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Model reduction of parametrized systems

Author: Peter Benner; Mario Ohlberger; Anthony Patera; Gianluigi Rozza; Karsten Urban
Publisher: Cham Springer [2017] ©2017
Series: MS & A - Modeling, Simulation and Applications, Vol. 17
Edition/Format:   Print book : EnglishView all editions and formats

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Document Type: Book
All Authors / Contributors: Peter Benner; Mario Ohlberger; Anthony Patera; Gianluigi Rozza; Karsten Urban
ISBN: 3319587854 9783319587851
OCLC Number: 1007271968
Description: xii, 504 Seiten.
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
Series Title: MS & A - Modeling, Simulation and Applications, Vol. 17
Responsibility: Peter Benner, Mario Ohlberger, Anthony Patera, Gianluigi Rozza, Karsten Urban.


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