| 含非线性源项的变分不等式的加性区域分解法 |
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| 引用本文： | 陈高洁.含非线性源项的变分不等式的加性区域分解法[J].应用数学,2011,24(2). |
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| 作者姓名： | 陈高洁 |
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| 作者单位： | 湖南大学数学与计量经济学院,湖南长沙,410082 |
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| 基金项目： | Supported by the National Natural Science Foundation of China (50979072) |
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| 摘 要： | 本文研究一类求解非线性变分不等式的加性区域分解法,其中区域分解为非重叠子区域,在界面上采用Robin条件,得到了算法的收敛性,而且数值算例表明,选取适合的Robin参数可加快算法的收敛速度.
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| 关 键 词： | 区域分解法 变分不等式 非线性源项 Robin条件 |
Additive Domain Decomposition Methods for Variational Inequalities with Nonlinear Source Terms |
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| CHEN Gaojie.Additive Domain Decomposition Methods for Variational Inequalities with Nonlinear Source Terms[J].Mathematica Applicata,2011,24(2). |
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| Authors: | CHEN Gaojie |
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| Affiliation: | CHEN Gaojie (College of Mathematics and Econometrics,Hunan University,Changsha 410082,China) |
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| Abstract: | In this paper,a kind of parallel domain decomposition iterative procedures is proposed to solve the problem of variational inequalities with nonlinear source terms.The Robin conditions are used to transform the information of the unknown values at the common interface between adjacent nonoverlapping subdomains.Convergence is established for the proposed methods.Numerical results show that the convergence rate can be speeded up by choosing the parameters of the Robin conditions properly. |
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| Keywords: | Domain decomposition Variational inequality Nonlinear source term Robin condition |
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