The books you love, the emails you want
Time is running out, opt in before 25 May or you'll stop hearing from us
Trivariate Local Lagrange Interpolation and Macro Elements of Arbitrary Smoothness (Paperback)Michael Andreas Matt (author)
Paperback 390 Pages / Published: 31/12/2012
- Out of stock
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.
Publisher: Springer Fachmedien Wiesbaden
Number of pages: 390
Dimensions: 210 x 148 mm
Edition: 2012 ed.
You may also be interested in...
Please sign in to write a review
Thank you for your reservation
Your order is now being processed and we have sent a confirmation email to you at
When will my order be ready to collect?
Call us on or send us an email at
Unfortunately there has been a problem with your order
Please try again or alternatively you can contact your chosen shop on or send us an email at