Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: An adaptive model order reduction for highly nonlinear mechanical problems

P. Kerfriden, P. Gosselet, S. Adhikari, S. P A Bordas

Research output: Contribution to journalArticle

95 Citations (Scopus)

Abstract

This article describes a bridge between POD-based model order reduction techniques and the classical Newton/Krylov solvers. This bridge is used to derive an efficient algorithm to correct, " on-the-fly" , the reduced order modelling of highly nonlinear problems undergoing strong topological changes. Damage initiation problems tackled via a corrected hyperreduction method are used as an example. It is shown that the relevancy of reduced order model can be significantly improved with reasonable additional costs when using this algorithm, even when strong topological changes are involved.

Original languageEnglish
Pages (from-to)850-866
Number of pages17
JournalComputer Methods in Applied Mechanics and Engineering
Volume200
Issue number5-8
DOIs
Publication statusPublished - 15 Jan 2011
Externally publishedYes

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