Third-order Nédélec tetrahedral finite element

A. J. Ruiz Genovés, L. E. García-Castillo, M. Salazar-Palma, T. K. Sarkar

Research output: Contribution to journalConference article

1 Scopus citations

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 languageEnglish (US)
Pages (from-to)196-199
Number of pages4
JournalIEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
Volume3
StatePublished - Nov 26 2001
Event2001 IEEE Antennas and Propagation Society International Symposium -FDTD and Multi-Resolution Methods- - Boston, MA, United States
Duration: Jul 8 2001Jul 13 2001

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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    Ruiz Genovés, A. J., García-Castillo, L. E., Salazar-Palma, M., & Sarkar, T. K. (2001). Third-order Nédélec tetrahedral finite element. IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), 3, 196-199.