## 留言板

 引用本文: 宣兆成, 李兴斯. 单侧接触问题的拟有效集方法[J]. 应用数学和力学, 2002, 23(8): 811-818.
XUAN Zhao-cheng, LI Xing-si. Unilateral Contact Problems Using Quasi-Active Set Strategy[J]. Applied Mathematics and Mechanics, 2002, 23(8): 811-818.
 Citation: XUAN Zhao-cheng, LI Xing-si. Unilateral Contact Problems Using Quasi-Active Set Strategy[J]. Applied Mathematics and Mechanics, 2002, 23(8): 811-818.

## 单侧接触问题的拟有效集方法

###### 作者简介:宣兆成(1966- ),男,黑龙江人,博士(E-mail:smaxzc@nus.edu.sg).
• 中图分类号: O175.2

## Unilateral Contact Problems Using Quasi-Active Set Strategy

• 摘要: 单侧接触问题可以模型化为一个带不等式约束的数学规划问题。针对不等式约束问题求解的困难,提出了一个拟有效集方法。在每次迭代中,先利用上次迭代得到的解将问题转化为一个无接触问题,然后以其解作为当前迭代的初始解,且在每次迭代里可以同时更换一组接触点对,而不是象Lemke方法那样每次迭代仅更换一个接触点对。因而,该算法极大地提高了求解效率,算例表明了该算法的高效性和可靠性。
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##### 出版历程
• 收稿日期:  2000-03-09
• 修回日期:  2002-04-01
• 刊出日期:  2002-08-15

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