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

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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)

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.

2010 MSC Number: 

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