An Explicit Local Basis for C¹ Cubic Spline Spaces Over a Triangulated Quadrangulation

Description

Let S31(?) be the bivariate C1-cubic spline space over a triangulated quadrangulation ?. In this paper, an explicit representation of a locally supported basis of S31(?) is given using the interpolation conditions at vertices.

Links & Downloads

1. https://dc.etsu.edu/etsu-works/14011
2. https://doi.org/10.1016/S0377-0427(02)00900-7

Tags

bivariate C -cubic spline 1

local basis

triangulated quadrangulation

Additional Fields

Identifer	oai:union.ndltd.org:ETSU/oai:dc.etsu.edu:etsu-works-15277
Date	01 June 2003
Creators	Liu, Huan Wen, Hong, Don
Publisher	Digital Commons @ East Tennessee State University
Source Sets	East Tennessee State University
Detected Language	English
Type	text
Source	ETSU Faculty Works