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. Two formulations have been considered: 1) using the edge values of the magnetic vector potential A and the nodal values of the electric scalar potential V; and 2) expressed in terms of the edge values of both magnetic A and electric T-T0 vector potentials
Eddy currents, electrical engineering education, finite element method (FEM), finite integration technique (FIT), magnetic circuits.
3169-3172
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Wojciechowski, R.
69f13603-b50e-426a-ae22-931fae8503e5
August 2010
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.
(2010)
On the equivalence of finite element and finite integration formulations.
IEEE Transactions on Magnetics, 46 (8), .
(doi:10.1109/TMAG.2010.2043506).
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. Two formulations have been considered: 1) using the edge values of the magnetic vector potential A and the nodal values of the electric scalar potential V; and 2) expressed in terms of the edge values of both magnetic A and electric T-T0 vector potentials
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IEEE_Mag_v46n8_2010_p3169.pdf
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Published date: August 2010
Keywords:
Eddy currents, electrical engineering education, finite element method (FEM), finite integration technique (FIT), magnetic circuits.
Organisations:
EEE
Identifiers
Local EPrints ID: 271463
URI: http://eprints.soton.ac.uk/id/eprint/271463
ISSN: 0018-9464
PURE UUID: 0580dfae-d17f-43a8-80d3-35a33cb0a73d
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Date deposited: 05 Aug 2010 15:45
Last modified: 15 Mar 2024 02:34
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Author:
A. Demenko
Author:
J.K. Sykulski
Author:
R. Wojciechowski
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