Third-order Nédéc curl-conforming finite element

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

doi:10.1109/TMAG.2002.803577

Third-order Nédéc curl-conforming finite element

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

Department of Electrical Engineering & Computer Science

Research output: Contribution to journal › Conference Article › peer-review

14 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 language	English (US)
Pages (from-to)	2370-2372
Number of pages	3
Journal	IEEE Transactions on Magnetics
Volume	38
Issue number	5 I
DOIs	https://doi.org/10.1109/TMAG.2002.803577
State	Published - Sep 2002
Event	2002 International Magnetics Conference (Intermag 2002) - Amsterdam, Netherlands Duration: Apr 28 2002 → May 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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10.1109/TMAG.2002.803577

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title = "Third-order N{\'e}d{\'e}c curl-conforming finite element",

abstract = "The third-order version of N{\'e}d{\'e}lec's first family of curl-conforming elements over simplices is presented. Following the definition of the element given by N{\'e}d{\'e}lec, 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.",

keywords = "Curl-conforming element, Finite element calculations, N{\'e}d{\'e}lec elements, Third-order element",

author = "Garc{\'i}a-Castillo, {Luise E.} and Ruiz-Genov{\'e}s, {A. J.} and I. G{\'o}mez-Revuelto and M. Salazar-Palma and Sarkar, {T. K.}",

note = "Funding Information: Manuscript received February 15, 2002; revised May 28, 2002. This work was supported in part by the Ministerio de Ciencia y Tecnolog{\'i}a of Spain under Project TIC2001-1019 and Project TIC1999-1172-C02-01/02.; 2002 International Magnetics Conference (Intermag 2002) ; Conference date: 28-04-2002 Through 02-05-2002",

year = "2002",

month = sep,

doi = "10.1109/TMAG.2002.803577",

language = "English (US)",

volume = "38",

pages = "2370--2372",

journal = "IEEE Transactions on Magnetics",

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publisher = "Institute of Electrical and Electronics Engineers Inc.",

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T1 - Third-order Nédéc curl-conforming finite element

AU - García-Castillo, Luise E.

AU - Ruiz-Genovés, A. J.

AU - Gómez-Revuelto, I.

AU - Salazar-Palma, M.

AU - Sarkar, T. K.

N1 - Funding Information: Manuscript received February 15, 2002; revised May 28, 2002. This work was supported in part by the Ministerio de Ciencia y Tecnología of Spain under Project TIC2001-1019 and Project TIC1999-1172-C02-01/02.

PY - 2002/9

Y1 - 2002/9

N2 - 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.

AB - 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.

KW - Curl-conforming element

KW - Finite element calculations

KW - Nédélec elements

KW - Third-order element

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U2 - 10.1109/TMAG.2002.803577

DO - 10.1109/TMAG.2002.803577

M3 - Conference Article

AN - SCOPUS:0036762339

SN - 0018-9464

VL - 38

SP - 2370

EP - 2372

JO - IEEE Transactions on Magnetics

JF - IEEE Transactions on Magnetics

IS - 5 I

T2 - 2002 International Magnetics Conference (Intermag 2002)

Y2 - 28 April 2002 through 2 May 2002

ER -

Third-order Nédéc curl-conforming finite element

Abstract

Keywords

ASJC Scopus subject areas

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