Total and selective reuse of Krylov subspaces for the resolution of sequences of nonlinear structural problems
Numerical Analysis
2013-02-01 v1 Numerical Analysis
Abstract
This paper deals with the definition and optimization of augmentation spaces for faster convergence of the conjugate gradient method in the resolution of sequences of linear systems. Using advanced convergence results from the literature, we present a procedure based on a selection of relevant approximations of the eigenspaces for extracting, selecting and reusing information from the Krylov subspaces generated by previous solutions in order to accelerate the current iteration. Assessments of the method are proposed in the cases of both linear and nonlinear structural problems.
Keywords
Cite
@article{arxiv.1301.7530,
title = {Total and selective reuse of Krylov subspaces for the resolution of sequences of nonlinear structural problems},
author = {Pierre Gosselet and Christian Rey and Julien Pebrel},
journal= {arXiv preprint arXiv:1301.7530},
year = {2013}
}
Comments
International Journal for Numerical Methods in Engineering (2013) 24 pages