The minimal angle condition for quadrilateral finite elements of arbitrary degree

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...

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Autores principales: Acosta, G., Monzón, G.
Formato: JOUR
Materias:
Anisotropic finite elements
Lagrange interpolation
Maximum angle condition
Minimum angle condition
Quadrilateral elements
Interpolation
Lagrange interpolations
Lagrange multipliers
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03770427_v317_n_p218_Acosta
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_03770427_v317_n_p218_Acosta2023-10-03T15:31:29Z The minimal angle condition for quadrilateral finite elements of arbitrary degree Acosta, G. Monzón, G. Anisotropic finite elements Lagrange interpolation Maximum angle condition Minimum angle condition Quadrilateral elements Interpolation Anisotropic finite elements Lagrange interpolations Maximum angle condition Minimum angle condition Quadrilateral elements Lagrange multipliers 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. © 2016 Elsevier B.V. Fil:Acosta, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_03770427_v317_n_p218_Acosta
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Anisotropic finite elements
Lagrange interpolation
Maximum angle condition
Minimum angle condition
Quadrilateral elements
Interpolation
Anisotropic finite elements
Lagrange interpolations
Maximum angle condition
Minimum angle condition
Quadrilateral elements
Lagrange multipliers
spellingShingle Anisotropic finite elements
Lagrange interpolation
Maximum angle condition
Minimum angle condition
Quadrilateral elements
Interpolation
Anisotropic finite elements
Lagrange interpolations
Maximum angle condition
Minimum angle condition
Quadrilateral elements
Lagrange multipliers
Acosta, G.
Monzón, G.
The minimal angle condition for quadrilateral finite elements of arbitrary degree
topic_facet Anisotropic finite elements
Lagrange interpolation
Maximum angle condition
Minimum angle condition
Quadrilateral elements
Interpolation
Anisotropic finite elements
Lagrange interpolations
Maximum angle condition
Minimum angle condition
Quadrilateral elements
Lagrange multipliers
description 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. © 2016 Elsevier B.V.
format JOUR
author Acosta, G.
Monzón, G.
author_facet Acosta, G.
Monzón, G.
author_sort Acosta, G.
title The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_short The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_full The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_fullStr The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_full_unstemmed The minimal angle condition for quadrilateral finite elements of arbitrary degree
title_sort minimal angle condition for quadrilateral finite elements of arbitrary degree
url http://hdl.handle.net/20.500.12110/paper_03770427_v317_n_p218_Acosta
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AT monzong theminimalangleconditionforquadrilateralfiniteelementsofarbitrarydegree
AT acostag minimalangleconditionforquadrilateralfiniteelementsofarbitrarydegree
AT monzong minimalangleconditionforquadrilateralfiniteelementsofarbitrarydegree
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