摘要
本文就给水管网水力计算中,有限元方法求解方程组的形成特点,利用其系数矩阵的对称正定性,给出了求解方程组的LDL ̄T法及界限法,并引入复合求解法。经实践验证,该法计算速度快,精度可靠,具有明显的优越性。
In this paper,according to the character of finite element balance equations of pipenetwork in hydraulic calculation,we make use of its symmetric positive definiteiiess of the coefficient matrix to raise the LDL ̄T method and the bound method for solving equations,and then introduce the complex solving method.By the test of practice,the method saves calculation time anddevelops accaracy,so it have better advantage obviously.
关键词
给水管网
水力计算
有限元法
Finite element
bound method
symmetric positive definiteness
complex iteration