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ELEMENT-BY-ELEMENT MATRIX DECOMPOSITION ANDSTEP-BY-STEP INTEGRATION METHOD FOR TRANSIENTDYNAMIC PROBLEMS
引用本文:王怀忠.ELEMENT-BY-ELEMENT MATRIX DECOMPOSITION ANDSTEP-BY-STEP INTEGRATION METHOD FOR TRANSIENTDYNAMIC PROBLEMS[J].应用数学和力学(英文版),1995,16(11):1039-1045.
作者姓名:王怀忠
摘    要:ELEMENT-BY-ELEMENTMATRIXDECOMPOSITIONANDSTEP-BY-STEPINTEGRATIONMETHODFORTRANSIENTDYNAMICPROBLEMSWangHuaizhong(王怀忠)(ReceivedJu...

收稿时间:7 July 1994

Element-by-element matrix decomposition and step-by-step integration method for transient dynamic problems
Wang Huaizhong.Element-by-element matrix decomposition and step-by-step integration method for transient dynamic problems[J].Applied Mathematics and Mechanics(English Edition),1995,16(11):1039-1045.
Authors:Wang Huaizhong
Institution:Shanghai Univcrsity; Shanghai Institutc of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China
Abstract:In this paper a general matrix decomposition scheme as well as an element-by-clement relaxation algorithm combined with step-by -step integration method is presented for transient dynamic problems thus the finite element method can be fromforming 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
Keywords:finite  element method  step-hy-step integration matrixdecomposition  element -by-element relaxation
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