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dc.contributor.author
Actis, Marcelo Jesús  
dc.contributor.author
Morin, Pedro  
dc.contributor.author
Schneider, Cornelia  
dc.date.available
2022-09-05T13:55:39Z  
dc.date.issued
2021-03  
dc.identifier.citation
Actis, Marcelo Jesús; Morin, Pedro; Schneider, Cornelia; Approximation classes for adaptive time-stepping finite element methods; Cornell University; ArXiv.org; 3-2021; 1-31  
dc.identifier.issn
2331-8422  
dc.identifier.uri
http://hdl.handle.net/11336/167321  
dc.description.abstract
We study approximation classes for adaptive time-stepping finite element methods for time-dependent Partial Differential Equations (PDE). We measure the approximation error in L2([0, T) × Ω) and consider the approximation with discontinuous finite elements in time and continuous finite elements in space, of any degree. As a byproduct we define Besov spaces for vector-valued functions on an interval and derive some embeddings, as well as Jackson- and Whitney-type estimates.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Cornell University  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/  
dc.subject
APPROXIMATION CLASSES  
dc.subject
ADAPTIVIVITY  
dc.subject
TIME-STEPPING FINITE ELEMENT METHODS  
dc.subject
BESOV SPACES  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Approximation classes for adaptive time-stepping finite element methods  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2022-08-29T13:51:00Z  
dc.journal.pagination
1-31  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Ithaca  
dc.description.fil
Fil: Actis, Marcelo Jesús. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina  
dc.description.fil
Fil: Morin, Pedro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe; Argentina. Universidad Nacional del Litoral. Facultad de Ingeniería Química; Argentina  
dc.description.fil
Fil: Schneider, Cornelia. Universitat Erlangen Nuremberg; Alemania  
dc.journal.title
ArXiv.org  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2103.06088  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.48550/arXiv.2103.06088