Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 155-168.

• 论文 • 上一篇    下一篇

BOUNDARY ELEMENT METHOD FOR BUCKLING EIGENVALUE PROBLEM AND ITS CONVERGENCE ANALYSIS

丁睿1, 丁方允2, 张颖3   

  1. 1. Department of Mathematics, Soochou University, Suzhou 215006, P R China;
    2. Department of Mathematics, Lanzhou University, Lanzhou 730000, P R China;
    3. Department of Material Science, Xiamen University, Xiamen University, Xiamen 361005, P R China
  • 收稿日期:2000-09-29 修回日期:2001-09-11 出版日期:2002-02-18 发布日期:2002-02-18
  • 基金资助:
    the National Natural Science Foundation Pre-research Project(T4107015)

BOUNDARY ELEMENT METHOD FOR BUCKLING EIGENVALUE PROBLEM AND ITS CONVERGENCE ANALYSIS

DING Rui1, DING Fang-yun2, ZHANG Ying3   

  1. 1. Department of Mathematics, Soochou University, Suzhou 215006, P R China;
    2. Department of Mathematics, Lanzhou University, Lanzhou 730000, P R China;
    3. Department of Material Science, Xiamen University, Xiamen University, Xiamen 361005, P R China
  • Received:2000-09-29 Revised:2001-09-11 Online:2002-02-18 Published:2002-02-18
  • Supported by:
    the National Natural Science Foundation Pre-research Project(T4107015)

PDF

346

摘要： 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.

Abstract: 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.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn