<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 o
Optimization and Control for Partial Differential Equations: Uncertainty quantification, open and closed-loop control, and shape optimization: 29 ... on Computational and Applied Mathematics, 29)
✍ Scribed by Herzog, Roland, Heinkenschloss, Matthias, Kalise, Dante, Stadler, Georg, Trélat, Emmanuel
- Publisher
- De Gruyter
- Year
- 2022
- Tongue
- English
- Leaves
- 472
- Category
- Library
No coin nor oath required. For personal study only.
✦ Table of Contents
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
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