Third-order Nédélec curl-conforming finite element

Luise E. García-Castillo; Antonio J. Ruiz-Genovés; Magdalena Salazar-Palma; Tapan K. Sarkar

Third-order Nédélec curl-conforming finite element

Luise E. García-Castillo, Antonio J. Ruiz-Genovés, Magdalena Salazar-Palma, Tapan K. Sarkar

Department of Electrical Engineering & Computer Science

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

Abstract

A finite element implementation of the third-order Nedelec element over 2D and 3D simplices is presented. The triangular element is obtained by considering one face of the tetrahedron leading to 15 dof. For different third-order elements proposed, the condition numbers of the matrix obtained by the inner products of the normalized vector basis functions (norm equal to 1) are presented.

Original language	English (US)
Pages (from-to)	AU01
Journal	Digests of the Intermag Conference
State	Published - 2002
Event	2002 IEEE International Magnetics Conference-2002 IEEE INTERMAG - Amsterdam, Netherlands Duration: Apr 28 2002 → May 2 2002

ASJC Scopus subject areas

Electrical and Electronic Engineering

Cite this

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

abstract = "A finite element implementation of the third-order Nedelec element over 2D and 3D simplices is presented. The triangular element is obtained by considering one face of the tetrahedron leading to 15 dof. For different third-order elements proposed, the condition numbers of the matrix obtained by the inner products of the normalized vector basis functions (norm equal to 1) are presented.",

author = "Garc{\'i}a-Castillo, {Luise E.} and Ruiz-Genov{\'e}s, {Antonio J.} and Magdalena Salazar-Palma and Sarkar, {Tapan K.}",

year = "2002",

language = "English (US)",

pages = "AU01",

journal = "Digests of the Intermag Conference",

issn = "0074-6843",

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

note = "2002 IEEE International Magnetics Conference-2002 IEEE INTERMAG ; Conference date: 28-04-2002 Through 02-05-2002",

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TY - JOUR

T1 - Third-order Nédélec curl-conforming finite element

AU - García-Castillo, Luise E.

AU - Ruiz-Genovés, Antonio J.

AU - Salazar-Palma, Magdalena

AU - Sarkar, Tapan K.

PY - 2002

Y1 - 2002

N2 - A finite element implementation of the third-order Nedelec element over 2D and 3D simplices is presented. The triangular element is obtained by considering one face of the tetrahedron leading to 15 dof. For different third-order elements proposed, the condition numbers of the matrix obtained by the inner products of the normalized vector basis functions (norm equal to 1) are presented.

AB - A finite element implementation of the third-order Nedelec element over 2D and 3D simplices is presented. The triangular element is obtained by considering one face of the tetrahedron leading to 15 dof. For different third-order elements proposed, the condition numbers of the matrix obtained by the inner products of the normalized vector basis functions (norm equal to 1) are presented.

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M3 - Conference Article

AN - SCOPUS:0036912684

SN - 0074-6843

SP - AU01

JO - Digests of the Intermag Conference

JF - Digests of the Intermag Conference

T2 - 2002 IEEE International Magnetics Conference-2002 IEEE INTERMAG

Y2 - 28 April 2002 through 2 May 2002

ER -

Third-order Nédélec curl-conforming finite element

Abstract

ASJC Scopus subject areas

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