High-speed method for analyzing shielding current density in HTS with cracks: implementation of <i>H</i>-matrix method to GMRES
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- Takayama Teruou
- Faculty of Engineering, Yamagata University
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- Kamitani Atsushi
- Graduate School of Science and Engineering, Yamagata University
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- Saitoh Ayumu
- Graduate School of Science and Engineering, Yamagata University
Abstract
<p>A high-speed analysis of a shielding current density in a high-temperature superconducting film containing cracks has been proposed. To this end, a numerical code has been developed for analyzing the shielding current density in an HTS film. In the code, the GMRES(k) with the H-matrix method has been implemented to solve a linear-system obtained by discretizing an initial-boundary-value problem of a nonlinear integro-differential equation with respect to time and space. The results of the computations show that, if the Jacobi scaling is not applied to the linear-system, the Newton method does not converge at a certain time step. Therefore, the Jacobi scaling is an necessary tool for analyzing the shielding current density. Furthermore, by using the GMRES(k) method with the H-matrix method as a linear-system solver, the time evolution of the shielding current can be analyzed with high speed. In conclusion, the speed of the GMRES(k) with H-matrix method is about 221.3 times as fast as that of the LU decomposition.</p>
Journal
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- Journal of Advanced Simulation in Science and Engineering
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Journal of Advanced Simulation in Science and Engineering 3 (2), 173-187, 2016
Japan Society for Simulation Technology
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Keywords
Details 詳細情報について
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- CRID
- 1390001205755228032
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- NII Article ID
- 130005562273
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- ISSN
- 21885303
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed