移动最小二乘法研究进展与述评

Advances and review on moving least-square methods

为使移动最小二乘法能更好地应用到无网格方法中,详细阐述移动最小二乘逼近法、移动最小二乘插值法、MUKHERJEE改进的移动最小二乘法以及程玉民等提出的改进的移动最小二乘法和复变量移动最小二乘法等的研究进展,述评各种移动最小二乘法的优缺点,并概述各种移动最小二乘法形成的无网格方法的研究进展.

To put better use of moving least-square methods into meshless method, the advances of moving least-square methods, such as moving least-square approximation, interpolating moving least- square method, improved moving least-square approximation by MUKHERJEE, improved moving least- square approximation by CHENG Yumin et al, complex variable moving least-square approximation and so on, are discussed in detail. The advantages and disadvantages of these methods are reviewed. At last, the advances of the meshless methods based on these moving least-square methods are summarized.