Model Reduction of Parametrized Systems

• Corporate Author: SpringerLink (Online service)
• Other Authors: Benner, Peter (Editor), Ohlberger, Mario (Editor), Patera, Anthony (Editor), Rozza, Gianluigi (Editor), Urban, Karsten (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: MS&A, Modeling, Simulation and Applications, 17
• Subjects: Mathematics.; Numerical analysis.; Partial differential equations.; Computer mathematics.; Continuum mechanics.; Computational Mathematics and Numerical Analysis.; Numeric Computing.; Mathematical and Computational Engineering.; Continuum Mechanics and Mechanics of Materials.; Partial Differential Equations.

The special volume offers a global guide to new concepts and approaches concerning the following topics: reduced basis methods, proper orthogonal decomposition, proper generalized decomposition, approximation theory related to model reduction, learning theory and compressed sensing, stochastic and h...

Table of Contents:

• 1 Two ways to treat time in Reduced Basis Methods
• 2 Simultaneous empirical interpolation and reduced basis method. Application to non-linear multi-physics problem
• 3 A Certified Reduced Basis Approach for Parametrized Optimal Control Problems with Two-sided Control Constraints
• 4 A reduced basis method with an exact solution certificate and spatio-parameter adaptivity: application to linear elasticity
• 5 A Reduced Basis Method for Parameter Functions using Wavelet Approximations
• 6 Reduced basis isogeometric mortar approximations for eigenvalue problems in vibroacoustics
• 7 Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media
• 8 Offline Error Bounds for the Reduced Basis Method
• 9 ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics
• 10 Reduced-order semi-implicit schemes for  fluid-structure interaction problems
• 11 True Error Control for the Localized Reduced Basis Method for Parabolic Problems
• 12 Automatic reduction of PDEs defined on domains with variable shape
• 13 Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry
• 14 A-posteriori error estimation of discrete POD models for PDE-constrained optimal control
• 15 Hi-POD solution of parametrized fluid dynamics problems: preliminary results
• 16 Adaptive sampling for nonlinear dimensionality reduction based on manifold learning
• 17 Cross-Gramian-Based Model Reduction: A Comparison
• 18 Truncated Gramians for Bilinear Systems and their Advantages in Model Order Reduction
• 19 Leveraging Sparsity and Compressive Sensing for Reduced Order Modeling
• 20 A HJB-POD approach to the control of the level set equation
• 21 Model order reduction approaches for infinite horizon optimal control problems via the HJB equation
• 22 Interpolatory methods for H model reduction of multi-input/multi-output systems
• 23 Model reduction of linear time-varying systems with applications for moving loads
• 24 Interpolation Strategy for BT-based Parametric MOR of Gas Pipeline-Networks
• 25 Energy stable model order reduction for the  Allen-Cahn equation
• 26 MOR-based Uncertainty Quantification in Transcranial Magnetic Stimulation
• 27 Model Order Reduction of Nonlinear Eddy Current Problems using Missing Point Estimation
• 28 On Efficient Approaches for Solving a Cake Filtration Model under Parameter Variation
• 29 Model reduction for coupled near-well and reservoir models using multiple space-time discretizations
• 30 Time-dependent Parametric Model Order Reduction for Material Removal Simulations   .