| 预处理的BiCGSTAB算法及其在涡流求解中的应用(英文) |
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| 引用本文： | 朱发熙,余海涛,胡敏强.预处理的BiCGSTAB算法及其在涡流求解中的应用(英文)[J].东南大学学报,2009,25(3):362-366. |
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| 作者姓名： | 朱发熙 余海涛 胡敏强 |
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| 作者单位： | 东南大学电气工程学院,南京,210096 |
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| 摘 要： | 针对涡流场有限元分析形成的大型稀疏复线性方程组,提出了预处理稳定双共轭梯度法(PBiCGSTAB).利用二维正交链表结构实现系数矩阵的全稀疏存储,采用无填充的不完全LU分解对方程组进行预处理以降低系数矩阵的条件数.将稳定双共轭梯度法从实数领域扩展到复数领域,并利用它求解预优过的复线性方程组.基于有限元法和PBiCGSTAB算法编制直线电机性能分析软件,并对一电机堵转的情况进行仿真,将计算结果和ANSYS计算出的结果进行了比较,证明了该软件的正确性.并且通过求解器比较发现,在相同精度条件下PBiCGSTAB算法只需要BiCG算法三分之一的迭代步数,证明了该算法的快速性.
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| 关 键 词： | 预处理稳定双共轭梯度法 不完全LU分解 正交链袁 有限元法 涡流 |
Preconditioned BiCGSTAB algorithm and its applications to eddy current solutions |
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| 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. |
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| Authors: | Zhu Faxi Yu Haitao Hu Minqiang |
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| Institution: | Zhu Faxi Yu Haitao Hu Minqiang(School of Electrical Engineering,Southeast University,Nanjing 210096,China) |
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| 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 comple... |
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| Keywords: | preconditioned bi-conjugate gradient stabilized (BiCGSTAB) algorithm incomplete LU decomposition orthogonal list finite element method(FEM) eddy current |
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