An Adaptive Way of Choosing Significant Snapshots for Proper Orthogonal Decomposition

DOI10.1007/978-3-030-21013-7_5zbMath1425.74471OpenAlexW2964016518MaRDI QIDQ4973304

Stefanie Reese, Steffen Kastian

Publication date: 3 December 2019

Published in: IUTAM Symposium on Model Order Reduction of Coupled Systems, Stuttgart, Germany, May 22–25, 2018 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-21013-7_5

zbMATH Keywords

proper orthogonal decompositionadaptivitymodel order reduction

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Finite element methods applied to problems in solid mechanics (74S05) Optimization of other properties in solid mechanics (74P10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (1)

A two-stage surrogate model for neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation

Cites Work

• An effective computational tool for parametric studies and identification problems in materials mechanics
• Model reduction in elastoplasticity: proper orthogonal decomposition combined with adaptive sub-structuring
• POD a-posteriori error estimates for linear-quadratic optimal control problems
• Eigenvalue decay bounds for solutions of Lyapunov equations: the symmetric case
• On the decay rate of Hankel singular values and related issues
• Open-loop control of cavity noise using proper orthogonal decomposition reduced-order model
• The method of proper orthogonal decomposition for dynamical characterization and order reduction of mechanical systems: an overview
• A State Space Error Estimate for POD-DEIM Nonlinear Model Reduction
• Nonlinear model order reduction based on local reduced-order bases
• POD-based model reduction with empirical interpolation applied to nonlinear elasticity
• Efficient reduced models anda posteriorierror estimation for parametrized dynamical systems by offline/online decomposition
• POD-Galerkin approximations in PDE-constrained optimization
• Optimal snapshot location for computing POD basis functions
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry
• The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena
• Convergence Rates of the POD–Greedy Method
• Comparison of the reduced-basis and PODa posteriorierror estimators for an elliptic linear-quadratic optimal control problem
• Anhpcertified reduced basis method for parametrized parabolic partial differential equations
• A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space
• Proper orthogonal decomposition for optimality systems

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