Parallel computing study for the large-scale generalized eigenvalue   problems in modal analysis

doi:10.1007/s11433-013-5203-5

CORC > 北京大学 > 工学院

	Parallel computing study for the large-scale generalized eigenvalue problems in modal analysis
	Fan XuanHua ; Chen Pu ; Wu RuiAn ; Xiao ShiFu
刊名	science china physics mechanics astronomy
	2014
关键词	modal analysis parallel computing eigenvalue problems Krylov-Schur method implicitly restarted Arnoldi method Jacobi-Davidson method BLOCK LANCZOS-ALGORITHM DAVIDSON METHOD NONSYMMETRIC MATRICES SYMMETRIC-MATRICES ITERATION METHOD EIGENPROBLEMS
DOI	10.1007/s11433-013-5203-5
英文摘要	In this paper we study the algorithms and their parallel implementation for solving large-scale generalized eigenvalue problems in modal analysis. Three predominant subspace algorithms, i.e., Krylov-Schur method, implicitly restarted Arnoldi method and Jacobi-Davidson method, are modified with some complementary techniques to make them suitable for modal analysis. Detailed descriptions of the three algorithms are given. Based on these algorithms, a parallel solution procedure is established via the PANDA framework and its associated eigensolvers. Using the solution procedure on a machine equipped with up to 4800 processors, the parallel performance of the three predominant methods is evaluated via numerical experiments with typical engineering structures, where the maximum testing scale attains twenty million degrees of freedom. The speedup curves for different cases are obtained and compared. The results show that the three methods are good for modal analysis in the scale of ten million degrees of freedom with a favorable parallel scalability.; Physics, Multidisciplinary; SCI(E); EI; 1; ARTICLE; somuchfan@gmail.com; chenpu@pku.edu.cn; 3; 477-489; 57
语种	英语
内容类型	期刊论文
源URL	[http://ir.pku.edu.cn/handle/20.500.11897/215458]
专题	工学院
推荐引用方式 GB/T 7714	Fan XuanHua,Chen Pu,Wu RuiAn,et al. Parallel computing study for the large-scale generalized eigenvalue problems in modal analysis[J]. science china physics mechanics astronomy,2014.
APA	Fan XuanHua,Chen Pu,Wu RuiAn,&Xiao ShiFu.(2014).Parallel computing study for the large-scale generalized eigenvalue problems in modal analysis.science china physics mechanics astronomy.
MLA	Fan XuanHua,et al."Parallel computing study for the large-scale generalized eigenvalue problems in modal analysis".science china physics mechanics astronomy (2014).