Book
Licensed
Unlicensed
Requires Authentication
Optimization and Control for Partial Differential Equations
Uncertainty quantification, open and closed-loop control, and shape optimization
-
Edited by:
Roland Herzog
Language:
English
Published/Copyright:
2022
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
-
Download PDFPublicly Available
Frontmatter
I -
Download PDFPublicly Available
Preface
V -
Download PDFPublicly Available
Contents
VII -
Requires Authentication UnlicensedLicensed
1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE
1 -
Requires Authentication UnlicensedLicensed
2 Pointwise moving control for the 1-D wave equation
33 -
Requires Authentication UnlicensedLicensed
3 Limits of stabilizability for a semilinear model for gas pipeline flow
59 -
Requires Authentication UnlicensedLicensed
4 Minimal cost-time strategies for mosquito population replacement
73 -
Requires Authentication UnlicensedLicensed
5 The sterile insect technique used as a barrier control against reinfestation
91 -
Requires Authentication UnlicensedLicensed
6 Variational discretization approach applied to an optimal control problem with bounded measure controls
113 -
Requires Authentication UnlicensedLicensed
7 An optimal control problem for equations with p-structure and its finite element discretization
137 -
Requires Authentication UnlicensedLicensed
8 Unstructured space-time finite element methods for optimal sparse control of parabolic equations
167 -
Requires Authentication UnlicensedLicensed
9 An adaptive finite element approach for lifted branched transport problems
189 -
Requires Authentication UnlicensedLicensed
10 High-order homogenization of the Poisson equation in a perforated periodic domain
237 -
Requires Authentication UnlicensedLicensed
11 Least-squares approaches for the 2D Navier–Stokes system
285 -
Requires Authentication UnlicensedLicensed
12 Numerical issues and turnpike phenomenon in optimal shape design
343 -
Requires Authentication UnlicensedLicensed
13 Feedback stabilization of Cahn–Hilliard phase-field systems
367 -
Requires Authentication UnlicensedLicensed
14 Ensemble Kalman filter for neural network-based one-shot inversion
393 -
Requires Authentication UnlicensedLicensed
15 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion
419 -
Requires Authentication UnlicensedLicensed
Index
463
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 7, 2022
eBook ISBN:
9783110695984
Hardcover published on:
March 21, 2022
Hardcover ISBN:
9783110695960
Pages and Images/Illustrations in book
Front matter:
8
Main content:
466
Illustrations:
38
Coloured Illustrations:
48
Audience(s) for this book
Researchers and graduate students.
Safety & product resources
-
Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
