Preserving general physical properties in model reduction of dynamical systems via constrained-optimization projection
From MaRDI portal
Publication:6555513
DOI10.1002/nme.6667zbMATH Open1548.90465MaRDI QIDQ6555513
Alexander Schein, Matthew J. Zahr, Kevin T. Carlberg
Publication date: 14 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
constrained optimizationGalerkin projectionleast-squares Petrov-Galerkin projectionprojection-based model reduction
Applications of mathematical programming (90C90) Numerical optimization and variational techniques (65K10) Sensitivity, stability, parametric optimization (90C31)
Cites Work
- Implicit shock tracking using an optimization-based high-order discontinuous Galerkin method
- Structure preserving model reduction of port-Hamiltonian systems by moment matching at infinity
- Structure-preserving model reduction for mechanical systems
- Galerkin v. least-squares Petrov-Galerkin projection in nonlinear model reduction
- Energy balance and mass conservation in reduced-order models of fluid flows
- Model reduction for compressible flows using POD and Galerkin projection
- Non-linearly stable reduced-order models for incompressible flow with energy-conserving finite volume methods
- Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders
- Mass conservative reduced order modeling of a free boundary osmotic cell swelling problem
- Constrained reduced-order models based on proper orthogonal decomposition
- Certified reduced basis approximation for parametrized partial differential equations and applications
- A stabilized POD model for turbulent flows over a range of Reynolds numbers: optimal parameter sampling and constrained projection
- Conservative model reduction for finite-volume models
- Dimensional reduction of nonlinear finite element dynamic models with finite rotations and energy-based mesh sampling and weighting for computational efficiency
- Structure-preserving, stability, and accuracy properties of the energy-conserving sampling and weighting method for the hyper reduction of nonlinear finite element dynamic models
- Projection‐based model reduction for contact problems
- Nonlinear Model Reduction via Discrete Empirical Interpolation
- Symplectic Model Reduction of Hamiltonian Systems
- A New Look at Proper Orthogonal Decomposition
- Structure Preserving Model Reduction of Parametric Hamiltonian Systems
- Conservative Model Order Reduction for Fluid Flow
- Low-dimensional modelling of high-Reynolds-number shear flows incorporating constraints from the Navier–Stokes equation
- Constrained sparse Galerkin regression
- Preserving Lagrangian Structure in Nonlinear Model Reduction with Application to Structural Dynamics
This page was built for publication: Preserving general physical properties in model reduction of dynamical systems via constrained-optimization projection