| 求解半线性椭圆问题的牛顿-瀑布型两层网格法 |
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| 引用本文： | 李明,李郴良,崔向照.求解半线性椭圆问题的牛顿-瀑布型两层网格法[J].数值计算与计算机应用,2011,32(4):315-320. |
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| 作者姓名： | 李明 李郴良 崔向照 |
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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： | 国家自然科学基金，云南省自然科学基金，广西科学研究与技术开发计划项目，红河学院硕博项目 |
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| 摘 要： | 选取一对合适的步长使用中心差分格式离散半线性椭圆问题形成粗网格和细网格，使用三次样条插值算子将粗网格上高精度近似解插值到细网格为其提供初始值，结合牛顿法提出了牛顿-瀑布型两层网格法．数值实验表明该算法具有稳健性强、计算效率高的优点．
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| 关 键 词： | 半线性椭圆问题 三次样条插值 牛顿-瀑布型两层网格法 |
A NEWTON-CASCADIC TWO-LEVEL METHOD FOR SEMILINEAR ELLIPTIC PROBLEMS |
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| Li Ming,Li Chenliang,Cui Xiangzhao.A NEWTON-CASCADIC TWO-LEVEL METHOD FOR SEMILINEAR ELLIPTIC PROBLEMS[J].Journal on Numerical Methods and Computer Applications,2011,32(4):315-320. |
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| Authors: | Li Ming Li Chenliang Cui Xiangzhao |
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| Affiliation: | Li Ming (Department of Mathematics,Honghe University,Mengzi 661100,Yunnan,China) Li Chenliang (School of Mathematics and Computational Science,Guilin University of Electronic Technology,Guilin 541004,Guangxi,China) Cui Xiangzhao (Department of Mathematics,China) |
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| Abstract: | Coarse grid and fine grid are given by using a pair of step length discrete semilinear elliptic problems basin on central difference format.A initial value on fine grid is given by using cube spline interpolation from the high precision approximate value on coarse grid.A newton-cascadic two-level method is designed by combining newton method.The numerical experiment results show that the new method is more efficient and robust. |
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| Keywords: | semilinear elliptic problems cube spline interpolation newton-cascadic two-level method |
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