Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis

DING Rui; DING Fang-yun; ZHANG Ying

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DING Rui, DING Fang-yun, ZHANG Ying. Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis[J]. Applied Mathematics and Mechanics, 2002, 23(2): 144-156.

Citation:

DING Rui, DING Fang-yun, ZHANG Ying. Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis[J]. Applied Mathematics and Mechanics, 2002, 23(2): 144-156.

Citation:

DING Rui, DING Fang-yun, ZHANG Ying. Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis[J]. Applied Mathematics and Mechanics, 2002, 23(2): 144-156.

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Boundary Element Method for Buckling Eigenvalue Problem and Its Convergence Analysis

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 361005, P R China

Received Date: 2000-09-29
Rev Recd Date: 2001-09-11
Publish Date: 2002-02-15

Abstract

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 give.
- Lagrange multiplier,
- BEM,
- Sobolev space

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References(7)

References

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