img Leseprobe Leseprobe

Optimization with PDE Constraints

ESF Networking Program 'OPTPDE'

Ronald Hoppe (Hrsg.)

ca. 96,29
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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika


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).

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PDE Constrained Optimization Problems, Two-sided Estimates for Optimal Control Problems, Elliptic Variational Inequalities, Bisection Methods for Mesh Generation, Separable Ellipsoidal Constraints, Compressible Navier-Stokes Equations, Topology Design of Elastic Structures, Sensitivity Analysis of Work Functional, Elliptic State Equations, Adaptive Finite Elements, Differentiability of Energy Functionals