Skip to main content
OSTI.GOVU.S. Department of Energy Office of Scientific and Technical Information
U.S. Department of Energy
Office of Scientific and Technical Information
 

Reduced Operator Inference for Nonlinear Partial Differential Equations

Journal Article · · SIAM Journal on Scientific Computing
DOI:https://doi.org/10.1137/21m1393972· OSTI ID:1980769
; ;

Not provided.

Research Organization:
Univ. of Texas, Austin, TX (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
DOE Contract Number:
SC0019303
OSTI ID:
1980769
Journal Information:
SIAM Journal on Scientific Computing, Vol. 44, Issue 4; ISSN 1064-8275
Publisher:
Society for Industrial and Applied Mathematics (SIAM)
Country of Publication:
United States
Language:
English

References (43)

Missing Point Estimation in Models Described by Proper Orthogonal Decomposition journal November 2008
Nonintrusive reduced-order modeling of parametrized time-dependent partial differential equations journal February 2013
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
An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations journal November 2004
Two-Sided Projection Methods for Nonlinear Model Order Reduction journal January 2015
A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems journal January 2015
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows journal January 1993
The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows journal June 2013
Data-driven discovery of coordinates and governing equations journal October 2019
Nonlinear Model Reduction via Discrete Empirical Interpolation journal January 2010
A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions journal January 2016
Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations journal May 2007
A posteriori error bounds for reduced-basis approximations of parametrized parabolic partial differential equations journal January 2005
QLMOR: A Projection-Based Nonlinear Model Order Reduction Approach Using Quadratic-Linear Representation of Nonlinear Systems journal September 2011
Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition journal March 2011
Coupling between hydrodynamics, acoustics, and heat release in a self-excited unstable combustor journal April 2015
Certified Reduced Basis Methods for Parametrized Partial Differential Equations book January 2016
Investigations and Improvement of Robustness of Reduced-Order Models of Reacting Flow journal December 2019
Prediction of extinction and reignition in nonpremixed turbulent flames using a flamelet/progress variable model journal October 2008
Dynamical Systems of Continuous Spectra journal March 1932
Nonlinear Model Order Reduction via Lifting Transformations and Proper Orthogonal Decomposition journal June 2019
Dynamic Mode Decomposition book January 2016
Extended dynamic mode decomposition with dictionary learning: A data-driven adaptive spectral decomposition of the Koopman operator journal October 2017
Constrained sparse Galerkin regression journal January 2018
Learning nonlinear operators via DeepONet based on the universal approximation theorem of operators journal March 2021
Data to decisions: Real-time structural assessment from sparse measurements affected by uncertainty journal April 2017
Data-driven reduced-order models via regularised Operator Inference for a single-injector combustion process journal January 2021
Spectral Properties of Dynamical Systems, Model Reduction and Decompositions journal August 2005
Analysis of Fluid Flows via Spectral Properties of the Koopman Operator journal January 2013
The Random Feature Model for Input-Output Maps between Banach Spaces journal January 2021
A ‘best points’ interpolation method for efficient approximation of parametrized functions journal January 2008
Sampling Low-Dimensional Markovian Dynamics for Preasymptotically Recovering Reduced Models from Data with Operator Inference journal January 2020
Data-driven operator inference for nonintrusive projection-based model reduction journal July 2016
Transform & Learn: A data-driven approach to nonlinear model reduction conference June 2019
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
Dynamic mode decomposition of numerical and experimental data journal July 2010
Turbulence and the dynamics of coherent structures. I. Coherent structures journal January 1987
Learning Physics-Based Reduced-Order Models for a Single-Injector Combustion Process journal June 2020
Projection-based model reduction: Formulations for physics-based machine learning journal January 2019
Certified real-time solution of the parametrized steady incompressible Navier-Stokes equations: rigorous reduced-basisa posteriori error bounds journal January 2005
A PosterioriError Estimation for Reduced-Basis Approximation of Parametrized Elliptic Coercive Partial Differential Equations: “Convex Inverse” Bound Conditioners journal January 2002
Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem journal May 2019
A Data–Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition journal June 2015

Similar Records

Related Subjects

Mathematics