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20152022
most citedStudy of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes

6 citations · 10 across the 7 of their papers we have counts for

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Showing 2018Show all

4 papers · 1 filter

math.NA2018

Unconditionally energy stable fully discrete schemes for a chemo-repulsion model

Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Diego Armando Rueda-Gómez

This work is devoted to study unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: Find , the ce…

math.DS2018

Comparison of two finite element schemes for a chemo-repulsion system with quadratic production

Francisco Guillén-González, María Ángeles Rodríguez-Bellido, Diego Armando Rueda-Gómez

In this paper we propose two fully discrete Finite Elements (FE) schemes for a repulsive chemotaxis model with quadratic production term. The first one (called scheme UV) correspon…

math.NA2018★ 4 cited

Study of a chemo-repulsion model with quadratic production. Part II: Analysis of an unconditional energy-stable fully discrete scheme

F. Guillén-González, M. A. Rodríguez-Bellido, D. A. Rueda-Gómez

This work is devoted to the study of a fully discrete scheme for a repulsive chemotaxis with quadratic production model. By following the ideas presented in [Guilen-Gonzalez et al]…

math.NA2018★ 6 cited

Study of a chemo-repulsion model with quadratic production. Part I: Analysis of the continuous problem and time-discrete numerical schemes

F. Guillén-González, M. A. Rodríguez-Bellido, D. A. Rueda-Gómez

We consider a chemo-repulsion model with quadratic production in a bounded domain. Firstly, we obtain global in time weak solutions, and give a regularity criterion (which is satis…