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dc.contributor.author
Agnelli, Juan Pablo
dc.contributor.author
Garau, Eduardo Mario
dc.contributor.author
Morin, Pedro
dc.date.available
2017-02-17T20:07:26Z
dc.date.issued
2014-02
dc.identifier.citation
Agnelli, Juan Pablo; Garau, Eduardo Mario; Morin, Pedro; A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces; Edp Sciences; Esaim-mathematical Modelling And Numerical Analysis-modelisation Matheematique Et Analyse Numerique; 48; 6; 2-2014; 1557-1581
dc.identifier.issn
0764-583X
dc.identifier.uri
http://hdl.handle.net/11336/13168
dc.description.abstract
In this article we develop a posteriori error estimates for second order linear elliptic problems with point sources in two- and three-dimensional domains. We prove a global upper bound and a local lower bound for the error measured in a weighted Sobolev space. The weight considered is a (positive) power of the distance to the support of the Dirac delta source term, and belongs to the Muckenhoupt’s class A2. The theory hinges on local approximation properties of either Cl´ement or Scott–Zhang interpolation operators, without need of modifications, and makes use of weighted estimates for fractional integrals and maximal functions. Numerical experiments with an adaptive algorithm yield optimal meshes and very good effectivity indices.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Edp Sciences
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Elliptic Problems
dc.subject
Singular Source Term
dc.subject
A Posteriori Error Estimates
dc.subject
Weighted Sobolev Spaces
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A posteriori error estimates for elliptic problems with Dirac measure terms in weighted spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-11-23T20:14:03Z
dc.identifier.eissn
1290-3841
dc.journal.volume
48
dc.journal.number
6
dc.journal.pagination
1557-1581
dc.journal.pais
Francia
dc.description.fil
Fil: Agnelli, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.description.fil
Fil: Garau, Eduardo Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina. Universidad Nacional de Córdoba; Argentina
dc.description.fil
Fil: Morin, Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Matemática Aplicada "Litoral"; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
dc.journal.title
Esaim-mathematical Modelling And Numerical Analysis-modelisation Matheematique Et Analyse Numerique
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1051/m2an/2014010
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.esaim-m2an.org/articles/m2an/abs/2014/06/m2an140010/m2an140010.html
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