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dc.contributor.author
Garau, Eduardo Mario
dc.contributor.author
Morin, Pedro
dc.contributor.author
Zuppa, Carlos
dc.date.available
2019-04-26T22:46:54Z
dc.date.issued
2011-04
dc.identifier.citation
Garau, Eduardo Mario; Morin, Pedro; Zuppa, Carlos; Convergence of an adaptive Kačanov FEM for quasi-linear problems; Elsevier Science; Applied Numerical Mathematics; 61; 4; 4-2011; 512-529
dc.identifier.issn
0168-9274
dc.identifier.uri
http://hdl.handle.net/11336/75181
dc.description.abstract
We design an adaptive finite element method to approximate the solutions of quasi-linear elliptic problems. The algorithm is based on a Kačanov iteration and a mesh adaptation step is performed after each linear solve. The method is thus inexact because we do not solve the discrete nonlinear problems exactly, but rather perform one iteration of a fixed point method (Kačanov), using the approximation of the previous mesh as an initial guess. The convergence of the method is proved for any reasonable marking strategy and starting from any initial mesh. We conclude with some numerical experiments that illustrate the theory.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Adaptive Finite Element Methods
dc.subject
Convergence
dc.subject
Nonlinear Stationary Conservation Laws
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Convergence of an adaptive Kačanov FEM for quasi-linear problems
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-04-26T15:36:17Z
dc.journal.volume
61
dc.journal.number
4
dc.journal.pagination
512-529
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Garau, Eduardo Mario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Morin, Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Zuppa, Carlos. Universidad Nacional de San Luis; Argentina
dc.journal.title
Applied Numerical Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.apnum.2010.12.001
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