open access

https://hdl.handle.net/2115/48389

Why Error Correction Methods Realize Fast Computations

英語

quasi-static electromagnetic field

2012-02

IEEE

IEEE Transactions on Magnetics

48(2)

415-418

In this paper, deflation method, A-phi method, explicit and implicit error correction (EC) methods and time-periodic explicit error correction (TP-EEC) method are shown to be based on the same mathematical principle that the slowly converging errors are effectively eliminated through the EC process while the fast converging errors are reduced by iterative linear solvers. The properties of the TP-EEC are discussed in detail and the EC is shown to work as an error filter. The numerical experiments show that the error reduction in the time-periodic eddy current problem is in good agreement with those predicted by the present theory.

学術雑誌論文

Accepted Manuscript

© 2012 IEEE. Reprinted, with permission, from Igarashi, H., Watanabe, Y., Ito, Y., Why Error Correction Methods Realize Fast Computations, IEEE Transactions on Magnetics, Feb. 2012. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Hokkaido University products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.

0018-9464