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Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness

  • Couverture cartonnée
  • 370 Nombre de pages
Dr. Michael A. Matt completed his doctoral thesis under the supervision of Prof. Dr. Günther Nürnberger at the Chair of Mathemati... Lire la suite
CHF 144.00
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Description

Auteur

Dr. Michael A. Matt completed his doctoral thesis under the supervision of Prof. Dr. Günther Nürnberger at the Chair of Mathematics IV, University of Mannheim.



Texte du rabat

Michael A. Matt constructs two trivariate local Lagrange interpolation methods which yield optimal approximation order and Cr macro-elements based on the Alfeld and the Worsey-Farin split of a tetrahedral partition. The first interpolation method is based on cubic C1 splines over type-4 cube partitions, for which numerical tests are given. The second is the first trivariate Lagrange interpolation method using C2 splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. The author constructs trivariate macro-elements based on the Alfeld split, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetrahedral partition. In order to obtain the macro-elements based on the Worsey-Farin split minimal determining sets for Cr macro-elements are constructed over the Clough-Tocher split of a triangle, which are more variable than those in the literature.



Contenu

Lagrange Interpolation on Type-4 Partitions.- Trivariate Lagrange Interpolation with C² Splines.- Cr Macro-Element over the Clough-Tocher Split.- Cr Macro-Element over the Alfeld Split.- Cr Macro-Element over the Worsey Farin Split.

Détails sur le produit

Titre: Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness
Auteur:
Code EAN: 9783834823830
ISBN: 978-3-8348-2383-0
Format: Couverture cartonnée
Editeur: Vieweg+Teubner Verlag
Genre: Mathématique
nombre de pages: 370
Poids: 507g
Taille: H218mm x B154mm x T23mm
Année: 2012
Auflage: 2012. 2012