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首页> 外文会议>International Conference on Mechanical Engineering and Mechanics vol.1; 20051026-28; Nanjing(CN) >Division of Support in Meshless Method with Partition of Unity Quadrature
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Division of Support in Meshless Method with Partition of Unity Quadrature

机译：划分单位正交的无网格方法的支持划分

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摘要

The partition of unity quadrature (PUQ) was presented to compute quadrature by A. Carpinteri et al. In this method, a major problem occurred concerning the division of the shape of supports intersecting the boundary of the problem of domain into smaller standard quadrature cells. In this paper, two schemes for division of supports were proposed respectively for circular and square supports. In these schemes, the square support was divided into triangular cells and quadrilateral cells, and the circular support was divided into standard sectoring cells, triangular cells and quadrilateral cells. Some of the cells were optimized to be mapped onto standard shapes by applying the proposed rules. These schemes are applied to computation of the integration over the domain and evaluation of the discrete weak form of the equilibrium equations. Numerical results show that the precision and efficiency of PUQ with division schemes, compared with that of background cell quadature (BCQ), are improved.
机译：A. Carpinteri等人提出了单位求积（PUQ）的分区来计算求积。在这种方法中，出现了一个主要问题，涉及将与问题的边界相交的支撑体的形状划分为较小的标准正交像元。本文针对圆形和方形支架分别提出了两种支架分割方案。在这些方案中，将方形支架分为三角形单元和四边形单元，将圆形支架分为标准扇形单元，三角形单元和四边形单元。通过应用建议的规则，对某些单元进行了优化，以将其映射到标准形状上。这些方案适用于域上积分的计算和平衡方程的离散弱形式的评估。数值结果表明，与背景单元正交算法（BCQ）相比，采用划分方案的PUQ具有更高的精度和效率。

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