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dc.contributor.author
Bonito, Andrea  
dc.contributor.author
Cascón, José Manuel  
dc.contributor.author
Morin, Pedro  
dc.contributor.author
Nochetto, Ricardo Horacio  
dc.contributor.other
Brezzi, F.  
dc.contributor.other
Colli Franzone, P.  
dc.contributor.other
Gianazza, U. P.  
dc.contributor.other
Gilardi, G.  
dc.date.available
2020-09-25T15:10:55Z  
dc.date.issued
2013  
dc.identifier.citation
Bonito, Andrea; Cascón, José Manuel; Morin, Pedro; Nochetto, Ricardo Horacio; AFEM for geometric PDE: The Laplace-Beltrami operator; Springer; 2013; 257-306  
dc.identifier.isbn
978-88-470-2592-9  
dc.identifier.uri
http://hdl.handle.net/11336/114857  
dc.description.abstract
We present several applications governed by geometric PDE, and their parametric finite element discretization, which might yield singular behavior. The success of such discretization hinges on an adequate variational formulation of the Laplace-Beltrami operator, which we describe in detail for polynomial degree 1. We next present a complete a posteriori error analysis which accounts for the usual PDE error as well as the geometric error induced by interpolation of the surface. This leads to an adaptive finite element method (AFEM) and its convergence. We discuss a contraction property of AFEM and show its quasi-optimal cardinality.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Laplace-Beltrami operator  
dc.subject
adaptive finite elements  
dc.subject
optimality  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
AFEM for geometric PDE: The Laplace-Beltrami operator  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.type
info:eu-repo/semantics/bookPart  
dc.type
info:ar-repo/semantics/parte de libro  
dc.date.updated
2020-08-05T16:59:10Z  
dc.journal.pagination
257-306  
dc.journal.pais
Alemania  
dc.description.fil
Fil: Bonito, Andrea. Texas A&M University; Estados Unidos  
dc.description.fil
Fil: Cascón, José Manuel. Universidad de Salamanca; España  
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: Nochetto, Ricardo Horacio. University of Maryland; Estados Unidos  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.springer.com/gp/book/9788847025912  
dc.conicet.paginas
365  
dc.source.titulo
Analysis and Numerics of Partial Differential Equations. Springer INdAM Series  

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