p自适应分析求解快速迭代算法的研究  

A Study of the Fast Iterative Method for p Adaptive Computation

作　　者：陈新度[1] 余俊[1] 周济 

机构地区：[1]机械科学与工程学院

出　　处：《华中理工大学学报》1997年第3期38-40,共3页Journal of Huazhong University of Science and Technology

基　　金：国家自然科学基金

摘　　要：提出一种结构系统ｐ自适应有限元分析快速求解算法．该方法以预处理共轭梯度法为基础，采用了逐单元矩阵处理技术和基于单元的分块预处理矩阵技术；提出以高斯消元法求得ｐ＝１或２时问题的解作为高阶问题初始解的求解策略，避免了显式组装系统总体刚度矩阵，具有内存需求少、收敛速度快的优点．A fast solving method with p adaptive finite element analysis for structure systems is presented. It is based on the preconditioned conjugate gradient method and the element by element matrix handling techniques as well as a blocked preconditioner constructed with the element stiffness matrices have been used. The solving strategy proposed consists in that the solution of a lower order problem, p equals 1 or 2, obtained using Gaussian eliminating method is taken as the initial solution for a higher order one. The explicit packaging of the global stiffness matrix is avoided and less memory is required with a high converging rate.

关 键 词：有限元法 自适应分析 p自适应有限元 迭代算法 

分 类 号：O242.21[理学—计算数学]