基于对偶混合变分形式的Uzawa型算法

基金项目: 国家自然科学基金资助项目(19672064)

Uzawa Type Algorithm Based on Dual Mixed Variational Formulation

1.
State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100080, P R China;
2.
State Key Laboratory of Scientific/Engineering Computing, Institute of Computational Mathem atics a nd Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P R China

摘要: 基于弹性接触问题的三变量(应力,位移,接触边界位移)对偶混合变分形式,对混合有限元离散化的单边约束问题,提出了一种Uzawa型算法。首先证明了迭代算法的收敛性,然后用数值例子验证了迭代算法的有效性。
- 弹性接触问题 /
- 单边约束问题 /
- 对偶混合变分形式 /
- Raviart-Thomas元 /
- Uzawa算法
Abstract: Based on the dual mixed variational formulation with three variants (stress, displacement, displacement on contact boundary) and the unilateral beaming problem of finite element discretization, an Uzawa type iterative algorithm is presented. The convergence of this iterative algorithm is proved, and then the efficiency of the algorithm is tested by a numerical example.
- contact problem in elasticity /
- unilateral beaming problem /
- dual mixed variational formulation /
- Raviart-Thomas element /
- Uzawa algorithm

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