@Article{JCM-22-5,
author = {Ma, Changfeng},
title = {Convergence of an Alternating A-$\phi$ Scheme for Quasi-Magnetostatics Eddy Current Problem},
journal = {Journal of Computational Mathematics},
year = {2004},
volume = {22},
number = {5},
pages = {661--670},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7139},
doi = {https://doi.org/2004-JCM-8865},
url = {https://global-sci.com/article/85252/convergence-of-an-alternating-a-phi-scheme-for-quasi-magnetostatics-eddy-current-problem}
}