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Geometric Formulation of Edge and Nodal Finite Element Equations in Electromagnetics

Geometric Formulation of Edge and Nodal Finite Element Equations in Electromagnetics
Geometric Formulation of Edge and Nodal Finite Element Equations in Electromagnetics
Finite element equations for electromagnetic fields are examined, in particular nodal elements using scalar potential formulation and edge elements for vector potential formulation. It is shown how the equations usually obtained via variational approach may be more conveniently derived using integral methods employing a geometrical description of the interpolating functions of edge and facet elements. Moreover, the resultant equations describe the equivalent multi-branch circuit models.
978-972-8822-24-8
OS1.3
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb

Demenko, A. and Sykulski, J.K. (2011) Geometric Formulation of Edge and Nodal Finite Element Equations in Electromagnetics. In, ISEF 2011 - XV International Symposium on Electromagnetic Fields in Mechatronics, Electrical and Electronic Engineering. OS1.3.

Record type: Book Section

Abstract

Finite element equations for electromagnetic fields are examined, in particular nodal elements using scalar potential formulation and edge elements for vector potential formulation. It is shown how the equations usually obtained via variational approach may be more conveniently derived using integral methods employing a geometrical description of the interpolating functions of edge and facet elements. Moreover, the resultant equations describe the equivalent multi-branch circuit models.

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More information

Published date: 1 September 2011
Additional Information: Funchal, Madeira, September 1-3, 2011 Chapter: OS1
Organisations: EEE

Identifiers

Local EPrints ID: 272762
URI: http://eprints.soton.ac.uk/id/eprint/272762
ISBN: 978-972-8822-24-8
PURE UUID: dde8351b-9989-4e3a-916d-a3291f1355f5
ORCID for J.K. Sykulski: ORCID iD orcid.org/0000-0001-6392-126X

Catalogue record

Date deposited: 12 Sep 2011 14:45
Last modified: 14 Dec 2018 01:39

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