A C1 TETRAHEDRAL FINITE ELEMENT WITHOUT EDGE DEGREES OF FREEDOM

被引：5
|
作者：
Walkington, Noel J. [1 ]
机构：
[1] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2014年 / 52卷 / 01期
基金：
美国国家科学基金会;
关键词：
C-1; tetrahedron; C-1 finite element; reduced finite element;
D O I：
10.1137/130912013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A composite C-1 tetrahedral finite element is developed which does not have any edge degrees of freedom. This eliminates the need to associate a basis for the planes perpendicular to each edge; such a basis cannot depend continuously upon the edge orientation. The finite element space is piecewise polynomial over the four tetrahedra formed by adding the circumcenter, and their traces on each face belong to the (two-dimensional) Bell subspace.
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页码：330 / 342
页数：13
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