Adaptive reduced order modelling in a domain decomposition framework

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

Adaptive reduced order modelling in a domain decomposition framework

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

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

Abstract

This paper proposes to merge domain decomposition methods with model order reduction methods. On one side, domain decompositon methods are a well-known way to divide a large mechanical problem into several smaller pieces easier to solve. It is very suitable to parallel computing since those subproblems can be solved independently using a coarse global problem to link the solutions together. On the other side, model order reduction methods are used to reduce the size of a problem using usually projections of the space of unknows onto spaces of much smaller dimensions. This enables to solve problems faster while keeping some accuracy. In this paper, we propose to use the balancing domain decomposition method coupled with the proper orthogonal decompostion method. To save time for assembling the stiffness matrix, the hyper-reduction method will be used.

Original language	English
Title of host publication	Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering
Editors	O Lagrhouche, A El Kacimi, P Woodward, G Medero
Place of Publication	Edinburgh, Scotland
Publisher	Heriot-Watt University
Pages	113-116
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

Model order reduction
Domain decomposition method
Balancing domain decomposition
Hyper-reduction
Proper orthogonal decomposition

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Margetts, L., Lagrhouche, O. (Ed.), El Kacimi, A. (Ed.), Woodward, P. (Ed.), & Medero, G. (Ed.) (2011). Adaptive reduced order modelling in a domain decomposition framework. In O. Lagrhouche, A. El Kacimi, P. Woodward, & G. Medero (Eds.), Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering (pp. 113-116). Heriot-Watt University. http://web.sbe.hw.ac.uk/acme2011/index.htm

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title = "Adaptive reduced order modelling in a domain decomposition framework",

abstract = "This paper proposes to merge domain decomposition methods with model order reduction methods. On one side, domain decompositon methods are a well-known way to divide a large mechanical problem into several smaller pieces easier to solve. It is very suitable to parallel computing since those subproblems can be solved independently using a coarse global problem to link the solutions together. On the other side, model order reduction methods are used to reduce the size of a problem using usually projections of the space of unknows onto spaces of much smaller dimensions. This enables to solve problems faster while keeping some accuracy. In this paper, we propose to use the balancing domain decomposition method coupled with the proper orthogonal decompostion method. To save time for assembling the stiffness matrix, the hyper-reduction method will be used.",

keywords = "Model order reduction, Domain decomposition method, Balancing domain decomposition, Hyper-reduction, Proper orthogonal decomposition",

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

year = "2011",

month = apr,

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isbn = "ISBN 978-0-9565951-1-9",

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

publisher = "Heriot-Watt University",

address = "United Kingdom",

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, Lagrhouche, O (ed.), El Kacimi, A (ed.), Woodward, P (ed.) & Medero, G (ed.) 2011, Adaptive reduced order modelling in a domain decomposition framework. in O Lagrhouche, 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. 113-116, 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>

Adaptive reduced order modelling in a domain decomposition framework. / Margetts, Lee; Lagrhouche, O (Editor); El Kacimi, A (Editor) et al.
Proceedings of the 19th UK Conference of the Association for Computational Mechanics in Engineering. ed. / O Lagrhouche; A El Kacimi; P Woodward; G Medero. Edinburgh, Scotland: Heriot-Watt University, 2011. p. 113-116.

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

TY - GEN

T1 - Adaptive reduced order modelling in a domain decomposition framework

AU - Margetts, Lee

A2 - Lagrhouche, O

A2 - El Kacimi, A

A2 - Woodward, P

A2 - Medero, G

A2 - Lagrhouche, O

A2 - El Kacimi, A

A2 - Woodward, P

A2 - Medero, G

PY - 2011/4/5

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N2 - This paper proposes to merge domain decomposition methods with model order reduction methods. On one side, domain decompositon methods are a well-known way to divide a large mechanical problem into several smaller pieces easier to solve. It is very suitable to parallel computing since those subproblems can be solved independently using a coarse global problem to link the solutions together. On the other side, model order reduction methods are used to reduce the size of a problem using usually projections of the space of unknows onto spaces of much smaller dimensions. This enables to solve problems faster while keeping some accuracy. In this paper, we propose to use the balancing domain decomposition method coupled with the proper orthogonal decompostion method. To save time for assembling the stiffness matrix, the hyper-reduction method will be used.

AB - This paper proposes to merge domain decomposition methods with model order reduction methods. On one side, domain decompositon methods are a well-known way to divide a large mechanical problem into several smaller pieces easier to solve. It is very suitable to parallel computing since those subproblems can be solved independently using a coarse global problem to link the solutions together. On the other side, model order reduction methods are used to reduce the size of a problem using usually projections of the space of unknows onto spaces of much smaller dimensions. This enables to solve problems faster while keeping some accuracy. In this paper, we propose to use the balancing domain decomposition method coupled with the proper orthogonal decompostion method. To save time for assembling the stiffness matrix, the hyper-reduction method will be used.

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Margetts L, Lagrhouche O, (ed.), El Kacimi A, (ed.), Woodward P, (ed.), Medero G, (ed.). Adaptive reduced order modelling in a domain decomposition framework. In Lagrhouche 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. 113-116

Adaptive reduced order modelling in a domain decomposition framework

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Keywords

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