改进加权残值法收敛性的一种方法──逐次逼近法

本文对加权残值法的实际应用情况进行了探讨，针对其收敛性问题提出了一种改进方法──逐次逼近法．首先利用近似解的误差分布建立误差函数，然后用最小二乘法求整体误差的极小值，问题归结为求解一个线性方程组．薄板弯曲问题算例结果表明，本方法具有计算简单、收敛速度快，能进一步逼近精确解等优点

A Step by Step Approximation Method of Improving Convergence of Weighted Residual

A useful discussion on the practical applications of weighted residuals is presented in this paper.In view of the convergence problem,an improved method──step by step approximation method is put forward. The paper first sets up the error function by making use of error distribution of approximate solution and then evaluate the minimal error by least squares. The example of thin plate given in the paper shows the advantages of the methods: simple computation,fast convergence speed and more accurate solution through further approximation.