dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Rodríguez Bellido, María Ángeles | es |
dc.creator | Rueda Gómez, Diego Armando | es |
dc.date.accessioned | 2019-09-10T08:00:12Z | |
dc.date.available | 2019-09-10T08:00:12Z | |
dc.date.issued | 2019-09 | |
dc.identifier.citation | Guillén González, F.M., Rodríguez Bellido, M.Á. y Rueda Gómez, D.A. (2019). Unconditionally energy stable fully discrete schemes for a chemo-repulsion model. Mathematics of Computation, 88 (319), 2069-2099. | |
dc.identifier.issn | 0025-5718 | es |
dc.identifier.issn | 1088-6842 | es |
dc.identifier.uri | https://hdl.handle.net/11441/89076 | |
dc.description.abstract | This work is devoted to studying unconditionally energy stable
and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: find u ≥ 0, the cell density, and v ≥ 0, the chemical concentration, such that
∂tu − Δu −∇· (u∇v) = 0 in Ω, t> 0,
∂tv − Δv + v = u in Ω, t> 0,
in a bounded domain Ω ⊆ Rd, d = 2, 3. By using a regularization technique,
we propose three fully discrete Finite Element (FE) approximations. The
first one is a nonlinear approximation in the variables (u, v); the second one
is another nonlinear approximation obtained by introducing σ = ∇v as an
auxiliary variable; and the third one is a linear approximation constructed by
mixing the regularization procedure with the energy quadratization technique, in which other auxiliary variables are introduced. In addition, we study the well-posedness of the numerical schemes, proving unconditional existence of solution, but conditional uniqueness (for the nonlinear schemes). Finally, we compare the behavior of such schemes throughout several numerical simulations and provide some conclusions. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (MINECO). España | es |
dc.description.sponsorship | European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.description.sponsorship | Vicerrectoría de Investigación y Extensión (Universidad Industrial de Santander) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | American Mathematical Society | es |
dc.relation.ispartof | Mathematics of Computation, 88 (319), 2069-2099. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Chemorepulsion-production model | es |
dc.subject | Finite element approximation | es |
dc.subject | Unconditional energy-stability | es |
dc.subject | Quadratization of energy | es |
dc.subject | Regularization | es |
dc.title | Unconditionally energy stable fully discrete schemes for a chemo-repulsion model | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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.projectID | MTM2015-69875-P | es |
dc.relation.publisherversion | https://www.ams.org/journals/mcom/2019-88-319/S0025-5718-2019-03418-X/S0025-5718-2019-03418-X.pdf | es |
dc.identifier.doi | 10.1090/mcom/3418 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales, Simulación Num.y Desarrollo Software | es |
idus.format.extent | 37 p. | es |
dc.journaltitle | Mathematics of Computation | es |
dc.publication.volumen | 88 | es |
dc.publication.issue | 319 | es |
dc.publication.initialPage | 2069 | es |
dc.publication.endPage | 2099 | es |