屈曲特征值问题的边界元方法及收敛性分析  

Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis

作　　者：丁睿[1] 丁方允[2] 张颖[3] 

机构地区：[1]苏州大学数学系,苏州215006 [2]兰州大学数学系,兰州730000 [3]厦门大学材料科学系,厦门361005

出　　处：《应用数学和力学》2002年第2期144-156,共13页Applied Mathematics and Mechanics

基　　金：国家自然科学基金预研项目资助 (T4 10 70 15 )

摘　　要：讨论了屈曲特征值问题的定解条件 ,建立了相应的具约束的积分方程组及带Lagrange乘子的边界变分方程 。The conditions for determining solution of buckling eigenvalue problem are discussed. The corresponding system of integral equations with constraint conditions and boundary variational equations with Lagrange multiplier are established. The theorems on the existence and uniqueness of the solution for these problems are given. The corresponding boundary element method is constructed and the error estimation for the approximation solution is obtained. Finally the numerical example is given.

关 键 词：LAGRANGE乘子法 边界元方法 SOBOLEV空间 屈曲特征值问题 数值解 收敛性 

分 类 号：O343[理学—固体力学] O175.8[理学—力学]