最小二乘近似法 meaning in English

least-squares approximation

In this paper , firstly , the theory and the discretization schemes of lbie and the concepts of mls and gmls are introduced ; secondly , lbie method is applied to solve the thin plate - bending problems and four typical examples are given to demonstrate the applicability and validity of the method . the results obtained from numerical examples agree well with the exact solutions and have an excellent rate of convergence
本文首先介绍了无网格局部边界积分方程方法的理论基础和离散步骤，以及移动最小二乘近似法和广义移动最小二乘近似法等概念；其次将该方法初步应用于计算薄板的弯曲问题，建立了完整的积分公式，求解了四个典型算例，结果同精确解非常接近，且收敛快。