| 以Richardson迭代为光滑化的非对称不定椭圆边值问题的多重网格法的收敛性 |
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| 引用本文： | 罗志强. 以Richardson迭代为光滑化的非对称不定椭圆边值问题的多重网格法的收敛性[J]. 四川师范大学学报(自然科学版), 2007, 30(4): 418-421 |
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| 作者姓名： | 罗志强 |
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| 作者单位： | 嘉兴学院,教学与信息科学学院,浙江,嘉兴,314001 |
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| 摘 要： | 在两个基本算子假设下,以Richardson为光滑迭代,通过对算子在能量范数下作巧妙地估计,证明了以Richardson迭代为光滑化在无椭圆正则性假设前提下的非对称不定椭圆边值问题的多重网格方法是收敛的.
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| 关 键 词： | 非对称不定 椭圆边值问题 Richardson迭代 多重网格法 |
| 文章编号： | 1001-8395（2007）04-0418-04 |
| 收稿时间： | 2005-01-11 |
| 修稿时间： | 2005-01-11 |
The Convergence of the Multigrid Method Using the Richardson Iteration as a Smoothing Method for Nonsymmetric and Indefinite Elliptic Boundary Value Problems |
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| LUO Zhi-qiang. The Convergence of the Multigrid Method Using the Richardson Iteration as a Smoothing Method for Nonsymmetric and Indefinite Elliptic Boundary Value Problems[J]. Journal of Sichuan Normal University(Natural Science), 2007, 30(4): 418-421 |
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| Authors: | LUO Zhi-qiang |
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| Affiliation: | School of Mathematics and Information Science, Jiaxing College, Jiaxing 314001, Zhejiang |
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| Abstract: | In this paper, the operator is evaluated with energy norm for the non-symmetric and indefinite elliptic problem without regularity assumption, then the convergence of muhigrid algorithm is proved based on the Richardson iteration and two base assumptions. |
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| Keywords: | Non-symmetric and indefinite Elliptic problem Richardson iteration Multigrid method |
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