Abstract
The implementation of the third-order tetrahedral version of Nedelec's first family of curl-conforming elements was analyzed. The third-order vectorial basis functions of the element were deduced on the basis of the element's definition provided by Nedelec. The obtained element exhibited differences with respect to other higher-order curl-conforming elements, and the proposed third-order curl-conforming finite element led to better conditioned finite element method (FEM) matrices. The condition number of the matrix corresponding to the inner products of the finite element basis functions in the parent element was defined as the ratio of the maximum and minimum eigenvalue of the matrix.
| Original language | English (US) |
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| Pages (from-to) | 196-199 |
| Number of pages | 4 |
| Journal | IEEE Antennas and Propagation Society, AP-S International Symposium (Digest) |
| Volume | 3 |
| State | Published - 2001 |
| Event | 2001 IEEE Antennas and Propagation Society International Symposium -FDTD and Multi-Resolution Methods- - Boston, MA, United States Duration: Jul 8 2001 → Jul 13 2001 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering