Third-order Nédélec curl-conforming finite element

L. E. García-Castillo; A. J. Ruiz-Genovés; M. Salazar-Palma; Tapan Kumar 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, Tapan Kumar 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
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

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

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10.1109/INTMAG.2002.1000744

Cite this

García-Castillo, LE, Ruiz-Genovés, AJ, Salazar-Palma, M & Sarkar, TK 2002, Third-order Nédélec curl-conforming finite element. in INTERMAG Europe 2002 - IEEE International Magnetics Conference., 1000744, 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

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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 N{\'e}d{\'e}lec (1980). We present the finite element implementation of the third-order N{\'e}d{\'e}lec element over 2D and 3D simplices (i e., triangles and tetrahedrons).",

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AB - 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).

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T2 - 2002 IEEE International Magnetics Conference, INTERMAG Europe 2002

Y2 - 28 April 2002 through 2 May 2002

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Third-order Nédélec curl-conforming finite element

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