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

Here are 15 lectures from a Special Semester on optimization (October to December 2019) at the Johann Radon Institute for Computational and Applied Mathematics in Linz, Austria. Focusing on the optimization and control of partial differential equations, they consider such topics as limits of stabilization for a semilinear model for gas pipeline flow, the sterile insect technique as a barrier control agent against reinfestation, an adaptive finite element approach for lifted branched transport problems, least-squares approaches for the two-dimensional Navier-Stokes system, and an ensemble Kalman filter for neural network-based one-shot inversion. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)

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.