An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics

Lee Margetts; O Lagrouche; A El Kacimi; P Woodward; G Medero

An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics

Lee Margetts, O Lagrouche (Editor), A El Kacimi (Editor), P Woodward (Editor), G Medero (Editor)

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

Abstract

We present an adaptive model order reduction for paramatrised nonlinear fracture mechanics. Efficient corrections of the intial reduced space, provided by the proper orthogonal decomposition, are performed on-the-fly during the solution process. The proposed strategy establishes a bridge between model order reduction and full-scale augmented Newton-Krylov solvers. We demonstrate its efficiency through numerical examples.

Original language	English
Title of host publication	Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering
Editors	O Lagrouche, A El Kacimi, P Woodward, G Medero
Place of Publication	Edinburgh, Scotland
Publisher	Heriot-Watt University
Pages	89-92
Number of pages	4
ISBN (Print)	ISBN 978-0-9565951-1-9
Publication status	Published - 5 Apr 2011
Event	19th UK Conference of the Association for Computational Mechanics in Engineering - Heriot-Watt University, Edinburgh Duration: 5 Apr 2011 → 6 Apr 2011 http://web.sbe.hw.ac.uk/acme2011/index.htm

Conference

Conference	19th UK Conference of the Association for Computational Mechanics in Engineering
City	Heriot-Watt University, Edinburgh
Period	5/04/11 → 6/04/11
Internet address	http://web.sbe.hw.ac.uk/acme2011/index.htm

Keywords

Nonlinear fracture
Model order reduction
Newton-Krylov
Augmented conjugate gradient

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Margetts, L., Lagrouche, O. (Ed.), El Kacimi, A. (Ed.), Woodward, P. (Ed.), & Medero, G. (Ed.) (2011). An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics. In O. Lagrouche, A. El Kacimi, P. Woodward, & G. Medero (Eds.), Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering (pp. 89-92). Heriot-Watt University. http://web.sbe.hw.ac.uk/acme2011/index.htm

Margetts, Lee ; Lagrouche, O (Editor) ; El Kacimi, A (Editor) et al. / An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics. Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering. editor / O Lagrouche ; A El Kacimi ; P Woodward ; G Medero. Edinburgh, Scotland : Heriot-Watt University, 2011. pp. 89-92

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title = "An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics",

abstract = "We present an adaptive model order reduction for paramatrised nonlinear fracture mechanics. Efficient corrections of the intial reduced space, provided by the proper orthogonal decomposition, are performed on-the-fly during the solution process. The proposed strategy establishes a bridge between model order reduction and full-scale augmented Newton-Krylov solvers. We demonstrate its efficiency through numerical examples.",

keywords = "Nonlinear fracture, Model order reduction, Newton-Krylov, Augmented conjugate gradient",

author = "Lee Margetts and O Lagrouche and {El Kacimi}, A and P Woodward and G Medero",

year = "2011",

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booktitle = "Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering",

publisher = "Heriot-Watt University",

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note = "19th UK Conference of the Association for Computational Mechanics in Engineering ; Conference date: 05-04-2011 Through 06-04-2011",

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Margetts, L, Lagrouche, O (ed.), El Kacimi, A (ed.), Woodward, P (ed.) & Medero, G (ed.) 2011, An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics. in O Lagrouche, A El Kacimi, P Woodward & G Medero (eds), Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering. Heriot-Watt University, Edinburgh, Scotland, pp. 89-92, 19th UK Conference of the Association for Computational Mechanics in Engineering, Heriot-Watt University, Edinburgh, 5/04/11. <http://web.sbe.hw.ac.uk/acme2011/index.htm>

An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics. / Margetts, Lee; Lagrouche, O (Editor); El Kacimi, A (Editor) et al.
Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering. ed. / O Lagrouche; A El Kacimi; P Woodward; G Medero. Edinburgh, Scotland: Heriot-Watt University, 2011. p. 89-92.

Research output: Chapter in Book/Conference proceeding › Conference contribution › peer-review

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T1 - An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics

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A2 - Medero, G

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A2 - Medero, G

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AB - We present an adaptive model order reduction for paramatrised nonlinear fracture mechanics. Efficient corrections of the intial reduced space, provided by the proper orthogonal decomposition, are performed on-the-fly during the solution process. The proposed strategy establishes a bridge between model order reduction and full-scale augmented Newton-Krylov solvers. We demonstrate its efficiency through numerical examples.

KW - Nonlinear fracture

KW - Model order reduction

KW - Newton-Krylov

KW - Augmented conjugate gradient

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SN - ISBN 978-0-9565951-1-9

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BT - Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering

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Margetts L, Lagrouche O, (ed.), El Kacimi A, (ed.), Woodward P, (ed.), Medero G, (ed.). An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics. In Lagrouche O, El Kacimi A, Woodward P, Medero G, editors, Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering. Edinburgh, Scotland: Heriot-Watt University. 2011. p. 89-92

An alternative to multiscale simulators based on model order reduction for nonlinear fracture mechanics

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