Research on the optimal permutation of the nodes of a finite-element network

摘要

In this paper, the method of decreasing the bandwidth of the matrix using the finite-element method(FEM) is an inductive one. By the analysis of the order features of the nodes when the networkbandwidth is at the minimum value, three criteria can be induced. The correctness and reliability ofthe regulations are proven by testing a large number of examples. The procedure takes an arbitraryinput sequence and creates an opμmal bandwidth for a complex network system by renumberingthenode labels. Thus, considerable improvement for computer storage and μme is achieved in thesolution of the systems.