Model reduction of parametrized systems

Front Matter ....Pages i-xii
 Two Ways to Treat Time in Reduced Basis Methods  (Silke Glas, Antonia Mayerhofer, Karsten Urban)....Pages 1-16
 Simultaneous Empirical Interpolation and Reduced Basis Method: Application to Non-linear Multi-Physics Problem  (Cécile Daversin, Christophe Prud’homme)....Pages 17-35
 A Certified Reduced Basis Approach for Parametrized Optimal Control Problems with Two-Sided Control Constraints  (Eduard Bader, Martin A. Grepl, Karen Veroy)....Pages 37-54
 A Reduced Basis Method with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Application to Linear Elasticity  (Masayuki Yano)....Pages 55-76
 A Reduced Basis Method for Parameter Functions Using Wavelet Approximations  (Antonia Mayerhofer, Karsten Urban)....Pages 77-90
 Reduced Basis Isogeometric Mortar Approximations for Eigenvalue Problems in Vibroacoustics  (Thomas Horger, Barbara Wohlmuth, Linus Wunderlich)....Pages 91-106
 Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media  (Peter Benner, Martin Hess)....Pages 107-119
 Offline Error Bounds for the Reduced Basis Method  (Robert O’Connor, Martin Grepl)....Pages 121-136
 ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics  (Andreas Buhr, Christian Engwer, Mario Ohlberger, Stephan Rave)....Pages 137-148
 Reduced-Order Semi-Implicit Schemes for Fluid-Structure Interaction Problems  (Francesco Ballarin, Gianluigi Rozza, Yvon Maday)....Pages 149-167
 True Error Control for the Localized Reduced Basis Method for Parabolic Problems  (Mario Ohlberger, Stephan Rave, Felix Schindler)....Pages 169-182
 Efficient Reduction of PDEs Defined on Domains with Variable Shape  (Andrea Manzoni, Federico Negri)....Pages 183-199
 Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry  (Mario Ohlberger, Stephan Rave)....Pages 201-212
 A-Posteriori Error Estimation of Discrete POD Models for PDE-Constrained Optimal Control  (Martin Gubisch, Ira Neitzel, Stefan Volkwein)....Pages 213-234
 Hi-POD Solution of Parametrized Fluid Dynamics Problems: Preliminary Results  (Davide Baroli, Cristina Maria Cova, Simona Perotto, Lorenzo Sala, Alessandro Veneziani)....Pages 235-254
 Adaptive Sampling for Nonlinear Dimensionality Reduction Based on Manifold Learning  (Thomas Franz, Ralf Zimmermann, Stefan Görtz)....Pages 255-269
 Cross-Gramian-Based Model Reduction: A Comparison  (Christian Himpe, Mario Ohlberger)....Pages 271-283
 Truncated Gramians for Bilinear Systems and Their Advantages in Model Order Reduction  (Peter Benner, Pawan Goyal, Martin Redmann)....Pages 285-300
 Leveraging Sparsity and Compressive Sensing for Reduced Order Modeling  (J. Nathan Kutz, Syuzanna Sargsyan, Steven L. Brunton)....Pages 301-315
 A HJB-POD Approach to the Control of the Level Set Equation  (Alessandro Alla, Giulia Fabrini, Maurizio Falcone)....Pages 317-331
 Model Order Reduction Approaches for Infinite Horizon Optimal Control Problems via the HJB Equation  (Alessandro Alla, Andreas Schmidt, Bernard Haasdonk)....Pages 333-347
 Interpolatory Methods for \\(\\mathcal{H}_{\\infty }\\) Model Reduction of Multi-Input/Multi-Output Systems  (Alessandro Castagnotto, Christopher Beattie, Serkan Gugercin)....Pages 349-365
 Model Reduction of Linear Time-Varying Systems with Applications for Moving Loads  (M. Cruz Varona, B. Lohmann)....Pages 367-386
 Interpolation Strategy for BT-Based Parametric MOR of Gas Pipeline-Networks  (Y. Lu, N. Marheineke, J. Mohring)....Pages 387-401
 Energy Stable Model Order Reduction for the Allen-Cahn Equation  (Murat Uzunca, Bülent Karasözen)....Pages 403-419
 MOR-Based Uncertainty Quantification in Transcranial Magnetic Stimulation  (Lorenzo Codecasa, Konstantin Weise, Luca Di Rienzo, Jens Haueisen)....Pages 421-437
 Model Order Reduction of Nonlinear Eddy Current Problems Using Missing Point Estimation  (Y. Paquay, O. Brüls, C. Geuzaine)....Pages 439-454
 On Efficient Approaches for Solving a Cake Filtration Model Under Parameter Variation  (S. Osterroth, O. Iliev, R. Pinnau)....Pages 455-470
 Model Reduction for Coupled Near-Well and Reservoir Models Using Multiple Space-Time Discretizations  (Walid Kheriji, Yalchin Efendiev, Victor Manuel Calo, Eduardo Gildin)....Pages 471-490
 Time-Dependent Parametric Model Order Reduction for Material Removal Simulations  (Michael Baumann, Dominik Hamann, Peter Eberhard)....Pages 491-504