摘要
本文采用的有限元网格节点优化排序方法是一种归纳、演绎方法。通过对在网格半带宽最小时节点排列的一些特征进行分析，从其中归纳出三条规律，通过大量的算例来验证该规律的正确性和可靠性，结果表明：对于任意划分的有限单元网格，该方法通过对节点的重新排序，能够优化出最佳的半带宽值，大大减少了计算机内存占有空间，提高了运算效率。
In this paper, the optimal permutation method of the nets nodes in the finite element method (FEM) is a inductive and deductive method. By the analysis to the order features of the nodes when the network bandwidth is the minimum value, we can induce three regulars. The correctness and reliability of the regulars are proved by testing a large number of examples. The procedure takes an arbitrary input sequence and creates an optimal bandwidth for complex network system by renumbering the node labels. Thus, considerable improvement for computer storage and time is achieved in the solution of the systems.
出处
《计算力学学报》
CAS
CSCD
1999年第3期366-369,共4页
Chinese Journal of Computational Mechanics
关键词
有限元
网格
矩阵
半带宽
节点
优化排序
finite element method
network
optimization
matrix
bandwidth
