| 子区域不精确求解的Dirichlet－Neumann迭代法 |
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| 引用本文： | 陈九华.子区域不精确求解的Dirichlet－Neumann迭代法[J].复旦学报(自然科学版),1994(6). |
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| 作者姓名： | 陈九华 |
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| 基金项目： | 国家自然科学基金,国家基础性研究重大关键项目 |
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| 摘 要： | 应用Ｄ－Ｎ迭代法求解线性椭圆边值问题时，每一步要求解一个Ｄｉｒｉｃｈｌｅｔ问题和一个混合问题．考虑不精确求解混合问题，提出一算法，在合理的假设条件下，得到不依赖于网格参数的收敛因子．
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| 关 键 词： | Dirchlet－Neumann迭代 区域分裂 收敛 椭圆型方程 |
The Dirichlet-Neumann iterative method withinexact solver on one subdomain |
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| Chen Jiuhua.The Dirichlet-Neumann iterative method withinexact solver on one subdomain[J].Journal of Fudan University(Natural Science),1994(6). |
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| Authors: | Chen Jiuhua |
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| Institution: | Department of Mathematics |
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| Abstract: | When Dirichlet-Neumann iterative method is used for solving linearelliptic boundary value problem,one Dirichlet problem solver and one mixed problem solver are needed in each step.In this paper an algorithm with inexact mixedproblem solver is proposed,under rational hypothesis,a convergence factor whichis independent of mesh size is obtained. |
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| Keywords: | irichlet-Neumann iteration domain decomposition convergence elliptic partial differential equation |
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