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On the equivalence of Finite Element and Finite Integration formulations

On the equivalence of Finite Element and Finite Integration formulations
On the equivalence of Finite Element and Finite Integration formulations
The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. The focus is on the Finite Element Method (FEM) and Finite Integration Technique (FIT), but with the cell and equivalent network approaches also considered. It is shown how the approximate integrals describing coefficients of the FEM need to be derived for a mesh with parallelepiped elements to achieve consistency with FIT equations. The equivalence of FEM and FIT formulations for a triangular mesh in 2D is highlighted. The TEAM Workshops Problem No. 7 is used as an example for numerical comparisons. Edge values of magnetic vector potential A and nodal values of electric scalar potential V are used throughout.
677-678
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J. K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Wojciechowski, R.
69f13603-b50e-426a-ae22-931fae8503e5
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J. K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Wojciechowski, R.
69f13603-b50e-426a-ae22-931fae8503e5

Demenko, A., Sykulski, J. K. and Wojciechowski, R. (2009) On the equivalence of Finite Element and Finite Integration formulations. 17th Conference on the Computation of Electromagnetic Fields COMPUMAG 2009, Brazil. 22 - 26 Nov 2009. pp. 677-678 .

Record type: Conference or Workshop Item (Poster)

Abstract

The paper offers a comparative study of numerical methods of analysis of electromagnetic fields. The focus is on the Finite Element Method (FEM) and Finite Integration Technique (FIT), but with the cell and equivalent network approaches also considered. It is shown how the approximate integrals describing coefficients of the FEM need to be derived for a mesh with parallelepiped elements to achieve consistency with FIT equations. The equivalence of FEM and FIT formulations for a triangular mesh in 2D is highlighted. The TEAM Workshops Problem No. 7 is used as an example for numerical comparisons. Edge values of magnetic vector potential A and nodal values of electric scalar potential V are used throughout.

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More information

Published date: 22 November 2009
Additional Information: Event Dates: 22 – 26 November 2009
Venue - Dates: 17th Conference on the Computation of Electromagnetic Fields COMPUMAG 2009, Brazil, 2009-11-22 - 2009-11-26
Organisations: EEE

Identifiers

Local EPrints ID: 268283
URI: http://eprints.soton.ac.uk/id/eprint/268283
PURE UUID: 11af4fc1-06cb-4d0d-a4e5-9a0cbc5b0359
ORCID for J. K. Sykulski: ORCID iD orcid.org/0000-0001-6392-126X

Catalogue record

Date deposited: 30 Nov 2009 09:59
Last modified: 06 Jun 2018 13:18

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Contributors

Author: A. Demenko
Author: J. K. Sykulski ORCID iD
Author: R. Wojciechowski

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