| 电磁场分析中大型稀疏方程组迭代解法的改进 |
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| 引用本文： | 张秀敏,苑津莎,徐永生.电磁场分析中大型稀疏方程组迭代解法的改进[J].华北电力大学学报,2003,30(3):34-38. |
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| 作者姓名： | 张秀敏 苑津莎 徐永生 |
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| 作者单位： | 1. 华北电力大学,电力工程系,河北,保定,071003
2. 华北电力大学,电子与通信工程系,河北,保定,071003 |
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| 摘 要： | 针对电磁场数值分析中的大型稀疏对称线性方程组,尤其是求解棱边有限元法生成的奇异方程组,通过时谐涡流场实例计算,比较了目前文献中出现的各种预处理共轭梯度算法,提出了一种改进的预优处理的不完全乔列斯基分解共轭梯度算法,并得出了分别适用于节点有限元与棱边有限元离散方程组的最优预处理共轭梯度算法。最后对非对称方程组的求解进行了讨论。
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| 关 键 词： | 预处理共轭梯度法 涡流场 节点有限元 棱边有限元 |
| 文章编号： | 1007-2691(2003)03-0034-05 |
| 修稿时间： | 2002年9月9日 |
Improvements on iterative method for solving large-scale sparse equations of electromagnetic field |
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| ZHANG Xiu-min,YUAN Jin-sha,XU Yong-sheng.Improvements on iterative method for solving large-scale sparse equations of electromagnetic field[J].Journal of North China Electric Power University,2003,30(3):34-38. |
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| Authors: | ZHANG Xiu-min YUAN Jin-sha XU Yong-sheng |
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| Abstract: | Considering large sparse symmetric linear equations in finite element analysis of electromagnetic field problems, especially for solving singular equations brought by edge finite element method, different optimal Preconditioned Conjugate Gradient (PCG) methods proposed in references are compared. The improved Preconditioned Incomplete Choleskey Conjugate Gradient (PICCG) algorithm is presented in this paper. PCG methods for solving finite element equations by nodal elements and edge elements are given respectively through the computation of time harmonic eddy current field. The method for solving asymmetric equations is discussed. |
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| Keywords: | PCG method eddy current field nodal element edge element |
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