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Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (7): 765-772.

• 论文 • 上一篇    下一篇

UZAWA TYPE ALGORITHM BASED ON DUAL MIXED VARIATIONAL FORMULATION

王光辉1, 王烈衡2   

  1. 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 Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P R China
  • 收稿日期:2001-08-16 修回日期:2003-03-18 出版日期:2002-07-18 发布日期:2002-07-18
  • 基金资助:
    the National Natural Science Foundation of China(19672064)

UZAWA TYPE ALGORITHM BASED ON DUAL MIXED VARIATIONAL FORMULATION

WANG Guang-hui1, WANG Lie-heng2   

  1. 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 Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, Beijing 100080, P R China
  • Received:2001-08-16 Revised:2003-03-18 Online:2002-07-18 Published:2002-07-18
  • Supported by:
    the National Natural Science Foundation of China(19672064)

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摘要： 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.

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.

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