

Peter Benner is Director of the Max Planck Institute for Dynamics of Complex Technical Systems and head of the department “Computational Methods in Systems and Control Theory”.
Meer over de auteursModel Reduction of Parametrized Systems
Samenvatting
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 high-dimensional problems, system-theoretic methods, nonlinear model reduction, reduction of coupled problems/multiphysics, optimization and optimal control, state estimation and control, reduced order models and domain decomposition methods, Krylov-subspace and interpolatory methods, and applications to real industrial and complex problems.
The book represents the state of the art in the development of reduced order methods. It contains contributions from internationally respected experts, guaranteeing a wide range of expertise and topics. Further, it reflects an important effort, carried out over the last 12 years, to build a growing research community in this field.
Though not a textbook, some of the chapters can be used as reference materials or lecture notes for classes and tutorials (doctoral schools, master classes).
Trefwoorden
model reduction parameterized systems reduced basis methods numerieke analyse proper orthogonal decomposition computational science partiële differentiaalvergelijkingen fluid dynamics error estimation optimale controle multiphysics scientific computing krylov-subspace methods engineering niet-lineaire systemen finite element method interpolation methods uncertainty quantification elektromagnetisme elasticity domain decomposition manifold learning gramian matrices real-time computing
Trefwoorden
Specificaties
Over Mario Ohlberger
Over Anthony Patera
Over Gianluigi Rozza
Over Karsten Urban
Inhoudsopgave
U kunt van deze inhoudsopgave een PDF downloaden
-Glas, Silke (et al.) Pages 1-16
Simultaneous Empirical Interpolation and Reduced Basis Method:
Application to Non-linear Multi-Physics Problem
-Daversin, Cécile (et al.) Pages 17-35
A Certified Reduced Basis Approach for Parametrized Optimal Control
Problems with Two-Sided Control Constraints
-Bader, Eduard (et al.) Pages 37-54
A Reduced Basis Method with an Exact Solution Certificate and
Spatio-Parameter Adaptivity: Application to Linear Elasticity
-Yano, Masayuki Pages 55-76
A Reduced Basis Method for Parameter Functions Using Wavelet
Approximations
-Mayerhofer, Antonia (et al.)Pages 77-90
Reduced Basis Isogeometric Mortar Approximations for Eigenvalue
Problems in Vibroacoustics
-Horger, Thomas (et al.) Pages 91-106
Reduced Basis Approximations for Maxwell’s Equations in Dispersive
Media
-Benner, Peter (et al.) Pages 107-119
Offline Error Bounds for the Reduced Basis Method
-O’Connor, Robert (et al.) Pages 121-136
ArbiLoMod: Local Solution Spaces by Random Training in
Electrodynamics
-Buhr, Andreas (et al.) Pages 137-148
Reduced-Order Semi-Implicit Schemes for Fluid-Structure Interaction
Problems
-Ballarin, Francesco (et al.) Pages 149-167
True Error Control for the Localized Reduced Basis Method for
Parabolic Problems
-Ohlberger, Mario (et al.) Pages 169-182
Efficient Reduction of PDEs Defined on Domains with Variable Shape
-Manzoni, Andrea (et al.) Pages 183-199
Localized Reduced Basis Approximation of a Nonlinear Finite Volume
Battery Model with Resolved Electrode Geometry
-Ohlberger, Mario (et al.) Pages 201-212
A-Posteriori Error Estimation of Discrete POD Models for PDEConstrained
Optimal Control
-Gubisch, Martin (et al.) Pages 213-234
Hi-POD Solution of Parametrized Fluid Dynamics Problems: Preliminary
Results
-Baroli, Davide (et al.) Pages 235-254
Adaptive Sampling for Nonlinear Dimensionality Reduction Based on
Manifold Learning
-Franz, Thomas (et al.) Pages 255-269
Cross-Gramian-Based Model Reduction: A Comparison
-Himpe, Christian (et al.) Pages 271-283
Truncated Gramians for Bilinear Systems and Their Advantages in
Model Order Reduction
-Benner, Peter (et al.) Pages 285-300
Leveraging Sparsity and Compressive Sensing for Reduced Order
Modeling
-Kutz, J. Nathan (et al.) Pages 301-315
A HJB-POD Approach to the Control of the Level Set Equation
-Alla, Alessandro (et al.) Pages 317-331
Model Order Reduction Approaches for Infinite Horizon Optimal
Control Problems via the HJB Equation
-Alla, Alessandro (et al.) Pages 333-347
Interpolatory Methods for H∞ Model Reduction of Multi-Input/MultiOutput
Systems
-Castagnotto, Alessandro (et al.) Pages 349-365
Model Reduction of Linear Time-Varying Systems with Applications for
Moving Loads
-Cruz Varona, M. (et al.) Pages 367-386
Interpolation Strategy for BT-Based Parametric MOR of Gas PipelineNetworks
-Lu, Y. (et al.) Pages 387-401
Energy Stable Model Order Reduction for the Allen-Cahn Equation
-Uzunca, Murat (et al.) Pages 403-419
MOR-Based Uncertainty Quantification in Transcranial Magnetic
Stimulation
-Codecasa, Lorenzo (et al.) Pages 421-437
Model Order Reduction of Nonlinear Eddy Current Problems Using
Missing Point Estimation
-Paquay, Y. (et al.) Pages 439-454
On Efficient Approaches for Solving a Cake Filtration Model Under
Parameter Variation
-Osterroth, S. (et al.) Pages 455-470
Model Reduction for Coupled Near-Well and Reservoir Models Using
Multiple Space-Time Discretizations
-Kheriji, Walid (et al.) Pages 471-490
Time-Dependent Parametric Model Order Reduction for Material Removal
Simulations
-Baumann, Michael (et al.) Pages 491-504