About this book
This book on PDE Constrained Optimization contains contributions on the mathematical analysis and numerical solution of constrained optimal control and optimization problems where a partial differential equation (PDE) or a system of PDEs appears as an essential part of the constraints. The appropriate treatment of such problems requires a fundamental understanding of the subtle interplay between optimization in function spaces and numerical discretization techniques and relies on advanced methodologies from the theory of PDEs and numerical analysis as well as scientific computing. The contributions reflect the work of the European Science Foundation Networking Programme ’Optimization with PDEs’ (OPTPDE).
Adaptive Finite Elements Bisection Methods for Mesh Generation Compressible Navier-Stokes Equations Differentiability of Energy Functionals Elliptic State Equations Elliptic Variational Inequalities PDE Constrained Optimization Problems Sensitivity Analysis of Work Functional Separable Ellipsoidal Constraints Topology Design of Elastic Structures Two-sided Estimates for Optimal Control Problems