| 散射问题中复线性系统的扰动预条件技术 |
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| 引用本文： | 任志刚,黄廷祝,李良. 散射问题中复线性系统的扰动预条件技术[J]. 工程数学学报, 2012, 29(3): 430-436 |
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| 作者姓名： | 任志刚 黄廷祝 李良 |
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| 作者单位： | 1. 西南电子技术研究所,成都 610036;电子科技大学数学科学学院,成都 610054
2. 电子科技大学数学科学学院,成都,610054 |
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| 基金项目： | The National Natural Science Foundation of China(60973015;61170311);the Specialized Research Fund for the Doctoral Program in China Universities(20110185110020);the Science & Technology Research Project of Sichuan Province(2009SPT-1;12ZC1802) |
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| 摘 要： | 利用稀疏策略可以控制不完全分解因子的稀疏度,对角扰动技术则通过对原系数矩阵的对角元的轻微扰动,提高不完全分解预条件方法的效率.本文结合稀疏策略和对角扰动技术的修正的不完全LLT分解预条件技术,用来加速共轭垂直共轭梯度法(COCG)求解离散散射问题得到的大型、稀疏的复对称线性系统的求解速率,数值试验验证了基于扰动的不完全分解预条件方法,对迭代求解散射问题有着很好的提速效果.
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| 关 键 词： | 散射问题 有限元方法 预条件技术 共轭垂直共轭梯度法 |
A Perturbed Preconditioning Technique for Solving Complex Linear Systems Arising from Scattering Problems |
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| REN Zhi-gang , HUANG Ting-zhu , LI Liang. A Perturbed Preconditioning Technique for Solving Complex Linear Systems Arising from Scattering Problems[J]. Chinese Journal of Engineering Mathematics, 2012, 29(3): 430-436 |
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| Authors: | REN Zhi-gang HUANG Ting-zhu LI Liang |
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| Affiliation: | 1-Southwest China Institute of Electronic Technology,Chengdu 610036;2-School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu 610054) |
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| Abstract: | Sparsity strategy can ensure the sparsity of the incomplete factorization factor,and the diagonal perturbation method can enhance the effectiveness of the incomplete factorization.These techniques are utilized with a modified incomplete LL T scheme to accelerate the iterative solution of the linear systems arising from the discretization of scattering problems by the edge finite element method.The effectivity of the proposed preconditioning technique will be verified by numerical tests. |
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| Keywords: | scattering problems finite element method preconditioning technique conjugate orthogonal conjugate gradient |
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