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Listar por autor "Gutiérrez Santacreu, Juan Vicente"
Mostrando ítems 1-20 de 24
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Artículo
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)In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semi-implicit ...
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Artículo
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)A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic ...
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Artículo
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)In this paper we propose an unconditional energy-stable time-splitting finite-element scheme for approximating the ...
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Artículo
An overview on numerical analyses of nematic liquid crystal flows
Badia Rodríguez, Santiago; Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Springer, 2011-09)The purpose of this work is to provide an overview of the most recent numerical developments in the field of nematic liquid ...
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Artículo
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)This paper is devoted to constructing approximate solutions for the classical Keller–Segel model governing chemotaxis. It ...
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Tesis Doctoral
Análisis numérico de algunos modelos diferenciales acoplados de la mecánica de fluidos
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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Ponencia
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)En esta comunicación proponemos y analizamos un esquema numérico totalmente discreto con elementos finitos en espacio y ...
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Artículo
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)We construct a fully discrete numerical scheme for three-dimensional incompressible fluids with mass diffusion (in ...
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Artículo
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)In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of ...
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Artículo
Error estimates of a linear decoupled Euler–FEM scheme for a mass diffusion model
Guillén González, Francisco Manuel; Gutiérrez Santacreu, Juan Vicente (Springer, 2011)We present error estimates of a linear fully discrete scheme for a threedimensional mass diffusion model for incompressible ...
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Artículo
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 ...
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Artículo
Finite element discretization of a Stokes-like model arising inplasma physics
Gutiérrez Santacreu, Juan Vicente; Maj, Omar; Restelli, Marco (Elsevier, 2018)We consider a time-dependent diffusion-reaction model for two vector unknowns, satisfying a divergence-free constraint, ...
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Artículo
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)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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Artículo
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)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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Ponencia
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) -
Artículo
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)In this work, we present some results for local and global in time solutions (defined in the time interval (0, T) with T ...
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Artículo
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)Variational multiscale methods lead to stable finite element approximations of the Navier–Stokes equations, dealing with ...
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Artículo
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)En esta charla analizamos la aproximación numérica con elementos finitos en espacio y diferencias finitas en tiempo de ...
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Artículo
Numerical solution for an aggregation equation with degenerate diffusion
Cabrales, Roberto Carlos; Gutiérrez Santacreu, Juan Vicente; Rodríguez Galván, José Rafael (Cornell University, 2019)A numerical method for approximating weak solutions of an aggregation equation with degenerate diffusion is introduced. ...
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Artículo
On the approximation of turbulent fluid flows by the Navier-Stokes-α equations on bounded domains
Gutiérrez Santacreu, Juan Vicente; Rojas Medar, Marko Antonio (Elsevier, 2023-06)The Navier-Stokes- equations belong to the family of LES (Large Eddy Simulation) models whose fundamental idea is to ...