Volume 22, Issue 4
The Finite Element Analysis of the Controlled-Source Electromagnetic Induction Problems by Fractional-Step Projection Method

J. Comp. Math., 22 (2004), pp. 557-566.

Published online: 2004-08

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• 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 $1/2 < s ≤ 1$.

• Keywords

Controlled-source electromagnetic induction problems, Fractional-step projection method, Finite element, Error analysis.

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@Article{JCM-22-557, author = {Changfeng and Ma and and 15916 and and Changfeng Ma}, title = {The Finite Element Analysis of the Controlled-Source Electromagnetic Induction Problems by Fractional-Step Projection Method}, journal = {Journal of Computational Mathematics}, year = {2004}, volume = {22}, number = {4}, pages = {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 $1/2 < s ≤ 1$.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10305.html} }
TY - JOUR T1 - The Finite Element Analysis of the Controlled-Source Electromagnetic Induction Problems by Fractional-Step Projection Method AU - Ma , Changfeng JO - Journal of Computational Mathematics VL - 4 SP - 557 EP - 566 PY - 2004 DA - 2004/08 SN - 22 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10305.html KW - Controlled-source electromagnetic induction problems, Fractional-step projection method, Finite element, Error analysis. AB -

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 $1/2 < s ≤ 1$.

Changfeng Ma. (1970). The Finite Element Analysis of the Controlled-Source Electromagnetic Induction Problems by Fractional-Step Projection Method. Journal of Computational Mathematics. 22 (4). 557-566. doi:
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