Third-order Nédélec curl-conforming finite element

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

doi:10.1109/INTMAG.2002.1000744

Third-order Nédélec curl-conforming finite element

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

Department of Electrical Engineering & Computer Science

Research output: Chapter in Book/Entry/Poem › Conference contribution

1 Scopus citations

Abstract

Curl-conforming elements approximate the unknown vector field along the boundary of the finite element in terms of the tangential component of the field over the boundary by means of vectorial basis functions. Thus, they are appropiate for the approximation of the magnetic (or electric) field. Among the curl-conforming elements in the literature, it is worth mentioning the so called mixed order elements proposed by the mathematician Nédélec (1980). We present the finite element implementation of the third-order Nédélec element over 2D and 3D simplices (i e., triangles and tetrahedrons).

Original language	English (US)
Title of host publication	INTERMAG Europe 2002 - IEEE International Magnetics Conference
Editors	J. Fidler, B. Hillebrands, C. Ross, D. Weller, L. Folks, E. Hill, M. Vazquez Villalabeitia, J. A. Bain, Jo De Boeck, R. Wood
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	0780373650, 9780780373655
DOIs	https://doi.org/10.1109/INTMAG.2002.1000744
State	Published - 2002
Event	2002 IEEE International Magnetics Conference, INTERMAG Europe 2002 - Amsterdam, Netherlands Duration: Apr 28 2002 → May 2 2002

Publication series

Name	INTERMAG Europe 2002 - IEEE International Magnetics Conference

Other

Other	2002 IEEE International Magnetics Conference, INTERMAG Europe 2002
Country/Territory	Netherlands
City	Amsterdam
Period	4/28/02 → 5/2/02

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Electrical and Electronic Engineering
Surfaces, Coatings and Films

Access to Document

10.1109/INTMAG.2002.1000744

Cite this

García-Castillo, L. E., Ruiz-Genovés, A. J., Salazar-Palma, M., & Sarkar, T. K. (2002). Third-order Nédélec curl-conforming finite element. In J. Fidler, B. Hillebrands, C. Ross, D. Weller, L. Folks, E. Hill, M. Vazquez Villalabeitia, J. A. Bain, J. De Boeck, & R. Wood (Eds.), INTERMAG Europe 2002 - IEEE International Magnetics Conference Article 1000744 (INTERMAG Europe 2002 - IEEE International Magnetics Conference). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/INTMAG.2002.1000744

Third-order Nédélec curl-conforming finite element. / García-Castillo, L. E.; Ruiz-Genovés, A. J.; Salazar-Palma, M. et al.
INTERMAG Europe 2002 - IEEE International Magnetics Conference. ed. / J. Fidler; B. Hillebrands; C. Ross; D. Weller; L. Folks; E. Hill; M. Vazquez Villalabeitia; J. A. Bain; Jo De Boeck; R. Wood. Institute of Electrical and Electronics Engineers Inc., 2002. 1000744 (INTERMAG Europe 2002 - IEEE International Magnetics Conference).

Research output: Chapter in Book/Entry/Poem › Conference contribution

García-Castillo, LE, Ruiz-Genovés, AJ, Salazar-Palma, M & Sarkar, TK 2002, Third-order Nédélec curl-conforming finite element. in J Fidler, B Hillebrands, C Ross, D Weller, L Folks, E Hill, M Vazquez Villalabeitia, JA Bain, J De Boeck & R Wood (eds), INTERMAG Europe 2002 - IEEE International Magnetics Conference., 1000744, INTERMAG Europe 2002 - IEEE International Magnetics Conference, Institute of Electrical and Electronics Engineers Inc., 2002 IEEE International Magnetics Conference, INTERMAG Europe 2002, Amsterdam, Netherlands, 4/28/02. https://doi.org/10.1109/INTMAG.2002.1000744

García-Castillo LE, Ruiz-Genovés AJ, Salazar-Palma M, Sarkar TK. Third-order Nédélec curl-conforming finite element. In Fidler J, Hillebrands B, Ross C, Weller D, Folks L, Hill E, Vazquez Villalabeitia M, Bain JA, De Boeck J, Wood R, editors, INTERMAG Europe 2002 - IEEE International Magnetics Conference. Institute of Electrical and Electronics Engineers Inc. 2002. 1000744. (INTERMAG Europe 2002 - IEEE International Magnetics Conference). doi: 10.1109/INTMAG.2002.1000744

García-Castillo, L. E. ; Ruiz-Genovés, A. J. ; Salazar-Palma, M. et al. / Third-order Nédélec curl-conforming finite element. INTERMAG Europe 2002 - IEEE International Magnetics Conference. editor / J. Fidler ; B. Hillebrands ; C. Ross ; D. Weller ; L. Folks ; E. Hill ; M. Vazquez Villalabeitia ; J. A. Bain ; Jo De Boeck ; R. Wood. Institute of Electrical and Electronics Engineers Inc., 2002. (INTERMAG Europe 2002 - IEEE International Magnetics Conference).

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Third-order Nédélec curl-conforming finite element

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