TY  - BOOK
AU  - Herzog,Roland
AU  - Heinkenschloss,Matthias
AU  - Kalise,Dante
AU  - Stadler,Georg
AU  - Trélat,Emmanuel
TI  - Optimization and Control for Partial Differential Equations: Uncertainty quantification, open and closed-loop control, and shape optimization 
T2  - Radon Series on Computational and Applied Mathematics ,
SN  - 9783110695984
PY  - 2022///]
CY  - Berlin, Boston
PB  - De Gruyter, 
KW  - MATHEMATICS / Applied
KW  - bisacsh
KW  - Differentialgleichungen
KW  - Steuereung
KW  - Regelung
KW  - Quantifizierung
KW  - Unsicherheit
N1  - Frontmatter --; Preface --; Contents --; 1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE;  / Marco Bernreuther, Georg Müller, Stefan Volkwein  --; 2 Pointwise moving control for the 1-D wave equation;  / Arthur Bottois  --; 3 Limits of stabilizability for a semilinear model for gas pipeline flow;  / Martin Gugat, Michael Herty  --; 4 Minimal cost-time strategies for mosquito population replacement;  / Luis Almeida, Jesús Bellver Arnau, Michel Duprez, Yannick Privat  --; 5 The sterile insect technique used as a barrier control against reinfestation;  / Luis Almeida, Jorge Estrada, Nicolas Vauchelet  --; 6 Variational discretization approach applied to an optimal control problem with bounded measure controls;  / Evelyn Herberg, Michael Hinze  --; 7 An optimal control problem for equations with p-structure and its finite element discretization;  / Adrian Hirn, Winnifried Wollner  --; 8 Unstructured space-time finite element methods for optimal sparse control of parabolic equations;  / Ulrich Langer, Olaf Steinbach, Fredi Tröltzsch, Huidong Yang  --; 9 An adaptive finite element approach for lifted branched transport problems;  / Carolin Dirks, Benedikt Wirth  --; 10 High-order homogenization of the Poisson equation in a perforated periodic domain;  / Florian Feppon  --; 11 Least-squares approaches for the 2D Navier-Stokes system;  / Jérôme Lemoine, Arnaud Münch  --; 12 Numerical issues and turnpike phenomenon in optimal shape design;  / Gontran Lance, Emmanuel Trélat, Enrique Zuazua  --; 13 Feedback stabilization of Cahn-Hilliard phase-field systems;  / Gabriela Marinoschi  --; 14 Ensemble Kalman filter for neural network-based one-shot inversion;  / Philipp A. Guth, Claudia Schillings, Simon Weissmann  --; 15 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion;  / Joost A. A. Opschoor, Christoph Schwab, Jakob Zech  --; Index; restricted access; Issued also in print
N2  - 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
UR  - https://www.degruyterbrill.com/isbn/9783110695984
UR  - https://www.degruyterbrill.com/document/cover/isbn/9783110695984/original
ER  -