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Boundary element method for buckling eigenvalue problem and its convergence analysis

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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.

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Authors and Affiliations

  1. Department of Mathematics, Soochou University, 215006, Suzhou, P R China

    Ding Rui Associate Professor, Doctor

  2. Department of Mathematics, Lanzhou University, 730000, Lanzhou, P R China

    Ding Fang-yun

  3. Department of Material Science, Xiamen University, 361005, Xiamen, P R China

    Zhang Ying

Authors
  1. Ding Rui Associate Professor, Doctor
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  2. Ding Fang-yun
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  3. Zhang Ying
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Additional information

Communicated by Wang Yin-bang

Foundation item: the National Natural Science Foundation Pre-research Project (T4107015)

Biography: Ding Rui (1969-)

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Rui, D., Fang-yun, D. & Ying, Z. Boundary element method for buckling eigenvalue problem and its convergence analysis. Appl Math Mech 23, 155–168 (2002). https://doi.org/10.1007/BF02436557

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  • DOI: https://doi.org/10.1007/BF02436557

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