重庆工商大学学报（自然科学版）

引用本文:	严月月，钟艳丽，郭楠馨.求解双层弹性膜单侧接触问题的Uzawa算法(J/M/D/N,J:杂志，M：书，D：论文，N：报纸).期刊名称,2018，35（6）：75-78
	CHEN X. Adap tive slidingmode contr ol for discrete2ti me multi2inputmulti2 out put systems[ J ]. Aut omatica, 2006, 42(6): 4272-435

【打印本页】【下载PDF全文】【查看/发表评论】【EndNote】【RefMan】【BibTex】

←前一篇|后一篇→

过刊浏览高级检索

本文已被：浏览 1041次下载 178次	码上扫一扫！
分享到：微信更多字体:加大+\|默认\|缩小-
求解双层弹性膜单侧接触问题的Uzawa算法
严月月，钟艳丽，郭楠馨¹
重庆师范大学数学科学学院，重庆 401331

摘要:

双层弹性膜问题在力学方面有着很重要的作用，而很难用解析方法直接得到它的解；在变分法和不动点理论的基础上提出了求解问题的Uzawa算法，给出了算法的具体过程；利用双线性形式的一些基本性质和算法特点可证明算法的收敛性；利用算法，在算例中对双层弹性膜问题的数值结果和精确解进行比较，问题数值解及其自由边界与解析解能较好地吻合；理论分析和数值结果都表明了所给算法的有效性。

关键词: 弹性膜单侧接触变分法不动点 Uzawa算法

DOI：

分类号:

基金项目:

A Uzawa Algorithm for Solving the Unilateral Contact between Two Elastic Membranes

YAN Yue yue ，ZHONG Yan li ，GUO Nan xin

Abstract:

The problem of the unilateral contact between two membranes plays an important role in mechanics，but it is difficult to get its solution directly by analytic method On the basis of variational method and fixed point theory，the Uzawa algorithm for solving this problem is proposed，and the process of the algorithm is given in detail The convergence of the algorithm can be proved by using some basic properties of bilinear form and algorithm characteristics A numerical example is given to compare with the exact solution，and numerical solution of two elastic membranesThe numerical solution and its free boundary are in a good agreement with the analytical solution Both theoretical analysis and numerical results show the effectiveness of the proposed algorithm

Key words: elastic membranes unilateral contact variational method fixed point Uzawa algorithm