基于p元的解析灵敏度分析方法的研究

A Study of the Analytical Sensitivity Based on the p Element Analysis

在ｐ元分析的基础上，讨论了解析灵敏度分析的列式和实现方法．以二维几何单元为例推导出隐式微分敏度分析公式，同时给出了利用ＰＣＧ迭代方法求解灵敏度方程的初始解向量选取方案．计算结果表明本文敏度分析方法是高效的、高精度的．

The formula and the implementation of the analytical sensitivity analysis are discussed based on the p element analysis. The implicit differential sensitivity analysis formula is derived for 2D geometric elements, and the strategies are given for selecting a start solution of the PCG iterative method used to solve the sensitivity equations. The computational results show that the method is high efficient and high accuracy.