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

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

Published online: 2004-08

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• Abstract

This paper provides an onvergene analysis of a frational-step projetion method for the ontrolled-soure eletromagneti indution problems in heterogenous eletrially onduting 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 $O(h^s+\au)$) in the $L^2$ -norm for the magneti field H, where h is the mesh size and 1/2 < s < 1.

• Keywords

Controlled-soure eletromagneti indution problems Frational-step projetion method Finite element Error analysis

@Article{JCM-22-557, author = {}, 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 an onvergene analysis of a frational-step projetion method for the ontrolled-soure eletromagneti indution problems in heterogenous eletrially onduting 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 $O(h^s+\au)$) in the $L^2$ -norm for the magneti field 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 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-soure eletromagneti indution problems KW - Frational-step projetion method KW - Finite element KW - Error analysis AB - This paper provides an onvergene analysis of a frational-step projetion method for the ontrolled-soure eletromagneti indution problems in heterogenous eletrially onduting 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 $O(h^s+\au)$) in the $L^2$ -norm for the magneti field H, where h is the mesh size and 1/2 < s < 1.