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Title: A goal-oriented reduced-order modeling approach for nonlinear systems

Journal Article · · Computers and Mathematics with Applications (Oxford)
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Sponsoring Organization:
USDOE
Grant/Contract Number:
EE0004261
OSTI ID:
1631364
Journal Information:
Computers and Mathematics with Applications (Oxford), Journal Name: Computers and Mathematics with Applications (Oxford) Journal Issue: 11 Vol. 71; ISSN 0898-1221
Publisher:
ElsevierCopyright Statement
Country of Publication:
United Kingdom
Language:
English

References (21)

Principal interval decomposition framework for POD reduced-order modeling of convective Boussinesq flows: PRINCIPAL INTERVAL DECOMPOSITION MODEL REDUCTION FRAMEWORK journal February 2015
A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems journal December 2010
Nonlinear model order reduction based on local reduced-order bases: NONLINEAR MODEL REDUCTION BASED ON LOCAL REDUCED-ORDER BASES
  • Amsallem, David; Zahr, Matthew J.; Farhat, Charbel
  • International Journal for Numerical Methods in Engineering, Vol. 92, Issue 10 https://doi.org/10.1002/nme.4371
journal June 2012
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
Stability Properties of POD-Galerkin Approximations for the Compressible Navier-Stokes Equations journal March 2000
Low-dimensional model for vortex merging in the two-dimensional temporal mixing layer journal November 2001
POD and CVT-based reduced-order modeling of Navier–Stokes flows journal December 2006
Goal-oriented, model-constrained optimization for reduction of large-scale systems journal June 2007
Enablers for robust POD models journal February 2009
Stable Galerkin reduced order models for linearized compressible flow journal April 2009
A hierarchy of low-dimensional models for the transient and post-transient cylinder wake journal December 2003
Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition journal June 2009
Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation journal July 2013
Control of the Burgers Equation by a Reduced-Order Approach Using Proper Orthogonal Decomposition journal August 1999
Optimal snapshot location for computing POD basis functions journal February 2010
Turbulence and the dynamics of coherent structures. I. Coherent structures journal January 1987
Turbulence and the dynamics of coherent structures. II. Symmetries and transformations journal January 1987
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Preserving Symmetries in the Proper Orthogonal Decomposition journal March 1993
A Dual-Weighted Approach to Order Reduction in 4DVAR Data Assimilation journal March 2008
A Reduced Basis Approach to the Design of Low-Order Feedback Controllers for Nonlinear Continuous Systems journal May 1998

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