The University of Southampton
University of Southampton Institutional Repository

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
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
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. 27 Jun - 01 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 - Other
Download (134kB)

More information

Published date: 28 June 2015
Venue - Dates: Compumag 2015, 2015-06-27 - 2015-07-01
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
ORCID for J.K. Sykulski: ORCID iD orcid.org/0000-0001-6392-126X

Catalogue record

Date deposited: 14 Sep 2015 14:26
Last modified: 07 Oct 2020 02:29

Export record

Contributors

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

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×