Data

NameGutiérrez Santacreu, Juan Vicente
DepartmentMatemática Aplicada I
Knowledge areaMatemática Aplicada
Professional categoryProfesor Titular de Universidad
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  Statistics

  • Items

    24

  • Visits

    1941

  • Downloads

    2493

  Publications

 

Article
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Analysis of a fully discrete approximation for the classical Keller–Segel model: Lower and a priori bounds

Gutiérrez Santacreu, Juan Vicente; Rodríguez Galván, José Rafael (Elsevier, 2021-01-01)
This paper is devoted to constructing approximate solutions for the classical Keller–Segel model governing chemotaxis. It ...
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From a cell model with active motion to a Hele–Shaw-like system: a numerical approach

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Springer, 2019-01-01)
In this paper we deal with the numerical solution of a Hele{Shaw-like system via a cell model with active motion. Convergence ...
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Numerical solution for an aggregation equation with degenerate diffusion

Cabrales, Roberto Carlos; Gutiérrez Santacreu, Juan Vicente; Rodríguez Galván, José Rafael (Cornell University, 2019-01-01)
A numerical method for approximating weak solutions of an aggregation equation with degenerate diffusion is introduced. ...
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On the approximation of turbulent fluid flows by the Navier-Stokes-α equations on bounded domains

Gutiérrez Santacreu, Juan Vicente; Rojas Medar, M.A. (Cornell University, 2019-01-01)
The Navier-Stokes- equations belong to the family of LES (Large Eddy Simulation) models whose fundamental idea is to ...
Article
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Finite element discretization of a Stokes-like model arising inplasma physics

Gutiérrez Santacreu, Juan Vicente; Maj, Omar; Restelli, Marco (Elsevier, 2018-01-01)
We consider a time-dependent diffusion-reaction model for two vector unknowns, satisfying a divergence-free constraint, ...
Article
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Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations

Gutiérrez Santacreu, Juan Vicente (Cornell University, 2018-01-01)
In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which ...
Article
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A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching

Cabrales, Roberto Carlos; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Wiley, 2017-01-01)
A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic ...
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Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling

Badia, Santiago; Gutiérrez Santacreu, Juan Vicente (Springer, 2017-01-01)
In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of ...
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Inf-Sup Stable Finite Element Methods for the Landau--Lifshitz--Gilbert and Harmonic Map Heat Flow Equations

Gutiérrez Santacreu, Juan Vicente; Restelli, Marco (SIAM: Society for Industrial and Applied Mathematics, 2017-01-01)
In this paper we propose and analyze a finite element method for both the harmonic map heat and Landau–Lifshitz–Gilbert ...
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A time-splitting finite-element stable approximation for the Ericksen-Leslie equations

Cabrales, Roberto Carlos; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Society for Industrial and Applied Mathematics, 2015-01-01)
In this paper we propose an unconditional energy-stable time-splitting finite-element scheme for approximating the ...
Presentation
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Liquid crystal and phase-field models are related by mathematics

Guillén González, Francisco Manuel; Climent Ezquerra, María Blanca; Gutiérrez Santacreu, Juan Vicente; Rodríguez Bellido, María Ángeles; Tierra Chica, Giordano; Rojas Medar, Marko Antonio; Cabrales, Roberto Carlos; Grün, Günther (2014-01-01)
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A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Centre National de la Recherche Scientifique, 2013-09-01)
In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semi-implicit ...
Article
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Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model

Gutiérrez Santacreu, Juan Vicente; Rojas Medar, María Drina (American Mathematical Society, 2012-01-01)
The goal of this paper is to present uniform-in-time error estimates by considering spectral Galerkin approximations of ...
Article
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An overview on numerical analyses of nematic liquid crystal flows

Badia Rodríguez, Santiago; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Springer, 2011-09-01)
The purpose of this work is to provide an overview of the most recent numerical developments in the field of nematic liquid ...
Article
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Finite element approximation of nematic liquid crystal flows using a saddle-point structure

Badia Rodríguez, Santiago; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Elsevier, 2011-02-20)
In this work, we propose finite element schemes for the numerical approximation of nematic liquid crystal flows, based on ...
Article
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Error estimates of a linear decoupled Euler–FEM scheme for a mass diffusion model

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Springer, 2011-01-01)
We present error estimates of a linear fully discrete scheme for a threedimensional mass diffusion model for incompressible ...
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Long-Term Stability Estimates and Existence of a Global Attractor in a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling

Badia, Santiago; Codina, Ramón; Gutiérrez Santacreu, Juan Vicente (SIAM, 2010-01-01)
Variational multiscale methods lead to stable finite element approximations of the Navier–Stokes equations, dealing with ...
Article
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Método de elementos finitos para la aproximación de un modelo de cristales líquidos nemáticos

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Sociedad Española de Matemática Aplicada, 2009-01-01)
En esta charla analizamos la aproximación numérica con elementos finitos en espacio y diferencias finitas en tiempo de un ...
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Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (EDP Sciences, 2009-01-01)
We analyze two numerical schemes of Euler type in time and C0 finite-element type with P1-approximation in space for solving ...
PhD Thesis
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Análisis numérico de algunos modelos diferenciales acoplados de la mecánica de fluidos

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (2008-01-09)
La finalidad de esta tesis es aportar un mayor grado de entendimiento, desde el aspecto numérico, de diversos sistemas en ...
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Unconditional stability and convergence of fully discrete schemes for 2D viscous fluids models with mass diffusion

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (American Mathematical Society, 2008-01-01)
In this work we develop fully discrete (in time and space) numerical schemes for two-dimensional incompressible fluids ...
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Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier–Stokes equations with mass diffusion

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Society for Industrial and Applied Mathematics, 2008-01-01)
We construct a fully discrete numerical scheme for three-dimensional incompressible fluids with mass diffusion (in ...
Presentation
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Aproximación de un modelo de cristales líquidos nemáticos con un esquema completamente discreto y penalizado

Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (2007-09-01)
En esta comunicación proponemos y analizamos un esquema numérico totalmente discreto con elementos finitos en espacio y ...
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Local and global strong solution by the semi-Galerkin method for the model of mass diffusion

Damázio, Pedro D.; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente; Rojas Medar, Marko Antonio (Sociedade Brasileira de Matemática, 2006-01-01)
In this work, we present some results for local and global in time solutions (defined in the time interval (0, T) with T ...