Optimization and Control for Partial Differential Equations : : Uncertainty quantification, open and closed-loop control, and shape optimization / / ed. by Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler, Emmanuel Trélat.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• MitwirkendeR: Almeida, Luis,; Arnau, Jesús Bellver,; Bernreuther, Marco,; Bottois, Arthur,; Dirks, Carolin,; Duprez, Michel,; Estrada, Jorge,; Feppon, Florian,; Gugat, Martin,; Guth, Philipp A.,; Herberg, Evelyn,; Herty, Michael,; Hinze, Michael,; Hirn, Adrian,; Lance, Gontran,; Langer, Ulrich,; Lemoine, Jérôme,; Marinoschi, Gabriela,; Müller, Georg,; Münch, Arnaud,; Opschoor, Joost A. A.,; Privat, Yannick,; Schillings, Claudia,; Schwab, Christoph,; Steinbach, Olaf,; Trélat, Emmanuel,; Tröltzsch, Fredi,; Vauchelet, Nicolas,; Volkwein, Stefan,; Weissmann, Simon,; Wirth, Benedikt,; Wollner, Winnifried,; Yang, Huidong,; Zech, Jakob,; Zuazua, Enrique,
• HerausgeberIn: Heinkenschloss, Matthias,; Herzog, Roland,; Kalise, Dante,; Stadler, Georg,; Trélat, Emmanuel,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2022]; ©2022
• Year of Publication: 2022
• Language: English
• Series: Radon Series on Computational and Applied Mathematics , 29
• Physical Description: 1 online resource (VIII, 466 p.)

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 i...

Table of Contents

• Frontmatter
• Preface
• Contents
• 1 Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE
• 2 Pointwise moving control for the 1-D wave equation
• 3 Limits of stabilizability for a semilinear model for gas pipeline flow
• 4 Minimal cost-time strategies for mosquito population replacement
• 5 The sterile insect technique used as a barrier control against reinfestation
• 6 Variational discretization approach applied to an optimal control problem with bounded measure controls
• 7 An optimal control problem for equations with p-structure and its finite element discretization
• 8 Unstructured space-time finite element methods for optimal sparse control of parabolic equations
• 9 An adaptive finite element approach for lifted branched transport problems
• 10 High-order homogenization of the Poisson equation in a perforated periodic domain
• 11 Least-squares approaches for the 2D Navier–Stokes system
• 12 Numerical issues and turnpike phenomenon in optimal shape design
• 13 Feedback stabilization of Cahn–Hilliard phase-field systems
• 14 Ensemble Kalman filter for neural network-based one-shot inversion
• 15 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion
• Index