Song Shun-cheng. The Boundary Expanding-Contracting Method[J]. Applied Mathematics and Mechanics, 1989, 10(10): 921-928.
Citation: Song Shun-cheng. The Boundary Expanding-Contracting Method[J]. Applied Mathematics and Mechanics, 1989, 10(10): 921-928.

The Boundary Expanding-Contracting Method

  • Received Date: 1989-01-20
  • Publish Date: 1989-10-15
  • The boundary element method(KEM) which a used to solve the elastic problems has more advantages than other numerical methods.Especially,it can resolve rapidly varying internal stress and strain fields more accurately.However,it is of en fails in the region near the boundary because of the singularity of the solutions.Though we can increase the boundary meshes more and more,the solutions of stress on the boundary can't be given directly;which has obstructed the applications of the HEM to some extent.In this paper we proposed the boudary expanding-contracting principle and the boundary expanding-contracting method(BECM) based on the principle.With this method,not only the solutions in the region near or on the boundary can be obtained directly,but the iterative processes can also he used conveniently to improve the accuracy of the solutions.
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    Brebbia,C.A.and S.Walker,Boundary Techniques in Engineering,Newnes-Bullerwoth,London(1980).
    [2]
    钱伟长、叶开沅,《弹性力学》,科学出版社(1956).
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    米赫林,C.T.,《积分方程及其应用》,商务印书馆(1955).
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