Parallel Solution of Eigenproblems in Structural Dynamics Using the Implicitly Restarted Lanczos Method

This paper presents a parallel implementation of the implicitly restarted Lanczos method for the solution of large and sparse eigenproblems that occur in modal analysis of complex structures using the finite element method. The implicitly restarted technique improves convergence of the desired eigen...

Full description

Saved in:
Bibliographic Details
Main Authors: Ainsworth, G O, Ribeiro, F L B, Magluta, C
Format: Conference Proceeding
Language:English
Subjects:
Convergence
Data structures
Eigenvalues and eigenfunctions
Equations
finite elements
generalized eigenvalue problem
Lanczos method
Mathematical model
Sparse matrices
Symmetric matrices
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper presents a parallel implementation of the implicitly restarted Lanczos method for the solution of large and sparse eigenproblems that occur in modal analysis of complex structures using the finite element method. The implicitly restarted technique improves convergence of the desired eigenvalues without the penalty of lost of orthogonality keeping the number of factorization steps in a modest size. In the parallel solution, a subdomain by subdomain approach was implemented and overlapping and non-overlapping mesh partitions were used. Compressed data structures in the formats CSRC and CSRC/CSR were employed to store the global matrices coefficients. The parallelization of numerical linear algebra operations presented in both Krylov and implicitly restarted methods are discussed.
DOI:10.1109/MCSUL.2009.22