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math.NA2018
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…
math.NA2018
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…