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dc.contributor.author
Acosta Rodriguez, Gabriel
dc.contributor.author
Monzón, Gabriel
dc.date.available
2018-08-15T11:16:52Z
dc.date.issued
2017-06
dc.identifier.citation
Acosta Rodriguez, Gabriel; Monzón, Gabriel; The minimal angle condition for quadrilateral finite elements of arbitrary degree; Elsevier Science; Journal Of Computational And Applied Mathematics; 317; 6-2017; 218-234
dc.identifier.issn
0377-0427
dc.identifier.uri
http://hdl.handle.net/11336/55567
dc.description.abstract
We study W1,p Lagrange interpolation error estimates for general quadrilateral Qk finite elements with k≥2. For the most standard case of p=2 it turns out that the constant C involved in the error estimate can be bounded in terms of the minimal interior angle of the quadrilateral. Moreover, the same holds for any p in the range 1≤p<3. On the other hand, for 3≤p we show that C also depends on the maximal interior angle. We provide some counterexamples showing that our results are sharp.
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
Anisotropic Finite Elements
dc.subject
Lagrange Interpolation
dc.subject
Maximum Angle Condition
dc.subject
Minimum Angle Condition
dc.subject
Quadrilateral Elements
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
The minimal angle condition for quadrilateral finite elements of arbitrary degree
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-08-14T14:02:13Z
dc.journal.volume
317
dc.journal.pagination
218-234
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Acosta Rodriguez, Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
dc.description.fil
Fil: Monzón, Gabriel. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
dc.journal.title
Journal Of Computational And Applied Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0377042716305830
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cam.2016.11.041
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