Accelerating Optimization of Parametric Linear Systems by Model Order Reduction
From MaRDI portal
Publication:2848197
DOI10.1137/120869171zbMath1273.35279OpenAlexW2010160985MaRDI QIDQ2848197
Publication date: 25 September 2013
Published in: SIAM Journal on Optimization (Search for Journal in Brave)
Full work available at URL: https://lirias.kuleuven.be/handle/123456789/629722
design optimizationKrylov methodspenalty methodsmodel order reductionsurrogate modelstrust region methodsvibrations and structures
Approximation methods and heuristics in mathematical programming (90C59) Iterative numerical methods for linear systems (65F10) Numerical methods of relaxation type (49M20) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) PDEs in connection with control and optimization (35Q93)
Related Items
Gradient-based constrained optimization using a database of linear reduced-order models, Fast Algorithms for Hyperspectral Diffuse Optical Tomography, Reduced Order Model Hessian Approximations in Newton Methods for Optimal Control, A fast, certified and ``tuning free two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems, A multi-fidelity ensemble Kalman filter with hyperreduced reduced-order models, POD/DEIM reduced-order strategies for efficient four dimensional variational data assimilation, Component-level proper orthogonal decomposition for flexible multibody systems, Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization, Progressive construction of a parametric reduced‐order model for PDE‐constrained optimization, An adaptive and efficient greedy procedure for the optimal training of parametric reduced-order models, A relaxed localized trust-region reduced basis approach for optimization of multiscale problems, A globally convergent method to accelerate large-scale optimization using on-the-fly model hyperreduction: application to shape optimization, A Certified Trust Region Reduced Basis Approach to PDE-Constrained Optimization, A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization, Data-driven model order reduction for problems with parameter-dependent jump-discontinuities, Damping optimization of parameter dependent mechanical systems by rational interpolation, Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography, A globally convergent method to accelerate topology optimization using on-the-fly model reduction, A certified RB method for PDE-constrained parametric optimization problems, Sampling-free model reduction of systems with low-rank parameterization, A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems, Finite element model updating for structural applications, Efficient acoustic topology optimization with the multifrequency quasi-static Ritz vector (MQSRV) method, Adaptive machine learning-based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery, Nonlinear Parametric Inversion Using Interpolatory Model Reduction, Model reduction of convection-dominated partial differential equations via optimization-based implicit feature tracking
Uses Software