Smooth macro-elements based on Clough-Tocher triangle splits

被引：30
作者：
Alfeld, P
Schumaker, LL [1 ]
机构：
[1] Vanderbilt Univ, Dept Math, Nashville, TN 37240 USA
[2] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA
来源：
NUMERISCHE MATHEMATIK | 2002年 / 90卷 / 04期
关键词：
D O I：
10.1007/s002110100304
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Macro-elements of smoothness C-r on Clough-Tocher triangle splits are constructed for all r greater than or equal to 0. These new elements are improvements on elements constructed in [11] in that (disproving a conjecture made there) certain unneeded degrees of freedom have been removed. Numerical experiments on Hermite interpolation with the new elements are included.
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页码：597 / 616
页数：20
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