4 papers
From a cell model with active motion to a Hele-Shaw-like system. A numerical approach
Francisco Guillén-González, Juan Vicente Gutiérrez-Santacreu
In this paper we deal with the numerical solution of a Hele--Shaw-like system via a cell model with active motion. Convergence of approximations is established for well-posed initi…
Numerical solution for an aggregation equation with degenerate diffusion
Roberto Carlos Cabrales, Juan Vicente Gutiérrez-Santacreu, José Rafael Rodríguez-Galván
A numerical method for approximating weak solutions of an aggregation equation with degenerate diffusion is introduced. The numerical method consists of a stabilized finite element…
Inf-sup stable finite-element methods for the Landau--Lifshitz--Gilbert and harmonic map heat flow equation
Juan Vicente Gutiérrez-Santacreu, Marco Restelli
In this paper we propose and analyze a finite element method for both the harmonic map heat and Landau--Lifshitz--Gilbert equation, the time variable remaining continuous. Our star…
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
In this work we prove that weak solutions constructed by a variational multiscale method are suitable in the sense of Scheffer. In order to prove this result, we consider a subgrid…