Optimization with PDE Constraints

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).


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).
Presents the development, analysis and application of new, innovative mathematical techniques for the solution of constrained optimization problems Covers important applications in automotive and aerospace industries and chemical processing as well as applications in emerging technologies in materials and life sciences Develops and implements efficient and reliable numerical solution techniques Includes supplementary material: sn.pub/extras

Autor*in

Ronald Hoppe

Themen in »Optimization with PDE Constraints«

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

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