Error modeling for surrogates of dynamical systems using machine learning
DOI10.1002/nme.5583MaRDI QIDQ6557511
Sumeet Trehan, Louis J. Durlofsky, Kevin T. Carlberg
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
nonlinear dynamical systembottom-hole pressure controlreduced-order nonlinear oil-water flow modeltime-dependent surrogate-model errortraining parameter set
Learning and adaptive systems in artificial intelligence (68T05) Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Basic methods in fluid mechanics (76M99)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Enhanced linearized reduced-order models for subsurface flow simulation
- Regularized kernel PCA for the efficient parameterization of complex geological models
- A new differentiable parameterization based on principal component analysis for the low-dimensional representation of complex geological models
- Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations. Application to transport and continuum mechanics.
- Adjoint error estimation and grid adaptation for functional outputs: Application to quasi-one-dimensional flow
- Grid adaptation for functional outputs: application to two-dimensional inviscid flows
- A novel evolutionary algorithm applied to algebraic modifications of the RANS stress-strain relationship
- Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction
- Global-local nonlinear model reduction for flows in heterogeneous porous media
- Linearized reduced-order models for subsurface flow simulation
- Bayesian Calibration of Computer Models
- A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
- A prioriconvergence of the Greedy algorithm for the parametrized reduced basis method
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation
- The ROMES Method for Statistical Modeling of Reduced-Order-Model Error
- Adaptiveh-refinement for reduced-order models
- Constraint reduction procedures for reduced-order subsurface flow models based on POD-TPWL
- The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
- Multi-fidelity optimization via surrogate modelling
- A New Look at Proper Orthogonal Decomposition
- 10.1162/153244303322753616
- An Introduction to Statistical Learning
- Assessment of Uncertainty in Reservoir Production Forecasts Using Upscaled Flow Models
- A posteriorierror bounds for reduced-basis approximations of parametrized parabolic partial differential equations
- Reynolds averaged turbulence modelling using deep neural networks with embedded invariance
- Application of POD and DEIM on dimension reduction of non-linear miscible viscous fingering in porous media
- Localized Discrete Empirical Interpolation Method
- Approximation of Large-Scale Dynamical Systems
- Accurate Solution of Bayesian Inverse Uncertainty Quantification Problems Combining Reduced Basis Methods and Reduction Error Models
- Random forests
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