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Eddy Current Analyses by Domain Decomposition Method Using Double-Double Precision

Mizuma Takehito1,*, Takei Amane1
University of Miyazaki, 1-1, Gakuen Kibanadainishi, Miyazakishi, Miyazaki, Japan.
*Corresponding Author: Mizuma Takehito. Email: -u.ac.jp.

Computer Modeling in Engineering & Sciences 2018, 116(3), 349-363. https://doi.org/ 10.31614/cmes.2018.01714

Abstract

A matrix equation solved in an eddy current analysis, A-ϕ method based on a domain decomposition method becomes a complex symmetric system. In general, iterative method is used as the solver. Convergence of iterative method in an interface problem is improved by increasing an accuracy of a solution of an iterative method of a subdomain problem. However, it is difficult to improve the convergence by using a small convergence criterion in the subdomain problem. Therefore, authors propose a method to introduce double-double precision into the interface problem and the subdomain problem. This proposed method improves the convergence of the interface problem. In this paper, first, we describe proposed method. Second, we confirm validity of the method by using Team Workshop Problem 7, standard model for eddy current analysis. Finally, we show effectiveness of the method from two numerical results.

Keywords

Double-double precision, domain decomposition method, eddy current analysis, parallel finite element method.

Cite This Article

Takehito, M., Amane, T. (2018). Eddy Current Analyses by Domain Decomposition Method Using Double-Double Precision. CMES-Computer Modeling in Engineering & Sciences, 116(3), 349–363.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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