Leugering / Engell / Griewank Constrained Optimization and Optimal Control for Partial Differential Equations

2012
ISBN: 978-3-0348-0133-1
Verlag: Springer
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, Band 160, 624 Seiten, eBook

Reihe: International Series of Numerical Mathematics

This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization.

Zielgruppe

Research

Autoren/Hrsg.

Leugering, Günter

Engell, Sebastian

Griewank, Andreas

Hinze, Michael

Rannacher, Rolf

Schulz, Volker

Ulbrich, Michael

Ulbrich, Stefan

Inhaltsverzeichnis

Introduction.- Constrained Optimization, Identification and Control.- Shape and Topology Optimization.- Model Reduction.- Discretization: Concepts and Analysis.- Applications.