Nonlinear model reduction via a locally weighted POD method
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Publication:2952890
DOI10.1002/nme.5124zbMath1352.65535OpenAlexW2108708063MaRDI QIDQ2952890
Publication date: 30 December 2016
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.5124
Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite difference methods for boundary value problems involving PDEs (65N06)
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Cites Work
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- The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
- Reduced-order fluid/structure modeling of a complete aircraft configuration
- Model reduction for compressible flows using POD and Galerkin projection
- POD and CVT-based reduced-order modeling of Navier-Stokes flows
- Model order reduction for nonlinear dynamical systems based on trajectory piecewise-linear approximations
- Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition
- Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
- A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems
- Parameter multi-domain ‘hp ’ empirical interpolation
- Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation
- Review and assessment of interpolatory model order reduction methods for frequency response structural dynamics and acoustics problems
- An Online Manifold Learning Approach for Model Reduction of Dynamical Systems
- Nonlinear model order reduction based on local reduced-order bases
- An adaptive scheme for a class of interpolatory model reduction methods for frequency response problems
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- An Online Method for Interpolating Linear Parametric Reduced-Order Models
- Symplectic Model Reduction of Hamiltonian Systems
- Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations
- Optimal rotary control of the cylinder wake using proper orthogonal decomposition reduced-order model
- Fast frequency sweep computations using a multi-point Padé-based reconstruction method and an efficient iterative solver
- A method for interpolating on manifolds structural dynamics reduced-order models
- Estimation of the Error in the Reduced Basis Method Solution of Nonlinear Equations
- Principal component analysis in linear systems: Controllability, observability, and model reduction
- A New Look at Proper Orthogonal Decomposition
- Evaluation of Proper Orthogonal Decomposition--Based Decomposition Techniques Applied to Parameter-Dependent Nonturbulent Flows
- Dynamic Iteration Using Reduced Order Models: A Method for Simulation of Large Scale Modular Systems
- Enhanced Proper Orthogonal Decomposition for the Modal Analysis of Homogeneous Structures
- Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics
- Laplacian Eigenmaps for Dimensionality Reduction and Data Representation
- Missing Point Estimation in Models Described by Proper Orthogonal Decomposition
- An "$hp$" Certified Reduced Basis Method for Parametrized Elliptic Partial Differential Equations
- Turbulence, Coherent Structures, Dynamical Systems and Symmetry
- Locally Adaptive Greedy Approximations for Anisotropic Parameter Reduced Basis Spaces
- A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space
- Localized Discrete Empirical Interpolation Method