摘要
误差估计以及自适应分析涉及算法的可靠性以及计算效率的改善.通过对无网格算法在误差估计方面的工作分析,根据原始解和后处理解的不同,将一种误差估计的方案引入到局部边界积分方程方法中,其中后处理解采用泰勒展开和移动最小二乘近似得到.数值算例显示,提出的误差估计方案能够有效地指示出真实的数值误差.
Error estimation as well as the subsequent adaptivity analysis are concerned with the reliability of numerical algorithms and improvement of computational efficiency. Based on the analysis of previous work in detail, a scheme of a-posteriori error estimation is introduced into the local boundary integral equation method （LBIEM）, which is constructed with the difference between the raw solutions of LBIEM and the post-processing solutions with Taylor expansion and moving least square approximation （MLSA）. Numerical tests show that the proposed error estimation scheme can indicate the numerical errors of LBIEM solution efficiently .
基金
National Natural Science Foundation of China (10102019)
关键词
误差估计
无网格方法
局部边界积分方程方法
error estimation
meshless method
local boundary integral equation method
作者简介
CHEN Hai-bo （corresponding author）, professor. E-mail：hbchen@ustc.edu.cn
