摘要
通过采用经典的有限元方法对城市配水网络进行分析,针对求解方程组的形成特点,证明了其系数矩阵的对称正定性,进而给出了求解方程组的LDL^T法,特别是为满足大型、复杂配水网络的计算要求,笔者给出了计算精度可靠,大量节省计算机内存的Ls法,并提出了几种改进措施及复合迭代技术;经采用实例与牛顿法进行比较,证明该法具有明显的优越性,这将更有利于计算机(特别是微机)对大型复杂配水网络的分析与计算。
In this paper, the symmetric positive definiteness of coefficient matrix for solved equations is proved by analyzing a water distribution network. Then the various improved measures and complex iteration techniques are given for raising precision and saving memory. The method that is tested by an example is better than the Newton method. The conclusions of the paper will play an important role in water supply network, specially under large, comples conditions.
出处
《青岛建筑工程学院学报》
1993年第3期28-35,共8页
Journal of Qingdao Institute of Architecture and Engineering
关键词
给水
管网
有限元法
水力计算
water supply network, symmetric positive definiteness, LS-method, Newton-method, complex iteration
