流体力学中的临界变分现象及其消除方法  

An overview of variational crises and its recent developments

作　　者：何吉欢[1,2] 

机构地区：[1]上海大学 [2]上海市应用数学和力学研究所

出　　处：《上海理工大学学报》1999年第1期29-35,共7页Journal of University of Shanghai For Science and Technology

摘　　要：摘要通过一个具体例子，阐述了流体力学中存在的各种临界变分现象，并指出临界变分是拉氏乘子的固有特性．详细综述了消除临界变分的各种方法：刘高联预处理拉氏乘子法、钱伟长高阶拉氏乘子法及作者提出的半反推法。An overview of various variational crises and their removal in the variationaltheory of fluid mechanics is presented. The variational crises (such as, some of the Lagrangemultipliers vanish completely) are of its inherent character of Lagrange multiplier method.Various methods of removal of crises are illustrated, they are mainly: (1) preconditioned Lagrangemultiplier method proposed by Liu; (2) higher order Lagrange multiplier method; (3) thesemi - inverse method.

关 键 词：变分原理 拉氏乘子法 临界变分 流体力学 

分 类 号：O302[理学—力学] O35