基于Householder方法的子域精细积分  

Subdomain precise integration method based on Householder method

作　　者：刘婷婷[1] 张文首[1] 林家浩[1] 

机构地区：[1]大连理工大学工业装备结构分析国家重点实验室,大连116024

出　　处：《计算力学学报》2009年第4期535-538,共4页Chinese Journal of Computational Mechanics

摘　　要：有限元法生成的矩阵通常具有尺度和带宽很大的特点,应用子域精细积分面临着选择子域的困难。本文采用Householder方法将矩阵三对角化,从而使子域精细积分可用于大型有限元系统。通过在子域精细积分中引入预估-校正格式,可以在不需要迭代的情况下得到比蛙跳格式更高的精度。The sizes and bandwidths of the matrices generated by finite element method are usually quite large, so it is difficult to choose a suitable subdomain when using subdomain precise integration method. By using Householder method to reduce the matrices to tridiagonal form in this paper, subdomain precise integration method can then be used in large finite element systems. More accurate results compared to modified midpoint method can be achieved without iterations by introducing predictor-corrector method to subdomain precise integration method.

关 键 词：Householder变换 预估-校正 子域精细积分 瞬态热传导 

分 类 号：O241.8[理学—计算数学]