2012 | OriginalPaper | Chapter
A Lagrange Interpolation Method by Trivariate Cubic C 1 Splines of Low Locality
Authors : G. Nürnberger, G. Schneider
Published in: Approximation Theory XIII: San Antonio 2010
Publisher: Springer New York
Activate our intelligent search to find suitable subject content or patents.
Select sections of text to find matching patents with Artificial Intelligence. powered by
Select sections of text to find additional relevant content using AI-assisted search. powered by
We develop a local Lagrange interpolation method for trivariate cubic
C
1
splines. The splines are constructed on a uniform partition consisting of octahedra (with one additional edge) and tetrahedra. The method is 2-local and stable and therefore yields optimal approximation order. The numerical results and visualizations confirm the efficiency of the method.