Document Type

Article

Language

eng

Publication Date

1982

Publisher

American Institute of Physics

Source Publication

Journal of Applied Physics

Source ISSN

0021-8979

Abstract

In this paper, particular attention is paid to the impact of finite‐element approximation on uniqueness and to approximations implicit in finite element formulations from the uniqueness requirements standpoint. It is also shown that the flux density is unique without qualifications. The theoretical and numerical uniqueness of the magnetic vector potential in three‐dimensional problems is also given. This analysis is restricted to linear, isotropic media with Dirichlet Boundary conditions. As an interesting consequence of this analysis it is shown that, under usual conditions adopted in obtaining three‐dimensional finite‐element solutions, it is not necessary to specify div Ā in order that Ā be uniquely defined.

Comments

Accepted verison. Journal of Applied Physics, Vol. 53, No. 11 (November 1987): 8402-8404. DOI. © 2019 AIP Publishing LLC. Used with permission.

N.A. Demerdash was affiliated with Virginia Polytechnic Institute and State University at the time of publication.

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