| 求解二次Lagrangian有限元方程的瀑布型多重网格法 |
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| 引用本文： | 李明,李郴良.求解二次Lagrangian有限元方程的瀑布型多重网格法[J].山西大学学报(自然科学版),2011,34(2):185-189. |
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| 作者姓名： | 李明 李郴良 |
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| 作者单位： | 1. 红河学院,数学学院,云南,蒙自,661100
2. 桂林电子科技大学,数学与计算科学学院,广西,桂林,541004 |
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| 基金项目： | 广西科学研究与技术开发计划项目(桂科基0731018); 红河学院硕博项目(XJ1S0925) |
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| 摘 要： | 针对二次Lagrangian有限元方程,通过将新外推公式和二次插值技巧相结合,为细层提供好的初始值,设计了新的瀑布型多重网格法.数值实验表明,与基于部分几何信息的代数多重网格法相比,新算法有更好的精度和效率.
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| 关 键 词： | 二次Lagrangian有限元 新外推公式 二次插值 瀑布型多重网格法 |
A New Cascadic multigrid Method for A Quadratic Lagrangian Finite Element Equation |
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| LI Ming,LI Chen-liang.A New Cascadic multigrid Method for A Quadratic Lagrangian Finite Element Equation[J].Journal of Shanxi University (Natural Science Edition),2011,34(2):185-189. |
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| Authors: | LI Ming LI Chen-liang |
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| Institution: | LI Ming1,LI Chen-liang2(1.Department of Mathematics,Honghe University,Mengzi 661100,China,2.School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,China) |
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| Abstract: | A new cascadic multigrid method is introduced for a quadratic Lagrangian finite element equation,based on the better initial values on refined grid provided by combining the new extrapolation formula and quadratic interpolation.The numerical experiment results show that the method is of higher accuracy and efficiency than the algebraic multigrid based on geometry information. |
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| Keywords: | quadratic Lagrangian finite element new extrapolation formula quadratic interpolation cascadic multigrid method |
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