A C2 Trivariate Macroelement Based on the Worsey-Farin Split of a Tetrahedron

A C2 Trivariate Macroelement Based on the Worsey-Farin Split of a Tetrahedron
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基于四面体Worsey-Farin分裂的C2三变量宏观单元

DOI:
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发表时间:
2005
影响因子:
2.9
通讯作者:
L. Schumaker
L. Schumaker
中科院分区:
数学2区
文献类型:
--
作者:
P. Alfeld;L. Schumaker

文献摘要

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基于Worsey—Farin将一个四面体分割成12个亚四面体,构造了一个C^2三元元。该元素使用9度的上线,并提供光滑函数的最优阶逼近。
A $C^2$ trivariate macroelement is constructed based on the Worsey--Farin split of a tetrahedron into twelve subtetrahedra. The element uses supersplines of degree 9 and provides optimal order approximation of smooth functions.