Polygonal finite elements

被引：13
|
作者：
Euler, T [1 ]
Schuhmann, R [1 ]
Weiland, T [1 ]
机构：
[1] Tech Univ Darmstadt, Inst Theorie Elektromagnet Felder, Fachbereich Elektrotech & Informationstech, D-64289 Darmstadt, Germany
来源：
IEEE TRANSACTIONS ON MAGNETICS | 2006年 / 42卷 / 04期
关键词：
basis functions for polygons; finite element method (FEM); finite integration technique (FIT); subgridding; Whitney forms;
D O I：
10.1109/TMAG.2006.871375
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A new class of finite element basis functions for arbitrary polygons is presented. The approximation spaces fulfill the same commuting properties as the standard Whitney approximation spaces. An example for the application of the new basis functions to a standard problem formulated with the finite integration technique (FIT) or the finite element method is given. The special choice of elements in the example suggests a rigorous implementation of subgridding in FIT/finite-difference time-domain schemes.
引用
收藏
页码：675 / 678
页数：4
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