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Complex Variable Meshless Manifold Method for Elastic Dynamic Problems

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  • Hongfen Gao
  • Gaofeng Wei

Abstract

Combining the finite covering technical and complex variable moving least square, the complex variable meshless manifold method can handle the discontinuous problem effectively. In this paper, the complex variable meshless method is applied to solve the problem of elastic dynamics, the complex variable meshless manifold method for dynamics is established, and the corresponding formula is derived. The numerical example shows that the numerical solutions are in good agreement with the analytical solution. The CVMMM for elastic dynamics and the discrete forms are correct and feasible. Compared with the traditional meshless manifold method, the CVMMM has higher accuracy in the same distribution of nodes.

Suggested Citation

  • Hongfen Gao & Gaofeng Wei, 2016. "Complex Variable Meshless Manifold Method for Elastic Dynamic Problems," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-8, March.
    • Handle: RePEc:hin:jnlmpe:5803457
    DOI: 10.1155/2016/5803457
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