Author profile: Gutiérrez Santacreu, Juan Vicente
Institutional data
| Name | Gutiérrez Santacreu, Juan Vicente |
| Department | Matemática Aplicada I |
| Knowledge area | Matemática Aplicada |
| Professional category | Profesor Titular de Universidad |
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Statistics
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No. publications
24
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No. visits
2558
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No. downloads
3474
| Publications |
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Article
 On the approximation of turbulent fluid flows by the Navier-Stokes-α equations on bounded domains
(Elsevier, 2023)
The Navier-Stokes- equations belong to the family of LES (Large Eddy Simulation) models whose fundamental idea is to ... |
Article
Analysis of a fully discrete approximation for the classical Keller–Segel model: Lower and a priori bounds
(Elsevier, 2021)
This paper is devoted to constructing approximate solutions for the classical Keller–Segel model governing chemotaxis. It ... |
Article
From a cell model with active motion to a Hele–Shaw-like system: a numerical approach
(Springer, 2019)
In this paper we deal with the numerical solution of a Hele{Shaw-like system via a cell model with active motion. Convergence ... |
Article
Numerical solution for an aggregation equation with degenerate diffusion
(Cornell University, 2019)
A numerical method for approximating weak solutions of an aggregation equation with degenerate diffusion is introduced. ... |
Article
Finite element discretization of a Stokes-like model arising inplasma physics
(Elsevier, 2018)
We consider a time-dependent diffusion-reaction model for two vector unknowns, satisfying a divergence-free constraint, ... |
Article
Two scenarios on a potential smoothness breakdown for the three-dimensional Navier-Stokes equations
(Cornell University, 2018)
In this paper we construct two families of initial data being arbitrarily large under any scaling-invariant norm for which ... |
Article
A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching
(Wiley, 2017)
A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic ... |
Article
Inf-Sup Stable Finite Element Methods for the Landau--Lifshitz--Gilbert and Harmonic Map Heat Flow Equations
(SIAM: Society for Industrial and Applied Mathematics, 2017)
In this paper we propose and analyze a finite element method for both the harmonic map heat and Landau–Lifshitz–Gilbert ... |
Article
Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier–Stokes Equations with Numerical Subgrid Scale Modeling
(Springer, 2017)
In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of ... |
Article
A time-splitting finite-element stable approximation for the Ericksen-Leslie equations
(Society for Industrial and Applied Mathematics, 2015)
In this paper we propose an unconditional energy-stable time-splitting finite-element scheme for approximating the ... |
| Presentation |
Article
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model
(Centre National de la Recherche Scientifique, 2013)
In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semi-implicit ... |
Article
 Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model
(American Mathematical Society, 2012)
The goal of this paper is to present uniform-in-time error estimates by considering spectral Galerkin approximations of ... |
Article
An overview on numerical analyses of nematic liquid crystal flows
(Springer, 2011)
The purpose of this work is to provide an overview of the most recent numerical developments in the field of nematic liquid ... |
Article
Finite element approximation of nematic liquid crystal flows using a saddle-point structure
(Elsevier, 2011)
In this work, we propose finite element schemes for the numerical approximation of nematic liquid crystal flows, based on ... |
Article
Error estimates of a linear decoupled Euler–FEM scheme for a mass diffusion model
(Springer, 2011)
We present error estimates of a linear fully discrete scheme for a threedimensional mass diffusion model for incompressible ... |
Article
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
(SIAM, 2010)
Variational multiscale methods lead to stable finite element approximations of the Navier–Stokes equations, dealing with ... |
Article
Método de elementos finitos para la aproximación de un modelo de cristales líquidos nemáticos
(Sociedad Española de Matemática Aplicada, 2009)
En esta charla analizamos la aproximación numérica con elementos finitos en espacio y diferencias finitas en tiempo de un ... |
Article
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
(EDP Sciences, 2009)
We analyze two numerical schemes of Euler type in time and C0 finite-element type with P1-approximation in space for solving ... |
PhD Thesis
Análisis numérico de algunos modelos diferenciales acoplados de la mecánica de fluidos
(2008)
La finalidad de esta tesis es aportar un mayor grado de entendimiento, desde el aspecto numérico, de diversos sistemas en ... |
Article
Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier–Stokes equations with mass diffusion
(Society for Industrial and Applied Mathematics, 2008)
We construct a fully discrete numerical scheme for three-dimensional incompressible fluids with mass diffusion (in ... |
Article
Unconditional stability and convergence of fully discrete schemes for 2D viscous fluids models with mass diffusion
(American Mathematical Society, 2008)
In this work we develop fully discrete (in time and space) numerical schemes for two-dimensional incompressible fluids ... |
Presentation
Aproximación de un modelo de cristales líquidos nemáticos con un esquema completamente discreto y penalizado
(2007)
En esta comunicación proponemos y analizamos un esquema numérico totalmente discreto con elementos finitos en espacio y ... |
Article
Local and global strong solution by the semi-Galerkin method for the model of mass diffusion
(Sociedade Brasileira de Matemática, 2006)
In this work, we present some results for local and global in time solutions (defined in the time interval (0, T) with T ... |