瞬态动力问题的遂单元矩阵分裂和逐步积分方法

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

Element-by-element Matrix decomposition and Step-by-Step Integration Method for Transient Dynamic Problems

shanghai University of Technology, shanghai Institute of Applied Mathematics and Mecanics, shanghai 200072

摘要: 本文对瞬态动力问题,结合逐步积分方法提出了一类广义的矩阵分裂和逐单元松弛算法,摆脱了有限元法通常需形成总体刚度矩阵,总体质量矩阵和求解大型稀疏方程组的工作,理论分析和计算实例表明,本文的广义矩阵分裂是最优的分裂方案.本文的算法物理意义明确,便于编写程序推广应用.
- 有限元法 /
- 逐步积分 /
- 矩阵分裂 /
- 逐单元松弛
Abstract: In this paper a general matrix decomposition scheme as well as an element-by-element relaxation algorithm combined with step-by-step integration method is presented for transient dynamic problems thus the finite element method can be free form forming global stiffness matrix global mass matrix as well as solyin large scale sparse equations Theory analysis and numerical results show that the presented matrix decomposition scheme is the optimal one The presented algoithm has else physicalmeaning and can be busily applied to finite element codes.
- finite element method /
- step-by-step integration matrixdecomposition /
- element-by-element relaxation /

[1]	钱伟长《变分法与有限元》(上),科学出版社(198).
[2]	K.J.Bathe,Finite Element Procedures in Engineering Analysis Prentice-Hall Inc.(1982).
[3]	康立山,全惠云等编,《数值解高维偏微分方程的分裂法》,上海科学技术出版社(1990).
[4]	O.C.Zienkiewicz,Computational Mechanics Today,Int.J.Numer,Methods Eng.34(1992),9-33.
[5]	王怀忠、赵毅,加速度为基本变量的逐步积分法,《中国博士后首届学术大会论文集》,国防工业出版社(1993).