A local basis approximation approach for nonlinear parametric model order reduction

Vlachas, Konstantinos; Tatsis, Konstantinos; Agathos, Konstantinos; Brink, Adam R.; Chatzi, Eleni

doi:10.1016/j.jsv.2021.116055

A local basis approximation approach for nonlinear parametric model order reduction

Journal Article · Tue Jun 01 00:00:00 EDT 2021 · Journal of Sound and Vibration

DOI:https://doi.org/10.1016/j.jsv.2021.116055· OSTI ID:1772137

Vlachas, Konstantinos; Tatsis, Konstantinos; ; ; Chatzi, Eleni

Not Available

View Journal Article

Sponsoring Organization:: USDOE

OSTI ID:: 1772137

Alternate ID(s):: OSTI ID: 1772042

Journal Information:: Journal of Sound and Vibration, Journal Name: Journal of Sound and Vibration Journal Issue: C Vol. 502; ISSN 0022-460X

Publisher:: ElsevierCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (43)

Real-time simulation of surgery by reduced-order modeling and X-FEM techniques: REAL-TIME SIMULATION OF SURGERY Niroomandi, S.; Alfaro, I.; González, D. International Journal for Numerical Methods in Biomedical Engineering, Vol. 28, Issue 5 https://doi.org/10.1002/cnm.1491	journal	January 2012
A four-node plate bending element based on Mindlin/Reissner plate theory and a mixed interpolation Bathe, Klaus-Jürgen; Dvorkin, Eduardo N. International Journal for Numerical Methods in Engineering, Vol. 21, Issue 2 https://doi.org/10.1002/nme.1620210213	journal	February 1985
A method for interpolating on manifolds structural dynamics reduced-order models Amsallem, David; Cortial, Julien; Carlberg, Kevin International Journal for Numerical Methods in Engineering, Vol. 80, Issue 9 https://doi.org/10.1002/nme.2681	journal	November 2009
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel International Journal for Numerical Methods in Engineering, Vol. 86, Issue 2 https://doi.org/10.1002/nme.3050	journal	October 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
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 Farhat, Charbel; Avery, Philip; Chapman, Todd International Journal for Numerical Methods in Engineering, Vol. 98, Issue 9 https://doi.org/10.1002/nme.4668	journal	April 2014
Progressive construction of a parametric reduced-order model for PDE-constrained optimization: PDE-CONSTRAINED OPTIMIZATION USING A PROGRESSIVELY CONSTRUCTED ROM Zahr, Matthew J.; Farhat, Charbel International Journal for Numerical Methods in Engineering, Vol. 102, Issue 5 https://doi.org/10.1002/nme.4770	journal	December 2014
Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models: ECSW FOR THE HYPER REDUCTION OF NONLINEAR FE DYNAMIC MODELS Farhat, Charbel; Chapman, Todd; Avery, Philip International Journal for Numerical Methods in Engineering, Vol. 102, Issue 5 https://doi.org/10.1002/nme.4820	journal	March 2015
Projection-based model reduction for contact problems: Projection-based model reduction for contact problems Balajewicz, Maciej; Amsallem, David; Farhat, Charbel International Journal for Numerical Methods in Engineering, Vol. 106, Issue 8 https://doi.org/10.1002/nme.5135	journal	November 2015
A multilevel projection-based model order reduction framework for nonlinear dynamic multiscale problems in structural and solid mechanics: MULTILEVEL MODEL ORDER REDUCTION FOR MULTISCALE PROBLEMS Zahr, Matthew J.; Avery, Philip; Farhat, Charbel International Journal for Numerical Methods in Engineering, Vol. 112, Issue 8 https://doi.org/10.1002/nme.5535	journal	May 2017
Global proper orthogonal decomposition for parametric model reduction of geometrically nonlinear structures Meyer, Christian H.; Rixen, Daniel PAMM, Vol. 19, Issue 1 https://doi.org/10.1002/pamm.201900436	journal	November 2019
Design optimization using hyper-reduced-order models Amsallem, David; Zahr, Matthew; Choi, Youngsoo Structural and Multidisciplinary Optimization, Vol. 51, Issue 4 https://doi.org/10.1007/s00158-014-1183-y	journal	November 2014
Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization Goury, Olivier; Amsallem, David; Bordas, Stéphane Pierre Alain Computational Mechanics, Vol. 58, Issue 2 https://doi.org/10.1007/s00466-016-1290-2	journal	April 2016
Fast local reduced basis updates for the efficient reduction of nonlinear systems with hyper-reduction Amsallem, David; Zahr, Matthew J.; Washabaugh, Kyle Advances in Computational Mathematics, Vol. 41, Issue 5 https://doi.org/10.1007/s10444-015-9409-0	journal	February 2015
Reduced Basis Approaches for Parametrized Bifurcation Problems held by Non-linear Von Kármán Equations Pichi, Federico; Rozza, Gianluigi Journal of Scientific Computing, Vol. 81, Issue 1 https://doi.org/10.1007/s10915-019-01003-3	journal	July 2019
Interpolation-based parametric model order reduction for material removal in elastic multibody systems Baumann, Michael; Eberhard, Peter Multibody System Dynamics, Vol. 39, Issue 1-2 https://doi.org/10.1007/s11044-016-9516-9	journal	March 2016
Comparative numerical analysis using reduced-order modeling strategies for nonlinear large-scale systems Dimitriu, Gabriel; Ştefănescu, Răzvan; Navon, Ionel M. Journal of Computational and Applied Mathematics, Vol. 310 https://doi.org/10.1016/j.cam.2016.07.002	journal	January 2017
Sample selection based on sensitivity analysis in parameterized model order reduction Soll, Tino; Pulch, Roland Journal of Computational and Applied Mathematics, Vol. 316 https://doi.org/10.1016/j.cam.2016.09.046	journal	May 2017
Bridging proper orthogonal decomposition methods and augmented Newton–Krylov algorithms: An adaptive model order reduction for highly nonlinear mechanical problems Kerfriden, P.; Gosselet, P.; Adhikari, S. Computer Methods in Applied Mechanics and Engineering, Vol. 200, Issue 5-8 https://doi.org/10.1016/j.cma.2010.10.009	journal	January 2011
A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics Kerfriden, P.; Goury, O.; Rabczuk, T. Computer Methods in Applied Mechanics and Engineering, Vol. 256 https://doi.org/10.1016/j.cma.2012.12.004	journal	April 2013
Dynamic data-driven reduced-order models Peherstorfer, Benjamin; Willcox, Karen Computer Methods in Applied Mechanics and Engineering, Vol. 291 https://doi.org/10.1016/j.cma.2015.03.018	journal	July 2015
POD–DEIM model order reduction for strain-softening viscoplasticity Ghavamian, F.; Tiso, P.; Simone, A. Computer Methods in Applied Mechanics and Engineering, Vol. 317 https://doi.org/10.1016/j.cma.2016.11.025	journal	April 2017
An interpolation-based parametric reduced order model combined with component mode synthesis Lee, Jaehun; Cho, Maenghyo Computer Methods in Applied Mechanics and Engineering, Vol. 319 https://doi.org/10.1016/j.cma.2017.02.010	journal	June 2017
An adaptive domain-based POD/ECM hyper-reduced modeling framework without offline training Rocha, I. B. C. M.; van der Meer, F. P.; Sluys, L. J. Computer Methods in Applied Mechanics and Engineering, Vol. 358 https://doi.org/10.1016/j.cma.2019.112650	journal	January 2020
Digital twin approach for damage-tolerant mission planning under uncertainty Karve, Pranav M.; Guo, Yulin; Kapusuzoglu, Berkcan Engineering Fracture Mechanics, Vol. 225 https://doi.org/10.1016/j.engfracmech.2019.106766	journal	February 2020
Efficient hyper reduced-order model (HROM) for parametric studies of the 3D thermo-elasto-plastic calculation Zhang, Yancheng; Combescure, Alain; Gravouil, Anthony Finite Elements in Analysis and Design, Vol. 102-103 https://doi.org/10.1016/j.finel.2015.04.009	journal	September 2015
The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows Carlberg, Kevin; Farhat, Charbel; Cortial, Julien Journal of Computational Physics, Vol. 242 https://doi.org/10.1016/j.jcp.2013.02.028	journal	June 2013
Reduction of nonlinear embedded boundary models for problems with evolving interfaces Balajewicz, Maciej; Farhat, Charbel Journal of Computational Physics, Vol. 274 https://doi.org/10.1016/j.jcp.2014.06.038	journal	October 2014
Efficient model reduction of parametrized systems by matrix discrete empirical interpolation Negri, Federico; Manzoni, Andrea; Amsallem, David Journal of Computational Physics, Vol. 303 https://doi.org/10.1016/j.jcp.2015.09.046	journal	December 2015
Real-time solution of linear computational problems using databases of parametric reduced-order models with arbitrary underlying meshes Amsallem, David; Tezaur, Radek; Farhat, Charbel Journal of Computational Physics, Vol. 326 https://doi.org/10.1016/j.jcp.2016.08.025	journal	December 2016
Non-intrusive reduced order modeling of nonlinear problems using neural networks Hesthaven, J. S.; Ubbiali, S. Journal of Computational Physics, Vol. 363 https://doi.org/10.1016/j.jcp.2018.02.037	journal	June 2018
A review of indirect/non-intrusive reduced order modeling of nonlinear geometric structures Mignolet, Marc P.; Przekop, Adam; Rizzi, Stephen A. Journal of Sound and Vibration, Vol. 332, Issue 10 https://doi.org/10.1016/j.jsv.2012.10.017	journal	May 2013
A comparison of model reduction techniques from structural dynamics, numerical mathematics and systems and control Besselink, B.; Tabak, U.; Lutowska, A. Journal of Sound and Vibration, Vol. 332, Issue 19 https://doi.org/10.1016/j.jsv.2013.03.025	journal	September 2013
Adaptive parametric model order reduction technique for optimization of vibro-acoustic models: Application to hearing aid design Creixell-Mediante, Ester; Jensen, Jakob S.; Naets, Frank Journal of Sound and Vibration, Vol. 424 https://doi.org/10.1016/j.jsv.2018.03.013	journal	June 2018
Sparse nonnegative matrix factorization with ℓ0-constraints Peharz, Robert; Pernkopf, Franz Neurocomputing, Vol. 80 https://doi.org/10.1016/j.neucom.2011.09.024	journal	March 2012
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods Hesthaven, Jan S.; Stamm, Benjamin; Zhang, Shun ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 48, Issue 1 https://doi.org/10.1051/m2an/2013100	journal	January 2014
Nonlinear Model Reduction via Discrete Empirical Interpolation Chaturantabut, Saifon; Sorensen, Danny C. SIAM Journal on Scientific Computing, Vol. 32, Issue 5 https://doi.org/10.1137/090766498	journal	January 2010
Model Reduction and Approximation Benner, Peter; Ohlberger, Mario; Cohen, Albert https://doi.org/10.1137/1.9781611974829	journal	January 2017
An Online Method for Interpolating Linear Parametric Reduced-Order Models Amsallem, David; Farhat, Charbel SIAM Journal on Scientific Computing, Vol. 33, Issue 5 https://doi.org/10.1137/100813051	journal	January 2011
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems Benner, Peter; Gugercin, Serkan; Willcox, Karen SIAM Review, Vol. 57, Issue 4 https://doi.org/10.1137/130932715	journal	January 2015
Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates Peherstorfer, Benjamin; Willcox, Karen SIAM Journal on Scientific Computing, Vol. 37, Issue 4 https://doi.org/10.1137/140989169	journal	January 2015
An Efficient, Globally Convergent Method for Optimization Under Uncertainty Using Adaptive Model Reduction and Sparse Grids Zahr, Matthew J.; Carlberg, Kevin T.; Kouri, Drew P. SIAM/ASA Journal on Uncertainty Quantification, Vol. 7, Issue 3 https://doi.org/10.1137/18M1220996	journal	January 2019
Metamodeling of nonlinear structural systems with parametric uncertainty subject to stochastic dynamic excitation Spiridonakos, Minas D.; Chatzia, Eleni N. Earthquakes and Structures, Vol. 8, Issue 4 https://doi.org/10.12989/eas.2015.8.4.915	journal	April 2015

Similar Records

Parametric Model Order Reduction for Localized Nonlinear Feature Inclusion.

Conference · Sun Nov 01 00:00:00 EDT 2020 · OSTI ID:1829953

Comparison of Reduced-Basis techniques for the model order reduction of parametric incompressible fluid flows

Journal Article · Mon Nov 30 23:00:00 EST 2020 · Progress in Nuclear Energy · OSTI ID:1776404

A local basis approximation approach for nonlinear parametric model order reduction

Citation Formats

References (43)

Similar Records

Related Subjects