Third-order Nédéc curl-conforming finite element

Luise E. García-Castillo, A. J. Ruiz-Genovés, I. Gómez-Revuelto, M. Salazar-Palma, T. K. Sarkar

Research output: Contribution to journalConference article

13 Scopus citations

Abstract

The third-order version of Nédélec's first family of curl-conforming elements over simplices is presented. Following the definition of the element given by Nédélec, the third-order vector basis functions are deduced. The elements thus obtained exhibit some important differences with respect to other higher-order curl-conforming elements appeared in the literature. Among other features, the proposed third-order curl-conforming finite element leads to better conditioned finite-element method matrices.

Original languageEnglish (US)
Pages (from-to)2370-2372
Number of pages3
JournalIEEE Transactions on Magnetics
Volume38
Issue number5 I
DOIs
StatePublished - Sep 1 2002
Event2002 International Magnetics Conference (Intermag 2002) - Amsterdam, Netherlands
Duration: Apr 28 2002May 2 2002

Keywords

  • Curl-conforming element
  • Finite element calculations
  • Nédélec elements
  • Third-order element

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

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    García-Castillo, L. E., Ruiz-Genovés, A. J., Gómez-Revuelto, I., Salazar-Palma, M., & Sarkar, T. K. (2002). Third-order Nédéc curl-conforming finite element. IEEE Transactions on Magnetics, 38(5 I), 2370-2372. https://doi.org/10.1109/TMAG.2002.803577