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[1] Zhu Faxi, Yu Haitao, Hu Minqiang,. Preconditioned BiCGSTAB algorithm and its applicationsto eddy current solutions [J]. Journal of Southeast University (English Edition), 2009, 25 (3): 362-366. [doi:10.3969/j.issn.1003-7985.2009.03.016]
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Preconditioned BiCGSTAB algorithm and its applicationsto eddy current solutions()
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Journal of Southeast University (English Edition)[ISSN:1003-7985/CN:32-1325/N]

Volumn:
25
Issue:
2009 3
Page:
362-366
Research Field:
Electrical Engineering
Publishing date:
2009-09-30

Info

Title:
Preconditioned BiCGSTAB algorithm and its applicationsto eddy current solutions
Author(s):
Zhu Faxi Yu Haitao Hu Minqiang
School of Electrical Engineering, Southeast University, Nanjing 210096, China
Keywords:
preconditioned bi-conjugate gradient stabilized(BiCGSTAB)algorithm incomplete LU decomposition orthogonal list finite element method(FEM) eddy current
PACS:
TM154
DOI:
10.3969/j.issn.1003-7985.2009.03.016
Abstract:
A new favorable iterative algorithm named as PBiCGSTAB(preconditioned bi-conjugate gradient stabilized)algorithm is presented for solving large sparse complex systems.Based on the orthogonal list, the special technique of only storing non-zero elements is carried out.The incomplete LU factorization without fill-ins is adopted to reduce the condition number of the coefficient matrix.The BiCGSTAB algorithm is extended from the real system to the complex system and it is used to solve the preconditioned complex linear equations.The locked-rotor state of a single-sided linear induction machine is simulated by the software programmed with the finite element method and the PBiCGSTAB algorithm.Then the results are compared with those from the commercial software ANSYS, showing the validation of the proposed software.The iterative steps required for the proposed algorithm are reduced to about one-third, when compared to the BiCG method, therefore the algorithm is fast.

References:

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Memo

Memo:
Biographies: Zhu Faxi(1984—), male, graduate;Yu Haitao(corresponding author), male, doctor, professor, htyu@seu.edu.cn.
Citation: Zhu Faxi, Yu Haitao, Hu Minqiang.Preconditioned BiCGSTAB algorithm and its applications to eddy current solutions[J].Journal of Southeast University(English Edition), 2009, 25(3):362-366.
Last Update: 2009-09-20