Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness
(Sprache: Englisch)
In this work, we construct 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...
Leider schon ausverkauft
versandkostenfrei
Buch
79.95 €
Produktdetails
Produktinformationen zu „Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness “
Klappentext zu „Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness “
In this work, we construct 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 other one is the first trivariate Lagrange interpolation method using C2 splines. It is based on arbitrary tetrahedral partitions using splines of degree nine. We construct trivariate macro-elements based on the Alfeld, where each tetrahedron is divided into four subtetrahedra, and the Worsey-Farin split, where each tetrahedron is divided into twelve subtetrahedra, of a tetra-hedral partition. In order to obtain the macro-elements based on the Worsey-Farin split we construct minimal determining sets for Cr macro-elements over the Clough-Tocher split of a triangle, which are more variable than those in the literature.
Inhaltsverzeichnis zu „Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness “
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.
Autoren-Porträt von Michael A. Matt
Michael A. Matt studied multivariate spline theory at the University of Mannheim, especially macro-element methods and Lagrange interpolation. He currently works at the Institute for Mathematics at the University of Mannheim.
Bibliographische Angaben
- Autor: Michael A. Matt
- 390 Seiten, 87 Abbildungen, Maße: 21 cm, Kartoniert (TB), Englisch
- Verlag: Vieweg+Teubner
- ISBN-10: 3834823929
- ISBN-13: 9783834823922
Sprache:
Englisch
Kommentar zu "Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness"
0 Gebrauchte Artikel zu „Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Trivariate Local Lagrange Interpolation and Macro-Elements of Arbitrary Smoothness".
Kommentar verfassen