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- Title
具有滑动边界条件 Stokes 问题的 自适应 Uzawa 块松弛算法.
- Authors
张茂林; 冉静; 张守贵
- Abstract
A self-adaptive Uzawa block relaxation method was designed for Stokes problems under nonlinear slip boundary conditions. For the variational formulation of the problem, an auxiliary unknown was introduced to transform the problem into a saddle-point one based on an augmented Lagrangian function, which can be solved with the Uzawa block relaxation method. To improve the performance of the method, a self?adaptive rule was proposed with the proper penalty parameter chosen automatically. The main advantage of this method is that each iterative step consists of a linear problem while the auxiliary unknown can be computed explicitly. The convergence of the algorithm was analyzed. The numerical results show the feasibility and effectiveness of the proposed method.
- Subjects
LAGRANGIAN functions; NONLINEAR equations; RELAXATION methods (Mathematics); ALGORITHMS; SELF
- Publication
Applied Mathematics & Mechanics (1000-0887), 2021, Vol 42, Issue 2, p188
- ISSN
1000-0887
- Publication type
Article
- DOI
10.21656/1000-0887.410170