dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Rodríguez Bellido, María Ángeles | es |
dc.creator | Rueda Gómez, Diego Armando | es |
dc.date.accessioned | 2022-06-30T08:57:58Z | |
dc.date.available | 2022-06-30T08:57:58Z | |
dc.date.issued | 2021-12-10 | |
dc.identifier.citation | Guillén González, F.M., Rodríguez Bellido, M.Á. y Rueda Gómez, D.A. (2021). A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes. Advances in computational mathematics, 47 (6), 87-1-87-38. | |
dc.identifier.issn | 1019-7168 | es |
dc.identifier.issn | 1572-9044 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134828 | |
dc.description.abstract | We consider the following repulsive-productive chemotaxis model: find 0, the
cell density, and 0, the chemical concentration, satisfying
0 in 0
in 0
(1)
with 1 2 , a bounded domain ( 1 2 3), endowed with non-flux
boundary conditions. By using a regularization technique, we prove the existence of
global in time weak solutions of (1) which is regular and unique for 1 2. Moreover,
we propose two fully discrete Finite Element (FE) nonlinear schemes, the first
one defined in the variables under structured meshes, and the second one by
using the auxiliary variable and defined in general meshes. We prove some
unconditional properties for both schemes, such as mass-conservation, solvability,
energy-stability and approximated positivity. Finally, we compare the behavior of
these schemes with respect to the classical FE backward Euler scheme throughout
several numerical simulations and give some conclusions. | es |
dc.format | application/pdf | es |
dc.format.extent | 38 p. | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Advances in computational mathematics, 47 (6), 87-1-87-38. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Chemorepulsion model | es |
dc.subject | Finite element approximation | es |
dc.subject | Energy-stability | es |
dc.subject | Nonlinear production | es |
dc.subject | Approximated positivity | es |
dc.title | A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | doi.org/10.1007/s10444-021-09907-1 | es |
dc.identifier.doi | 10.1007/s10444-021-09907-1 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
dc.journaltitle | Advances in computational mathematics | es |
dc.publication.volumen | 47 | es |
dc.publication.issue | 6 | es |
dc.publication.initialPage | 87-1 | es |
dc.publication.endPage | 87-38 | es |