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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. DOI: 10.1007/BF02484370
作者姓名:王怀忠
摘    要:ELEMENT-BY-ELEMENTMATRIXDECOMPOSITIONANDSTEP-BY-STEPINTEGRATIONMETHODFORTRANSIENTDYNAMICPROBLEMSWangHuaizhong(王怀忠)(ReceivedJu...

收稿时间:1994-07-07

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. DOI: 10.1007/BF02484370
Authors:Wang Huaizhong
Affiliation: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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