Optimization with PDE Constraints

ESF Networking Program 'OPTPDE'

Gebonden Engels 2014 2014e druk 9783319080246
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

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).

Specificaties

ISBN13:9783319080246
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:402
Uitgever:Springer International Publishing
Druk:2014

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Inhoudsopgave

Solution of 2D Contact Shape Optimization Problems.- Phase Field Methods for Binary Recovery.- Programming with Separable Ellipsoidal Constraints.- Adaptive Finite Elements for Optimally Controlled Elliptic Variational Inequalities.- Topology Design of Elastic Structures for a Contact Model.- Bisection Methods for Mesh Generation.- Differentiability of Energy Functionals for Unilateral Problems in Domains.- Two-Sided Guaranteed Estimates of the Cost Functional for Optimal Control Problems with Elliptic State Equations.- Sensitivity Analysis of Work Functional for Compressible Navier-Stokes Equations.- Exact Controllability to Trajectories for Navier-Stokes Equations.

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        Optimization with PDE Constraints