Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness

• Main Author: Matt, Michael A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Wiesbaden : Vieweg+Teubner Verlag, 2012.
• Subjects: Mathematics.; Applied mathematics.; Engineering mathematics.; Applications of Mathematics.

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...

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.