Windowed least-squares model reduction for dynamical systems
Abstract
Abstract not provided.
- Authors:
-
- Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-CA), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1721607
- Alternate Identifier(s):
- OSTI ID: 1721610; OSTI ID: 1809409
- Report Number(s):
- SAND-2019-13087J; SAND-2020-12252J
Journal ID: ISSN 0021-9991; 680812; TRN: US2204909
- Grant/Contract Number:
- AC04-94AL85000; NA0003525; 103723/05.30.02
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Computational Physics
- Additional Journal Information:
- Journal Volume: 426; Journal ID: ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING; reduced-order modeling; residual minimization; least-squares; Petrov–Galerkin; optimal control; space–time
Citation Formats
Parish, Eric J., and Carlberg, Kevin T. Windowed least-squares model reduction for dynamical systems. United States: N. p., 2020.
Web. doi:10.1016/j.jcp.2020.109939.
Parish, Eric J., & Carlberg, Kevin T. Windowed least-squares model reduction for dynamical systems. United States. https://doi.org/10.1016/j.jcp.2020.109939
Parish, Eric J., and Carlberg, Kevin T. Wed .
"Windowed least-squares model reduction for dynamical systems". United States. https://doi.org/10.1016/j.jcp.2020.109939. https://www.osti.gov/servlets/purl/1721607.
@article{osti_1721607,
title = {Windowed least-squares model reduction for dynamical systems},
author = {Parish, Eric J. and Carlberg, Kevin T.},
abstractNote = {Abstract not provided.},
doi = {10.1016/j.jcp.2020.109939},
journal = {Journal of Computational Physics},
number = ,
volume = 426,
place = {United States},
year = {Wed Oct 28 00:00:00 EDT 2020},
month = {Wed Oct 28 00:00:00 EDT 2020}
}
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Works referenced in this record:
Parametric Reduced-Order Models for Probabilistic Analysis of Unsteady Aerodynamic Applications
journal, October 2008
- Bui-Thanh, T.; Willcox, K.; Ghattas, O.
- AIAA Journal, Vol. 46, Issue 10
Residual Minimizing Model Interpolation for Parameterized Nonlinear Dynamical Systems
journal, January 2012
- Constantine, Paul G.; Wang, Qiqi
- SIAM Journal on Scientific Computing, Vol. 34, Issue 4
The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows
journal, June 2013
- Carlberg, Kevin; Farhat, Charbel; Cortial, Julien
- Journal of Computational Physics, Vol. 242
Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basisa posteriori error bounds
journal, January 2005
- Veroy, K.; Patera, A. T.
- International Journal for Numerical Methods in Fluids, Vol. 47, Issue 8-9
A space-time hp-interpolation-based certified reduced basis method for Burgers' equation
journal, May 2014
- Yano, Masayuki; Patera, Anthony T.; Urban, Karsten
- Mathematical Models and Methods in Applied Sciences, Vol. 24, Issue 09
An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations
journal, November 2004
- Barrault, Maxime; Maday, Yvon; Nguyen, Ngoc Cuong
- Comptes Rendus Mathematique, Vol. 339, Issue 9
Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems
journal, January 2016
- Chaturantabut, S.; Beattie, C.; Gugercin, S.
- SIAM Journal on Scientific Computing, Vol. 38, Issue 5
Online adaptive basis refinement and compression for reduced-order models via vector-space sieving
journal, June 2020
- Etter, Philip A.; Carlberg, Kevin T.
- Computer Methods in Applied Mechanics and Engineering, Vol. 364
The Adjoint Petrov–Galerkin method for non-linear model reduction
journal, June 2020
- Parish, Eric J.; Wentland, Christopher R.; Duraisamy, Karthik
- Computer Methods in Applied Mechanics and Engineering, Vol. 365
Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations: Application to Transport and Continuum Mechanics
journal, May 2008
- Rozza, G.; Huynh, D. B. P.; Patera, A. T.
- Archives of Computational Methods in Engineering, Vol. 15, Issue 3
A new error bound for reduced basis approximation of parabolic partial differential equations
journal, February 2012
- Urban, Karsten; Patera, Anthony T.
- Comptes Rendus Mathematique, Vol. 350, Issue 3-4
Convergence of the forward-backward sweep method in optimal control
journal, January 2012
- McAsey, Michael; Mou, Libin; Han, Weimin
- Computational Optimization and Applications, Vol. 53, Issue 1
Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space
journal, January 2008
- Bui-Thanh, T.; Willcox, K.; Ghattas, O.
- SIAM Journal on Scientific Computing, Vol. 30, Issue 6
Jacobian-free Newton–Krylov methods: a survey of approaches and applications
journal, January 2004
- Knoll, D. A.; Keyes, D. E.
- Journal of Computational Physics, Vol. 193, Issue 2
Structure-preserving model reduction for mechanical systems
journal, October 2003
- Lall, Sanjay; Krysl, Petr; Marsden, Jerrold E.
- Physica D: Nonlinear Phenomena, Vol. 184, Issue 1-4
Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains
journal, October 1992
- Pironneau, O.; Liou, J.; Tezduyar, T.
- Computer Methods in Applied Mechanics and Engineering, Vol. 100, Issue 1
Principal component analysis in linear systems: Controllability, observability, and model reduction
journal, February 1981
- Moore, B.
- IEEE Transactions on Automatic Control, Vol. 26, Issue 1
Model reduction using L 1 -norm minimization as an application to nonlinear hyperbolic problems: Model reduction for hyperbolic problems
journal, April 2018
- Abgrall, R.; Crisovan, R.
- International Journal for Numerical Methods in Fluids, Vol. 87, Issue 12
Synthesis of minimum roundoff noise fixed point digital filters
journal, September 1976
- Mullis, C.; Roberts, R.
- IEEE Transactions on Circuits and Systems, Vol. 23, Issue 9
On difference schemes of third order accuracy for nonlinear hyperbolic systems
journal, June 1970
- Rusanov, V. V.
- Journal of Computational Physics, Vol. 5, Issue 3
Reliable Real-Time Solution of Parametrized Partial Differential Equations: Reduced-Basis Output Bound Methods
journal, November 2001
- Prud’homme, C.; Rovas, D. V.; Veroy, K.
- Journal of Fluids Engineering, Vol. 124, Issue 1
Multiple shooting method for two-point boundary value problems
journal, December 1962
- Morrison, David D.; Riley, James D.; Zancanaro, John F.
- Communications of the ACM, Vol. 5, Issue 12
Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics
journal, January 2015
- Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul
- SIAM Journal on Scientific Computing, Vol. 37, Issue 2
A new finite element formulation for computational fluid dynamics: VIII. The galerkin/least-squares method for advective-diffusive equations
journal, May 1989
- Hughes, Thomas J. R.; Franca, Leopoldo P.; Hulbert, Gregory M.
- Computer Methods in Applied Mechanics and Engineering, Vol. 73, Issue 2
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
journal, October 2010
- Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel
- International Journal for Numerical Methods in Engineering, Vol. 86, Issue 2
GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
journal, July 1986
- Saad, Youcef; Schultz, Martin H.
- SIAM Journal on Scientific and Statistical Computing, Vol. 7, Issue 3
Model reduction for compressible flows using POD and Galerkin projection
journal, February 2004
- Rowley, Clarence W.; Colonius, Tim; Murray, Richard M.
- Physica D: Nonlinear Phenomena, Vol. 189, Issue 1-2
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows
journal, January 1993
- Berkooz, G.; Holmes, P.; Lumley, J. L.
- Annual Review of Fluid Mechanics, Vol. 25, Issue 1
Adaptive h -refinement for reduced-order models : ADAPTIVE
journal, November 2014
- Carlberg, Kevin
- International Journal for Numerical Methods in Engineering, Vol. 102, Issue 5
Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency: NONLINEAR MODEL REDUCTION AND ENERGY-CONSERVING SAMPLING AND WEIGHTING
journal, April 2014
- Farhat, Charbel; Avery, Philip; Chapman, Todd
- International Journal for Numerical Methods in Engineering, Vol. 98, Issue 9
Enablers for robust POD models
journal, February 2009
- Bergmann, M.; Bruneau, C. -H.; Iollo, A.
- Journal of Computational Physics, Vol. 228, Issue 2
A Survey of Methods Available for the Numerical Optimization of Continuous Dynamic Systems
journal, September 2011
- Conway, Bruce A.
- Journal of Optimization Theory and Applications, Vol. 152, Issue 2
Space-Time Galerkin POD with Application in Optimal Control of Semilinear Partial Differential Equations
journal, January 2018
- Baumann, Manuel; Benner, Peter; Heiland, Jan
- SIAM Journal on Scientific Computing, Vol. 40, Issue 3
Space-time finite element methods for elastodynamics: Formulations and error estimates
journal, February 1988
- Hughes, Thomas J. R.; Hulbert, Gregory M.
- Computer Methods in Applied Mechanics and Engineering, Vol. 66, Issue 3
A stabilized proper orthogonal decomposition reduced-order model for large scale quasigeostrophic ocean circulation
journal, May 2015
- San, Omer; Iliescu, Traian
- Advances in Computational Mathematics, Vol. 41, Issue 5
Conservative model reduction for finite-volume models
journal, October 2018
- Carlberg, Kevin; Choi, Youngsoo; Sargsyan, Syuzanna
- Journal of Computational Physics, Vol. 371
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
journal, January 2015
- Benner, Peter; Gugercin, Serkan; Willcox, Karen
- SIAM Review, Vol. 57, Issue 4
$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems
journal, January 2008
- Gugercin, S.; Antoulas, A. C.; Beattie, C.
- SIAM Journal on Matrix Analysis and Applications, Vol. 30, Issue 2
Minimal subspace rotation on the Stiefel manifold for stabilization and enhancement of projection-based reduced order models for the compressible Navier–Stokes equations
journal, September 2016
- Balajewicz, Maciej; Tezaur, Irina; Dowell, Earl
- Journal of Computational Physics, Vol. 321
Variational multiscale proper orthogonal decomposition: Navier-stokes equations: VARIATIONAL MULTISCALE POD
journal, December 2013
- Iliescu, Traian; Wang, Zhu
- Numerical Methods for Partial Differential Equations, Vol. 30, Issue 2
Finite Element Methods of Least-Squares Type
journal, January 1998
- Bochev, Pavel B.; Gunzburger, Max D.
- SIAM Review, Vol. 40, Issue 4
A space-time formulation for multiscale phenomena
journal, November 1996
- Hughes, Thomas J. R.; Stewart, James R.
- Journal of Computational and Applied Mathematics, Vol. 74, Issue 1-2
Entropy stable reduced order modeling of nonlinear conservation laws
journal, December 2020
- Chan, Jesse
- Journal of Computational Physics, Vol. 423
A numerical investigation of velocity–pressure reduced order models for incompressible flows
journal, February 2014
- Caiazzo, Alfonso; Iliescu, Traian; John, Volker
- Journal of Computational Physics, Vol. 259
Galerkin v. least-squares Petrov–Galerkin projection in nonlinear model reduction
journal, February 2017
- Carlberg, Kevin; Barone, Matthew; Antil, Harbir
- Journal of Computational Physics, Vol. 330
Neural network closures for nonlinear model order reduction
journal, January 2018
- San, Omer; Maulik, Romit
- Advances in Computational Mathematics, Vol. 44, Issue 6