Systematic construction of three-dimensional ultra high-order Nedelec's elements

被引:3
|
作者
Hano, Mitsuo [1 ]
Komatsu, Hiromichi [1 ]
Taniguchi, Kenichi [1 ]
机构
[1] Yamaguchi Univ, Ube, Japan
关键词
Error analysis - Finite element method - Polynomials - Vectors;
D O I
10.1109/20.877752
中图分类号
学科分类号
摘要
A new systematic construction of the three-dimensional ultra high-order Nedelec's elements is presented in this paper. It is proposed that a set of vector basis functions be simply chosen out of irrotational and rotational vector polynomials. Vector shape functions of the element are uniquely derived by the conditions modified from the scalar elements. The significance of the positions and directions of the arrows in the Nedelec's element is described. The higher order elements are also implemented in a cavity analysis.
引用
收藏
页码:1623 / 1626
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