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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Detalles Bibliográficos
Autor principal: Acosta Rodriguez, Gabriel
Publicado: 2017
Materias:
Anisotropic finite elements
Lagrange interpolation
Maximum angle condition
Minimum angle condition
Quadrilateral elements
Interpolation
Lagrange interpolations
Lagrange multipliers
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770427_v317_n_p218_Acosta
http://hdl.handle.net/20.500.12110/paper_03770427_v317_n_p218_Acosta
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03770427_v317_n_p218_Acosta
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spelling paper:paper_03770427_v317_n_p218_Acosta2023-06-08T15:38:58Z The minimal angle condition for quadrilateral finite elements of arbitrary degree Acosta Rodriguez, Gabriel 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770427_v317_n_p218_Acosta 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 Rodriguez, Gabriel
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.
author Acosta Rodriguez, Gabriel
author_facet Acosta Rodriguez, Gabriel
author_sort Acosta Rodriguez, Gabriel
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
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03770427_v317_n_p218_Acosta
http://hdl.handle.net/20.500.12110/paper_03770427_v317_n_p218_Acosta
work_keys_str_mv AT acostarodriguezgabriel theminimalangleconditionforquadrilateralfiniteelementsofarbitrarydegree
AT acostarodriguezgabriel minimalangleconditionforquadrilateralfiniteelementsofarbitrarydegree
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