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Home > Model Reduction of Parametrized Systems > Adaptive Sampling for Nonlinear Dimensionality Reduction Based on Manifold Learning
Model Reduction of Parametrized Systems |
Peter Benner; Mario Ohlberger; Anthony Patera; Gianluigi Rozza; Karsten Urban
Springer International Publishing
Model Reduction of Parametrized Systems
Adaptive Sampling for Nonlinear Dimensionality Reduction Based on Manifold Learning
Authors

Thomas Franz; Ralf Zimmermann; Stefan Görtz

ARI Id

1664439323373_1688696

Access

Not Available Free

Pages

255-269

DOI

10.1007/978-3-319-58786-8_16

Chapter URL

https://rd.springer.com/chapter/10.1007/978-3-319-58786-8_16

Table of Contents of Book
Showing 1 to 20 of 31 entries
Chapters/HeadingsAuthor(s)PagesInfo
Front Matter
i-xii
Two Ways to Treat Time in Reduced Basis Methods
Silke Glas; Antonia Mayerhofer; Karsten Urban
1-16
Simultaneous Empirical Interpolation and Reduced Basis Method: Application to Non-linear Multi-Physics Problem
Cécile Daversin; Christophe Prud’homme
17-35
A Certified Reduced Basis Approach for Parametrized Optimal Control Problems with Two-Sided Control Constraints
Eduard Bader; Martin A. Grepl; Karen Veroy
37-54
A Reduced Basis Method with an Exact Solution Certificate and Spatio-Parameter Adaptivity: Application to Linear Elasticity
Masayuki Yano
55-76
A Reduced Basis Method for Parameter Functions Using Wavelet Approximations
Antonia Mayerhofer; Karsten Urban
77-90
Reduced Basis Isogeometric Mortar Approximations for Eigenvalue Problems in Vibroacoustics
Thomas Horger; Barbara Wohlmuth; Linus Wunderlich
91-106
Reduced Basis Approximations for Maxwell’s Equations in Dispersive Media
Peter Benner; Martin Hess
107-119
Offline Error Bounds for the Reduced Basis Method
Robert O’Connor; Martin Grepl
121-136
ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics
Andreas Buhr; Christian Engwer; Mario Ohlberger; Stephan Rave
137-148
Reduced-Order Semi-Implicit Schemes for Fluid-Structure Interaction Problems
Francesco Ballarin; Gianluigi Rozza; Yvon Maday
149-167
True Error Control for the Localized Reduced Basis Method for Parabolic Problems
Mario Ohlberger; Stephan Rave; Felix Schindler
169-182
Efficient Reduction of PDEs Defined on Domains with Variable Shape
Andrea Manzoni; Federico Negri
183-199
Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry
Mario Ohlberger; Stephan Rave
201-212
A-Posteriori Error Estimation of Discrete POD Models for PDE-Constrained Optimal Control
Martin Gubisch; Ira Neitzel; Stefan Volkwein
213-234
Hi-POD Solution of Parametrized Fluid Dynamics Problems: Preliminary Results
Davide Baroli; Cristina Maria Cova; Simona Perotto; Lorenzo Sala; Alessandro Veneziani
235-254
Adaptive Sampling for Nonlinear Dimensionality Reduction Based on Manifold Learning
Thomas Franz; Ralf Zimmermann; Stefan Görtz
255-269
Cross-Gramian-Based Model Reduction: A Comparison
Christian Himpe; Mario Ohlberger
271-283
Truncated Gramians for Bilinear Systems and Their Advantages in Model Order Reduction
Peter Benner; Pawan Goyal; Martin Redmann
285-300
Leveraging Sparsity and Compressive Sensing for Reduced Order Modeling
J. Nathan Kutz; Syuzanna Sargsyan; Steven L. Brunton
301-315
Chapters/HeadingsAuthor(s)PagesInfo
Showing 1 to 20 of 31 entries
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