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A sub-domain RPIM with condensation of degree of freedom

机译:具有自由度缩合的子域RPIM

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摘要

A sub-domain radial point interpolation method is proposed to simulate problem of linear elasticity. In present method, the problem domain is firstly divided into sub-domains with arbitrary shape, and then, nodes without connectivity are imbedded in every sub-domain. The local variational weak formulation is established over sub-domains, in which nodes within the sub-domain are used for approximation. Local discrete equations of weak form are simplified by condensation of degree of freedom, which transfers equations of inner nodes to equations of boundary nodes based on sub-domains. Compatibility of displacement in adjacent sub-domains and convergence of present method are discussed. And displacements and its gradient are continuous in the entire problem domain. In contrast to an early formulation of RPIM based on Galerkin weak form, which is proposed by Liu and coworkers, certain modifications are presented to increase its computational efficiency in this paper. Numerical examples show that computational efficiency of present method is higher than that of standard RPIM based on Galerkin weak form, and good accuracy, high convergence can also be obtained.
机译:为了模拟线弹性问题,提出了一种子域径向点插值方法。在本方法中,首先将问题域划分为任意形状的子域,然后将没有连通性的节点嵌入每个子域中。在子域上建立局部变分弱公式,其中子域内的节点用于逼近。通过简化自由度,简化了弱形式的局部离散方程,将内部节点的方程式转换为基于子域的边界节点的方程式。讨论了相邻子域中位移的相容性以及本方法的收敛性。位移及其梯度在整个问题域中都是连续的。与刘和同事提出的基于Galerkin弱形式的RPIM的早期公式相反,本文提出了某些修改以提高其计算效率。数值算例表明,该方法的计算效率比基于Galerkin弱形式的标准RPIM的计算效率高,并且精度高,收敛性高。

著录项

  • 来源
    《Engineering analysis with boundary elements》 |2013年第9期|1161-1168|共8页
  • 作者单位

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China,State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 10081, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China;

    State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, PR China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Galerkin weak form; RPIM; Condensation of degree of freedom; Sub-domain; Computational efficiency;

    机译:Galerkin弱形式;RPIM;自由度的凝聚;子域;计算效率;

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