Year: 2004
Author: Changfeng Ma
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 661–670
Abstract
We propose in this paper an alternating A-$\phi$ method for the quasi-magnetostatic eddy current problem by means of finite element approximations. Bounds for continuous and discrete error in finite time are given. And it is verified that provided the time step $\tau$ is sufficiently small, the proposed algorithm yields for finite time $T$ an error of $O(h+\tau^{1/2})$ in the $L^2$-norm for the magnetic field $H(= \mu^{-1} \nabla \times A)$, where $h$ is the mesh size, $\mu$ the magnetic permeability.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-8865
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 661–670
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Eddy current problem Alternating $A-\phi$ method Finite element approximation Error estimate.