Optimization and Control for Partial Differential Equations: Uncertainty quantification, open and closed-loop control, and shape optimization

Published by De Gruyter 2022

Optimization and Control for Partial Differential Equations

Uncertainty quantification, open and closed-loop control, and shape optimization

Edited by: Roland Herzog , Matthias Heinkenschloss , Dante Kalise , Georg Stadler and Emmanuel Trélat

Volume 29 in the series Radon Series on Computational and Applied Mathematics

https://doi.org/10.1515/9783110695984

Overview
Contents

About this book

This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.

Author / Editor information

R. Herzog, Heidelberg U, GE.; M. Heinkenschloss, Rice U, USA; D. Kalise, ICL, UK; G. Stadler, NYU, USA; E. Trélat, Sorb.-U, FR.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	VII
1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE Marco Bernreuther, Georg Müller and Stefan Volkwein Requires Authentication Unlicensed Licensed Download PDF	1
2 Pointwise moving control for the 1-D wave equation Arthur Bottois Requires Authentication Unlicensed Licensed Download PDF	33
3 Limits of stabilizability for a semilinear model for gas pipeline flow Martin Gugat and Michael Herty Requires Authentication Unlicensed Licensed Download PDF	59
4 Minimal cost-time strategies for mosquito population replacement Luis Almeida, Jesús Bellver Arnau, Michel Duprez and Yannick Privat Requires Authentication Unlicensed Licensed Download PDF	73
5 The sterile insect technique used as a barrier control against reinfestation Luis Almeida, Jorge Estrada and Nicolas Vauchelet Requires Authentication Unlicensed Licensed Download PDF	91
6 Variational discretization approach applied to an optimal control problem with bounded measure controls Evelyn Herberg and Michael Hinze Requires Authentication Unlicensed Licensed Download PDF	113
7 An optimal control problem for equations with p-structure and its finite element discretization Adrian Hirn and Winnifried Wollner Requires Authentication Unlicensed Licensed Download PDF	137
8 Unstructured space-time finite element methods for optimal sparse control of parabolic equations Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch and Huidong Yang Requires Authentication Unlicensed Licensed Download PDF	167
9 An adaptive finite element approach for lifted branched transport problems Carolin Dirks and Benedikt Wirth Requires Authentication Unlicensed Licensed Download PDF	189
10 High-order homogenization of the Poisson equation in a perforated periodic domain Florian Feppon Requires Authentication Unlicensed Licensed Download PDF	237
11 Least-squares approaches for the 2D Navier–Stokes system Jérôme Lemoine and Arnaud Münch Requires Authentication Unlicensed Licensed Download PDF	285
12 Numerical issues and turnpike phenomenon in optimal shape design Gontran Lance, Emmanuel Trélat and Enrique Zuazua Requires Authentication Unlicensed Licensed Download PDF	343
13 Feedback stabilization of Cahn–Hilliard phase-field systems Gabriela Marinoschi Requires Authentication Unlicensed Licensed Download PDF	367
14 Ensemble Kalman filter for neural network-based one-shot inversion Philipp A. Guth, Claudia Schillings and Simon Weissmann Requires Authentication Unlicensed Licensed Download PDF	393
15 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion Joost A. A. Opschoor, Christoph Schwab and Jakob Zech Requires Authentication Unlicensed Licensed Download PDF	419
Index Requires Authentication Unlicensed Licensed Download PDF	463

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and graduate students.
Pages
- Front matter: 8
- Main content: 466
Illustrations
- Illustrations: 38
- Coloured Illustrations: 48
Keywords: Differentialgleichungen; Steuereung; Regelung; Quantifizierung; Unsicherheit

eBook

Published: March 7, 2022
ISBN: 9783110695984

Hardcover

Published: March 21, 2022
ISBN: 9783110695960