Model reduction for large-scale systems

DOI10.1007/978-3-030-97549-4_2zbMath1493.65209arXiv2105.01433OpenAlexW3157030640MaRDI QIDQ2128424

Mario Ohlberger, Tim Keil

Publication date: 22 April 2022

Full work available at URL: https://arxiv.org/abs/2105.01433

zbMATH Keywords

reduced basis methodtrust region methodPDE constraint optimization

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDE constrained optimization (numerical aspects) (49M41)

Related Items (3)

Optimization problems for PDEs in weak space-time form. Abstracts from the workshop held March 5--10, 2023 ⋮ 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

Uses Software

• MULTIBAT

Cites Work

• Localized model reduction in PDE constrained optimization
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• Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation
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• Error Control for the Localized Reduced Basis Multiscale Method with Adaptive On-Line Enrichment
• 6 Localized model reduction for parameterized problems
• A non-conforming dual approach for adaptive Trust-Region reduced basis approximation of PDE-constrained parameter optimization
• Non-conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE Constrained Optimization
• A Certified Trust Region Reduced Basis Approach to PDE-Constrained Optimization
• Reduced basis method for finite volume approximations of parametrized linear evolution equations

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