Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness

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 partiti...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Matt, Michael Andreas (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Wiesbaden : Vieweg+Teubner Verlag : Imprint: Vieweg+Teubner Verlag, 2012.
Edition:1st ed. 2012.
Subjects:
Mathematics.
Applications of Mathematics.
Online Access:Texto Completo
Table of Contents:
  • 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.

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