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Uzawa Iteration Method for Stokes Type Variational Inequality of the Second Kind
查看参考文献12篇
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文摘
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In this paper, the Uzawa iteration algorithm is applied to the Stokes problem with nonlinear slip boundary conditions whose variational formulation is the variational inequality of the second kind. Firstly, the multiplier in a convex set is introduced such that the variational inequality is equivalent to the variational identity. Moreover, the solution of the variational identity satisfies the saddle-point problem of the Lagrangian functional L Subsequently, the Uzawa algorithm is proposed to solve the solution of the saddle-point problem. We show the convergence of the algorithm and obtain the convergence rate. Finally, we give the numerical results to verify the feasibility of the Uzawa algorithm |
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来源
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Acta Mathematicae Applicatae Sinica-English Series
,2011,27(2):303-316 【核心库】
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DOI
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10.1007/s10255-011-0063-0
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关键词
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Stokes problem
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nonlinear slip boundary
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variational inequality
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Uzawa iteration algorithm
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地址
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1.
College of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035
2.
College of Science, Xi'an Jiaotong University, Xi'an, 710049
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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0168-9673 |
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学科
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数学 |
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基金
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国家自然科学基金
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文献收藏号
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CSCD:4152437
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