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.
Editors and Affiliations
, Department Mathematik, Universität Erlangen-Nürnberg, Erlangen, Germany
Günter Leugering
, Fakultät Bio- und Chemieingenieurwesen, Technische Universität Dortmund, Dortmund, Germany
Sebastian Engell
, Institut für Mathematik, Humboldt-Universität zu Berlin, Berlin, Germany
Andreas Griewank
, Fachbereich Mathematik, Universität Hamburg, Hamburg, Germany
Michael Hinze
, Institut für Angewandte Mathematik, Ruprecht-Karls-Universität Heidelberg, Heidelberg, Germany
Rolf Rannacher
, FB 4 - Department Mathematik, Universität Trier, Trier, Germany
Volker Schulz
Fakultät für Mathematik, M1, Lehrstuhl für Mathematische Optimierung, Technische Universität München, Garching bei München, Germany
Michael Ulbrich
, Fachbereich Mathematik, Technische Universität Darmstadt, Darmstadt, Germany
Stefan Ulbrich
Bibliographic Information
Book Title: Constrained Optimization and Optimal Control for Partial Differential Equations
Editors: Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, … Stefan Ulbrich
