20 citations · 40 across the 3 of their papers we have counts for
3 papers
A structure-preserving upwind DG scheme for a degenerate phase-field tumor model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez Galván
In this work, we present a modification of the phase-field tumor growth model given in [26] that leads to bounded, more physically meaningful, volume fraction variables. In additio…
An unconditionally energy stable and positive upwind DG scheme for the Keller-Segel model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
The well-suited discretization of the Keller-Segel equations for chemotaxis has become a very challenging problem due to the convective nature inherent to them. This paper aims to…
An upwind DG scheme preserving the maximum principle for the convective Cahn-Hilliard model
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
The design of numerical approximations of the Cahn-Hilliard model preserving the maximum principle is a challenging problem, even more if considering additional transport terms. In…