A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods.

Journal Article · Sat Jan 01 00:00:00 EST 2005 · Proposed for publication in International Journal for Numerical Methods in Engineering.

DOI:https://doi.org/10.1002/nme.1365· OSTI ID:990992

Arbenz, Peter ^[1]; Lehoucq, Richard B; Hetmaniuk, Ulrich L; Tuminaro, Raymond Stephen ^[2]

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1. Swiss Federal Institute of Technology (ETH), Zurich, Switzerland
2. Sandia National Laboratories, Livermore, CA

The goal of our paper is to compare a number of algorithms for computing a large number of eigenvectors of the generalized symmetric eigenvalue problem arising from a modal analysis of elastic structures. The shift-invert Lanczos algorithm has emerged as the workhorse for the solution of this generalized eigenvalue problem; however, a sparse direct factorization is required for the resulting set of linear equations. Instead, our paper considers the use of preconditioned iterative methods. We present a brief review of available preconditioned eigensolvers followed by a numerical comparison on three problems using a scalable algebraic multigrid (AMG) preconditioner.

• Research Organization: Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 990992
• Report Number(s): SAND2005-0282J; ISSN 1097-0207; TRN: US201020%%660
• Journal Information: Proposed for publication in International Journal for Numerical Methods in Engineering., Vol. 64, Issue 2; ISSN 0029-5981
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
ALGORITHMS
EIGENVALUES
EIGENVECTORS
FACTORIZATION
ITERATIVE METHODS
THREE-DIMENSIONAL CALCULATIONS
ELASTICITY