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dc.contributor.author
Armentano, Maria Gabriela
dc.contributor.author
Lombardi, Ariel Luis
dc.contributor.author
Penessi, Cecilia
dc.date.available
2024-11-05T13:17:05Z
dc.date.issued
2024-10
dc.identifier.citation
Armentano, Maria Gabriela; Lombardi, Ariel Luis; Penessi, Cecilia; A Finite Element Analysis in Balanced Norms for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations; De Gruyter; Computational Methods in Applied Mathematics; 2024; 10-2024; 1-34
dc.identifier.issn
1609-4840
dc.identifier.uri
http://hdl.handle.net/11336/247311
dc.description.abstract
In this paper we study approximations of a singularly perturbed system of two coupled reaction-diffusion equations, in one dimension, by using piecewise linear finite elements on graded meshes. When the parameters are of different magnitudes, the solution exhibits in general two distinct but overlapping boundary layers. We prove that, when the mesh grading parameter is appropriately chosen, optimal error estimates in a balanced norm for piecewise linear elements can be obtained. Supporting numerical results are also presented.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
De Gruyter
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
reaction diffusion
dc.subject
singular perturbation
dc.subject
balanced norms
dc.subject
graded meshes
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A Finite Element Analysis in Balanced Norms for a Coupled System of Singularly Perturbed Reaction-Diffusion Equations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-10-28T12:27:15Z
dc.journal.volume
2024
dc.journal.pagination
1-34
dc.journal.pais
Alemania
dc.journal.ciudad
Berlin
dc.description.fil
Fil: Armentano, Maria Gabriela. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Lombardi, Ariel Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Penessi, Cecilia. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title
Computational Methods in Applied Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.degruyter.com/document/doi/10.1515/cmam-2023-0219/html
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1515/cmam-2023-0219
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