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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