An exact reanalysis algorithm for local non-topological high-rank   structural modifications in finite element analysis

doi:10.1016/j.compstruc.2014.07.014

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	An exact reanalysis algorithm for local non-topological high-rank structural modifications in finite element analysis
	Song, Qi ; Chen, Pu ; Sun, Shuli
刊名	计算机与结构
	2014
关键词	Structural modification Reanalysis Finite element Sparse matrix Triangular factorization Graph partition SPARSE STATIC SOLVER DESIGN
DOI	10.1016/j.compstruc.2014.07.014
英文摘要	This paper proposes a novel direct reanalysis algorithm based on finding updated triangular factorization in sparse matrix solution. The key concept lies on the binary tree characteristics of the global stiffness matrix derived by a graph partitioner as fill-ins' reducer. Accommodating a local modification, the update of the triangular factor happens only, through a particular path of the binary tree, which traces back from modified nodes to the root node. Numerical examples show that the proposed algorithm improves reanalysis efficiency significantly, especially for high-rank structural modification. In terms of implementation, little additional storage is needed to perform the proposed algorithm. This method can be applied to a wide range of engineering problems and can be the foundation of a lot of subsequent analyses. (C) 2014 Elsevier Ltd. All rights reserved.; Computer Science, Interdisciplinary Applications; Engineering, Civil; SCI(E); EI; 0; ARTICLE; sunsl@mech.pku.edu.cn; 60-72; 143
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/209032]
专题	工学院
推荐引用方式 GB/T 7714	Song, Qi,Chen, Pu,Sun, Shuli. An exact reanalysis algorithm for local non-topological high-rank structural modifications in finite element analysis[J]. 计算机与结构,2014.
APA	Song, Qi,Chen, Pu,&Sun, Shuli.(2014).An exact reanalysis algorithm for local non-topological high-rank structural modifications in finite element analysis.计算机与结构.
MLA	Song, Qi,et al."An exact reanalysis algorithm for local non-topological high-rank structural modifications in finite element analysis".计算机与结构 (2014).