On a finite element approximation of the Stokes equations under a slip boundary condition of the friction type

被引：0
作者：
Takahito Kashiwabara
机构：
[1] The University of Tokyo,Graduate School of Mathematical Sciences
来源：
Japan Journal of Industrial and Applied Mathematics | 2013年 / 30卷
关键词：
Finite element method; Stokes equations; Boundary conditions of friction type; Variational inequality; Uzawa algorithm; 65N30; 35Q30; 35J87;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A finite element approximation of the Stokes equations under a certain nonlinear boundary condition, namely, the slip boundary condition of friction type, is considered. We propose an approximate problem formulated by a variational inequality, prove an existence and uniqueness result, present an error estimate, and discuss a numerical realization using an iterative Uzawa-type method. Several numerical examples are provided to support our theoretical results.
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页码：227 / 261
页数：34
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