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六、加权余量有限元法 6.1 概述有限元法是一个大家所十分熟悉的方法,它的基本方程式,一般是利用变分原理由能量泛函的极值条件来建立,而对于某些能量泛函未知或根本不存在能量泛函的一类问题,应用有限元就会发生一定的困难。加权余量法的特点,恰恰可以弥补有限元法的不足,因为加权余量法是直接从问题的控制方程出发求解问题的,它与该问题是否存在能量泛函无关,所以可以直接用加权余量法对单元进行分析,由单元的余量方程即可形成单元的“刚度矩阵”,
Weighted Margin Finite Element Method 6.1 General The finite element method is a method that everyone is very familiar with. Its basic equation is generally established by using the variational principle from the extreme conditions of the energy functional, and for some energy There is a class of problems where the energy function is unknown or not exists at all, and there are certain difficulties in applying finite elements. The characteristics of the weighted residual method can exactly make up for the deficiencies of the finite element method because the weighted residual method directly solves the problem from the control equations of the problem. It has nothing to do with whether or not the problem has an energy functional, so the weighted residual can be directly used. The volume method analyzes the unit, and the unit’s residual equation forms the unit’s “stiffness matrix”.