一类椭圆型变分不等式离散问题的迭代算法  

An Iterative Method for the Discrete Problems of a Class of Elliptical Variational Inequalities

作　　者：郑铁生[1] 李立[1] 许庆余[1] 

机构地区：[1]西安交通大学工程力学系

出　　处：《应用数学和力学》1995年第4期329-335,共7页Applied Mathematics and Mechanics

基　　金：国家自然科学基金; 8.5重点课题资助

摘　　要：根据一类椭圆型变分不等式离散问题所具有的非线性特征，提出了一种简明快速的迭代算法，该方法在解决障碍问题及流体润滑油膜破裂自然边值问题等工程应用问题时具有较高的效率。Based on the nonlinear characters of the discrete problems of some elliptical variational inequalities,this paper presents a numerical iterative method,the schemes of which are pithy and converge rapidly.The new method possesses a high efficiency in solving such applied engineering problems as obstacle problems and free boundary problems arising in fluid lubrications.

关 键 词：变分不等式 流体润滑 迭代法 离散问题 椭圆型 

分 类 号：O176.3[理学—数学]