期刊
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
卷 27, 期 2, 页码 303-316出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s10255-011-0063-0
关键词
Stokes problem; nonlinear slip boundary; variational inequality; Uzawa iteration algorithm
资金
- National Natural Science Foundation of China [10571142, 10701061, 10901122, 10971165, 11001205]
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.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据