On the Equivalence of Finite Difference and Finite Element Formulations in Magnetic Field Analysis
On the Equivalence of Finite Difference and Finite Element Formulations in Magnetic Field Analysis
Numerical 3D formulations using scalar and vector A potentials are examined for magnetic fields, with emphasis on the finite difference (FDM) and finite element (FEM) methods using nodal and facet elements. It is shown that for hexahedral elements the FDM equations may be presented in a form similar to the FEM equations; to accomplish this the coefficients defining volume integrals in FEM need to be expressed in an approximate manner, while the nodes in FDM require supplementary association with middle points of edges, facets and volumes.
Magnetic fields, finite difference methods, finite element analysis, functional analysis, education.
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
28 June 2015
Demenko, A.
4f2e9586-6a46-44e6-8573-ce6613cc3032
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Demenko, A. and Sykulski, J.K.
(2015)
On the Equivalence of Finite Difference and Finite Element Formulations in Magnetic Field Analysis.
Compumag 2015.
28 Jun - 02 Jul 2015.
2 pp
.
Record type:
Conference or Workshop Item
(Paper)
Abstract
Numerical 3D formulations using scalar and vector A potentials are examined for magnetic fields, with emphasis on the finite difference (FDM) and finite element (FEM) methods using nodal and facet elements. It is shown that for hexahedral elements the FDM equations may be presented in a form similar to the FEM equations; to accomplish this the coefficients defining volume integrals in FEM need to be expressed in an approximate manner, while the nodes in FDM require supplementary association with middle points of edges, facets and volumes.
Text
OA2-2 Demenko-On the Equivalence of Finite Difference and Finite Element Formulations.pdf
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More information
Published date: 28 June 2015
Venue - Dates:
Compumag 2015, 2015-06-28 - 2015-07-02
Keywords:
Magnetic fields, finite difference methods, finite element analysis, functional analysis, education.
Organisations:
EEE
Identifiers
Local EPrints ID: 381560
URI: http://eprints.soton.ac.uk/id/eprint/381560
PURE UUID: ee26faa3-a9a3-4771-9bad-d2d6c13c6b2b
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Date deposited: 14 Sep 2015 14:26
Last modified: 15 Mar 2024 02:34
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Contributors
Author:
A. Demenko
Author:
J.K. Sykulski
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