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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
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