Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness

• Κύριος συγγραφέας: Matt, Michael A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Wiesbaden : Vieweg+Teubner Verlag, 2012.
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.