.
CoRR, 2023
2022
2021
Numerical analysis of a stable discontinuous Galerkin scheme for the hydrostatic Stokes problem.
J. Num. Math., 2021
A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes.
Adv. Comput. Math., 2021
2020
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., 2020
A Regularity Criterion for a 3D Chemo-Repulsion System and Its Application to a Bilinear Optimal Control Problem.
SIAM J. Control. Optim., 2020
Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature.
CoRR, 2020
Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes.
Comput. Math. Appl., 2020
Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditionally energy-stable fully discrete scheme.
Comput. Math. Appl., 2020
2019
From a cell model with active motion to a Hele-Shaw-like system: a numerical approach.
Numerische Mathematik, 2019
Math. Comput., 2019
2018
Unconditionally energy stable numerical schemes for phase-field vesicle membrane model.
J. Comput. Phys., 2018
2017
Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations.
J. Comput. Appl. Math., 2017
Proceedings of the Large-Scale Scientific Computing - 11th International Conference, 2017
2015
A Time-Splitting Finite-Element Stable Approximation for the Ericksen-Leslie Equations.
SIAM J. Sci. Comput., 2015
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes.
Numerische Mathematik, 2015
A Splitting in Time Scheme and Augmented Lagrangian Method for a Nematic Liquid Crystal Problem.
J. Sci. Comput., 2015
2014
Second order schemes and time-step adaptivity for Allen-Cahn and Cahn-Hilliard models.
Comput. Math. Appl., 2014
2013
J. Comput. Phys., 2013
2011
Numerische Mathematik, 2011
Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model.
Math. Comput., 2011
Finite element approximation of nematic liquid crystal flows using a saddle-point structure.
J. Comput. Phys., 2011
2010
Dubovitskii-Milyutin formalism applied to optimal control problems with constraints given by the heat equation with final data.
IMA J. Math. Control. Inf., 2010
Int. J. Bifurc. Chaos, 2010
2008
Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations with Mass Diffusion.
SIAM J. Numer. Anal., 2008
Unconditional stability and convergence of fully discrete schemes for 2D viscous fluids models with mass diffusion.
Math. Comput., 2008
2005
Numerische Mathematik, 2005
On the uniqueness and regularity of the Primitive Equations imposing additional anisotropic regularity.
Appl. Math. Lett., 2005