High-order finite elements of complete and incomplete bases in electromagnetic-field computation

被引：1
|
作者：
Ren, Z
Ida, N
机构：
[1] Simplex Solut Inc, Sunnyvale, CA 94085 USA
[2] Univ Akron, Dept Elect Engn, Akron, OH 44325 USA
来源：
IEE PROCEEDINGS-SCIENCE MEASUREMENT AND TECHNOLOGY | 2002年 / 149卷 / 03期
关键词：
D O I：
10.1049/ip-smt:20020252
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：
Function spaces of high-order differential-forms-based finite elements of complete bases are analysed and compared with those of incomplete bases. Elements of complete and incomplete bases differ only in the null space of the differential operator. They model the same range space of the differential operator. A comparison of 1-form 2nd order hierarchical elements (hierarchical edge elements) of complete and incomplete bases is carried out through the example of an eddy-current problem. It is found that there is no significant difference in the accuracy of the results given by the two kinds of elements, as long as the ratio mesh size/skin depth is sufficiently small. However elements of complete bases are much more expensive to use.
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页码：147 / 151
页数：5
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