The Finite Element Analysis of the Controlled-Source Electromagnetic Induction Problems by Fractional-Step Projection Method
Year: 2004
Author: Changfeng Ma
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 557–566
Abstract
This paper provides a convergence analysis of a fractional-step projection method for the controlled-source electromagnetic induction problems in heterogenous electrically conduting media by means of finite element approximations. Error estimates 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 $\mathcal{O}(h^s+\tau)$) in the $L^2$-norm for the magnetic field $\boldsymbol{H},$ where $h$ is the mesh size and $1/2 < s ≤ 1$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-10305
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 4 : pp. 557–566
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Controlled-source electromagnetic induction problems Fractional-step projection method Finite element Error analysis.