A goal-oriented reduced-order modeling approach for nonlinear systems
- Authors:
- Publication Date:
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1631364
- Alternate Identifier(s):
- OSTI ID: 1351652
- Grant/Contract Number:
- EE0004261
- Resource Type:
- Published Article
- Journal Name:
- Computers and Mathematics with Applications (Oxford)
- Additional Journal Information:
- Journal Name: Computers and Mathematics with Applications (Oxford) Journal Volume: 71 Journal Issue: 11; Journal ID: ISSN 0898-1221
- Publisher:
- Elsevier
- Country of Publication:
- United Kingdom
- Language:
- English
Citation Formats
Borggaard, Jeff, Wang, Zhu, and Zietsman, Lizette. A goal-oriented reduced-order modeling approach for nonlinear systems. United Kingdom: N. p., 2016.
Web. doi:10.1016/j.camwa.2016.01.031.
Borggaard, Jeff, Wang, Zhu, & Zietsman, Lizette. A goal-oriented reduced-order modeling approach for nonlinear systems. United Kingdom. https://doi.org/10.1016/j.camwa.2016.01.031
Borggaard, Jeff, Wang, Zhu, and Zietsman, Lizette. Wed .
"A goal-oriented reduced-order modeling approach for nonlinear systems". United Kingdom. https://doi.org/10.1016/j.camwa.2016.01.031.
@article{osti_1631364,
title = {A goal-oriented reduced-order modeling approach for nonlinear systems},
author = {Borggaard, Jeff and Wang, Zhu and Zietsman, Lizette},
abstractNote = {},
doi = {10.1016/j.camwa.2016.01.031},
journal = {Computers and Mathematics with Applications (Oxford)},
number = 11,
volume = 71,
place = {United Kingdom},
year = {Wed Jun 01 00:00:00 EDT 2016},
month = {Wed Jun 01 00:00:00 EDT 2016}
}
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https://doi.org/10.1016/j.camwa.2016.01.031
https://doi.org/10.1016/j.camwa.2016.01.031
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Cited by: 7 works
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Works referenced in this record:
A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems
journal, December 2010
- Carlberg, Kevin; Farhat, Charbel
- International Journal for Numerical Methods in Engineering, Vol. 86, Issue 3
Nonlinear model order reduction based on local reduced-order bases: NONLINEAR MODEL REDUCTION BASED ON LOCAL REDUCED-ORDER BASES
journal, June 2012
- Amsallem, David; Zahr, Matthew J.; Farhat, Charbel
- International Journal for Numerical Methods in Engineering, Vol. 92, Issue 10
Goal-oriented, model-constrained optimization for reduction of large-scale systems
journal, June 2007
- Bui-Thanh, T.; Willcox, K.; Ghattas, O.
- Journal of Computational Physics, Vol. 224, Issue 2
Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation
journal, July 2013
- Balajewicz, Maciej J.; Dowell, Earl H.; Noack, Bernd R.
- Journal of Fluid Mechanics, Vol. 729
Enablers for robust POD models
journal, February 2009
- Bergmann, M.; Bruneau, C. -H.; Iollo, A.
- Journal of Computational Physics, Vol. 228, Issue 2
Stability Properties of POD-Galerkin Approximations for the Compressible Navier-Stokes Equations
journal, March 2000
- Iollo, A.; Lanteri, S.; Désidéri, J. -A.
- Theoretical and Computational Fluid Dynamics, Vol. 13, Issue 6
Min-max game theory and algebraic Riccati equations for boundary control problems with continuous input-solution map. Part II: The general case
journal, January 1994
- McMillan, C.; Triggiani, R.
- Applied Mathematics & Optimization, Vol. 29, Issue 1
Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition
journal, June 2009
- Hay, Alexander; Borggaard, Jeffrey T.; Pelletier, Dominique
- Journal of Fluid Mechanics, Vol. 629
Preserving Symmetries in the Proper Orthogonal Decomposition
journal, March 1993
- Aubry, Nadine; Lian, Wen-Yu; Titi, Edriss S.
- SIAM Journal on Scientific Computing, Vol. 14, Issue 2
Stable Galerkin reduced order models for linearized compressible flow
journal, April 2009
- Barone, Matthew F.; Kalashnikova, Irina; Segalman, Daniel J.
- Journal of Computational Physics, Vol. 228, Issue 6
Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition
journal, August 1999
- Kunisch, K.; Volkwein, S.
- Journal of Optimization Theory and Applications, Vol. 102, Issue 2
Turbulence and the dynamics of coherent structures. I. Coherent structures
journal, January 1987
- Sirovich, Lawrence
- Quarterly of Applied Mathematics, Vol. 45, Issue 3
Principal interval decomposition framework for POD reduced-order modeling of convective Boussinesq flows: PRINCIPAL INTERVAL DECOMPOSITION MODEL REDUCTION FRAMEWORK
journal, February 2015
- San, O.; Borggaard, J.
- International Journal for Numerical Methods in Fluids, Vol. 78, Issue 1
Optimal snapshot location for computing POD basis functions
journal, February 2010
- Kunisch, Karl; Volkwein, Stefan
- ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 44, Issue 3
Low-dimensional model for vortex merging in the two-dimensional temporal mixing layer
journal, November 2001
- IJzerman, W. L.; van Groesen, E.
- European Journal of Mechanics - B/Fluids, Vol. 20, Issue 6
A hierarchy of low-dimensional models for the transient and post-transient cylinder wake
journal, December 2003
- Noack, Bernd R.; Afanasiev, Konstantin; MorzyŃSki, Marek
- Journal of Fluid Mechanics, Vol. 497
Turbulence and the dynamics of coherent structures. II. Symmetries and transformations
journal, January 1987
- Sirovich, Lawrence
- Quarterly of Applied Mathematics, Vol. 45, Issue 3
A Reduced Basis Approach to the Design of Low-Order Feedback Controllers for Nonlinear Continuous Systems
journal, May 1998
- Burns, John A.; King, Belinda B.
- Journal of Vibration and Control, Vol. 4, Issue 3
Turbulence and the dynamics of coherent structures. III. Dynamics and scaling
journal, January 1987
- Sirovich, Lawrence
- Quarterly of Applied Mathematics, Vol. 45, Issue 3
POD and CVT-based reduced-order modeling of Navier–Stokes flows
journal, December 2006
- Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun
- Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue 1-3