20 citations · 50 across the 8 of their papers we have counts for
8 papers
Structure-preserving upwind DG scheme for a Cahn-Hilliard-Darcy model of tumor growth
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván
In this work, we develop a structure-preserving numerical scheme for a Cahn-Hilliard-Darcy model that describes tumor growth in a fluid-saturated porous medium. First, we derive a…
On a linear DG approximation of chemotaxis models with damping gradient nonlinearities
Daniel Acosta-Soba, Alessandro Columbu, J. Rafael Rodríguez-Galván
In this work we present a novel linear and positivity preserving upwind discontinuous Galerkin (DG) approximation of a class of chemotaxis models with damping gradient nonlineariti…
Dissipative gradient nonlinearities prevent -formations in local and nonlocal attraction-repulsion chemotaxis models
Tongxing Li, Daniel Acosta Soba, Alessandro Columbu +1
We study some attraction repulsion chemotaxis models, characterized by nonlinearities laws for the diffusion of the cell density, and for the chemosensitivities and the production…
Property-preserving numerical approximation of a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility
Daniel Acosta-Soba, Francisco Guillén-González, J. Rafael Rodríguez-Galván +1
In this paper, we present a new computational framework to approximate a Cahn-Hilliard-Navier-Stokes model with variable density and degenerate mobility that preserves the mass of…
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…
Mathematical Modelling of Neuroblast Chemotaxis Migration towards the Olfactory Bulb
Daniel Acosta-Soba, Carmen Castro-González, Noelia Geribaldi-Doldán +5
This article is devoted to the mathematical modeling of migration of neuroblasts, precursor cells of neurons, along the pathway they usually follow before maturing. This pathway is…
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…