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Optimization with PDE Constraints

ESF Networking Program 'OPTPDE'

Ronald Hoppe (Hrsg.)

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ca. 96,29
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Springer International Publishing img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

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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Schlagwörter

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