| 求解外延膜多尺度应变模型的代数多重网格法 |
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| 引用本文： | 肖映雄,张平,舒适. 求解外延膜多尺度应变模型的代数多重网格法[J]. 湘潭大学自然科学学报, 2003, 25(4): 75-82 |
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| 作者姓名： | 肖映雄 张平 舒适 |
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| 作者单位： | 1. 湘潭大学基础力学与材料工程研究所,411105
2. 湘潭大学计算与应用数学研究所,411105 |
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| 基金项目： | The work was supported in part by Natural Science Foundation of China(10372087)，by Natural Science Foundation of China and Associated Foundation of China Academy of Engineering Physics(10376031) |
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| 摘 要： | 对于外延膜多尺度应变模型的求解，设计了一类代数多重网格方法，进而以该代数多重网格为预条件子，结合其轭梯度法，得到一种预处理技术。数值实验结果表明，我们构造的代数多重网格算法是健壮的，具有很好的计算效率。
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| 关 键 词： | 外延膜 多尺度弹性模型 代数多重网格 预处理技术 |
Algebraic Multigrid Method for a Multiscale Elastic Model of Thin Epitaxial Films |
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| XIAO Ying -xiong,ZHANG Ping,SHU Shi. Algebraic Multigrid Method for a Multiscale Elastic Model of Thin Epitaxial Films[J]. Natural Science Journal of Xiangtan University, 2003, 25(4): 75-82 |
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| Authors: | XIAO Ying -xiong ZHANG Ping SHU Shi |
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| Abstract: | In this paper we construct a class of algebraic multigrid(AMG) methods applied to the multiscale strain model of thin epitaxial films since the solution of strain equations has high computational complexity. Numerical results show that the constructed AMC methods is robust and efficient. |
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| Keywords: | Epitaxial Films Multiscale Elastic Model AMC Method PCG Method |
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