Unconditional stability and convergence of fully discrete schemes for 2D viscous fluids models with mass diffusion. - Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (Math. Comput., 2008)

Conditional Stability and Convergence of a Fully Discrete Scheme for Three-Dimensional Navier-Stokes Equations with Mass Diffusion. - Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (SIAM J. Numer. Anal., 2008)

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. - Santiago Badia; Ramon Codina; Juan Vicente Gutiérrez-Santacreu (SIAM J. Numer. Anal., 2010)

Finite element approximation of nematic liquid crystal flows using a saddle-point structure. - Santiago Badia; Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (J. Comput. Phys., 2011)

Error estimates of a linear decoupled Euler-FEM scheme for a mass diffusion model. - Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (Numerische Mathematik, 2011)

Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model. - Juan Vicente Gutiérrez-Santacreu; Marko Antonio Rojas-Medar (Math. Comput., 2012)

A Time-Splitting Finite-Element Stable Approximation for the Ericksen-Leslie Equations. - Roberto Carlos Cabrales; Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (SIAM J. Sci. Comput., 2015)

Convergence to Suitable Weak Solutions for a Finite Element Approximation of the Navier-Stokes Equations with Numerical Subgrid Scale Modeling. - Santiago Badia; Juan Vicente Gutiérrez-Santacreu (J. Sci. Comput., 2017)

Inf-Sup Stable Finite Element Methods for the Landau-Lifshitz-Gilbert and Harmonic Map Heat Flow Equations. - Juan Vicente Gutiérrez-Santacreu; Marco Restelli (SIAM J. Numer. Anal., 2017)

Finite element discretization of a Stokes-like model arising in plasma physics. - Juan Vicente Gutiérrez-Santacreu; Omar Maj; Marco Restelli (J. Comput. Phys., 2018)

From a cell model with active motion to a Hele-Shaw-like system: a numerical approach. - Francisco Guillén-González; Juan Vicente Gutiérrez-Santacreu (Numerische Mathematik, 2019)

Numerical solution for an aggregation equation with degenerate diffusion. - Roberto Carlos Cabrales; Juan Vicente Gutiérrez-Santacreu; José Rafael Rodríguez-Galván (Appl. Math. Comput., 2020)

Analysis of a fully discrete approximation for the classical Keller-Segel model: lower and emph{a priori} bounds. - Juan Vicente Gutiérrez-Santacreu; José Rafael Rodríguez-Galván (CoRR, 2020)

Analysis of a fully discrete approximation for the classical Keller-Segel model: Lower and a priori bounds. - Juan Vicente Gutiérrez-Santacreu; José Rafael Rodríguez-Galván (Comput. Math. Appl., 2021)

Bound-preserving finite element approximations of the Keller-Segel equations. - Santiago Badia; Jesús Bonilla; Juan Vicente Gutiérrez-Santacreu (CoRR, 2022)

Physics-based stabilized finite element approximations of the Poisson-Nernst-Planck equations. - Jesús Bonita; Juan Vicente Gutiérrez-Santacreu (CoRR, 2024)

Exploring numerical blow-up phenomena for the Keller-Segel-Navier-Stokes equations. - Jesús Bonilla; Juan Vicente Gutiérrez-Santacreu (J. Num. Math., 2024)