dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Rodríguez Bellido, María Ángeles | es |
dc.creator | Rueda Gómez, Diego Armando | es |
dc.date.accessioned | 2022-10-27T11:52:28Z | |
dc.date.available | 2022-10-27T11:52:28Z | |
dc.date.issued | 2021-12-07 | |
dc.identifier.citation | Guillén González, F.M., Rodríguez Bellido, M.Á. y Rueda Gómez, D.A. (2021). Comparison of two finite element schemes for a chemo-repulsion system with quadratic production. Applied Numerical Mathematics, 173, 193-210. https://doi.org/10.1016/j.apnum.2021.12.001. | |
dc.identifier.issn | 0168-9274 | es |
dc.identifier.uri | https://hdl.handle.net/11441/138432 | |
dc.description.abstract | In this paper we propose two fully discrete Finite Elements (FE) schemes for a repulsive
chemotaxis model with a quadratic production term. The first one, which corresponds to
the backward Euler in time with FE in space, is energy-stable in the primitive variables of
the model, under a “compatibility” condition on the FE spaces. The second one, which is
obtained modifying the scheme proposed in [13] by applying a regularization procedure,
has an “approximated positivity” property which is obtained from discrete energy estimates
and an additional estimate for a singular functional. These properties are not available
in previous approaches. Additionally, we study the well-posedness and the long time
behaviour of the schemes, obtaining exponential convergence to constant states as in
the continuous problem. Finally, we compare the numerical schemes throughout several
numerical simulations, which are in agreement with the theoretical results. | es |
dc.format | application/pdf | es |
dc.format.extent | 17 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Applied Numerical Mathematics, 173, 193-210. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Chemo-repulsion model | es |
dc.subject | Quadratic production | es |
dc.subject | Finite element schemes | es |
dc.subject | Large-time behaviour | es |
dc.subject | Energy-stability | es |
dc.subject | Approximated positivity | es |
dc.title | Comparison of two finite element schemes for a chemo-repulsion system with quadratic production | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
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 | https://doi.org/10.1016/j.apnum.2021.12.001 | es |
dc.identifier.doi | 10.1016/j.apnum.2021.12.001 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software | es |
dc.journaltitle | Applied Numerical Mathematics | es |
dc.publication.volumen | 173 | es |
dc.publication.initialPage | 193 | es |
dc.publication.endPage | 210 | es |