有限元网格节点编号优化方法  

An Optimal Scheme of Node Labels in Finite Element Mesh

作　　者：郭晓霞[1] 刘建生[1] 陈慧琴[1] 

机构地区：[1]太原重型机械学院,太原030024

出　　处：《太原重型机械学院学报》2003年第2期124-127,共4页Journal of Taiyuan Heavy Machinery Institute

摘　　要：本文采用的有限元网格节点编号优化方法是一种归纳、演绎方法 ,通过对节点编号最优的典型网格的各种拓扑特性进行分析 ,从中归纳出三条规律 ,然后再利用该规律去反复调整节点编号未优化的网格 ,直至网格中的带宽值不变为止。算例的结果表明 ,对于任意划分的有限元网格 ,利用该方法对节点重新编号 ,可得到较小的半带宽值 ,节省了计算机的内存空间 ,提高了计算效率。In the paper,an optimal method for node labels in the finite element is presented,which is an inductive and deductive method.Three rules are induced by analyzing various topological characteristics of typical well ordered mesh.The node labels are renumbered repeatedly by using the above rules until no further reduction in bandwidth is realized.A large number of examples show that the presented scheme can reduce bandwidth for arbitrary mesh by renumbering the nodes.Thus the memory of computer is saved and the compute efficiency is improved.

关 键 词：有限元网格 节点编号 优化 带宽 计算机 

分 类 号：TB115[理学—数学]