Reference : Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorith...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/14475

Title :	Bridging proper orthogonal decomposition methods and augmented Newton-Krylov algorithms: An adaptive model order reduction for highly nonlinear mechanical problems
Language :	English
Author, co-author :	Kerfriden, P. [Cardiff University, Queen's Buildings, The Parade, Cardiff CF24 3AA, Wales, United Kingdom]
	Gosselet, P. [Ecole Normale Superieure de Cachan, 61 Avenue du Président Wilson, F-94230 Cachan, France]
	Adhikari, S. [Swansea University, Singleton Park, Swansea SA2 8PP, Wales, United Kingdom]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	2011
Journal title :	Computer Methods in Applied Mechanics & Engineering
Volume :	200
Issue/season :	5-8
Pages :	850-866
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0045-7825
Keywords :	[en] Damage propagation ; Hyperreduction ; Model order reduction (MOR) ; Newton/Krylov solver ; Projected conjugate gradient ; Proper orthogonal decomposition (POD) ; Conjugate gradient ; Proper orthogonal decompositions ; Adaptive algorithms ; Conjugate gradient method ; Topology
Abstract :	[en] 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. © 2010.
Funders :	Royal Academy of Engineering and Leverhulme Trust Senior Research Fellowship
Name of the research project :	Towards the next generation surgical simulators
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/14475
DOI :	10.1016/j.cma.2010.10.009

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Open access POD_Krylov_CMAME.pdf Author postprint 2.33 MB View/Open Additional material(s): File Commentary Size Access Open access Bordas(1).pdf Poster Royal Academy of Engineering 151.19 kB View/Open

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