Optimization with PDE Constraints

ESF Networking Program 'OPTPDE'

  • Ronald Hoppe

Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 101)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Petr Beremlijski, Jaroslav Haslinger, Jiří Outrata, Róbert Pathó
    Pages 1-24
  3. Charles Brett, Charles M. Elliott, Andreas S. Dedner
    Pages 25-63
  4. Maurizio Falcone, Marco Verani
    Pages 65-94
  5. A. Gaevskaya, M. Hintermüller, R. H. W. Hoppe, C. Löbhard
    Pages 95-150
  6. Martin J. Gander, Felix Kwok, Gerhard Wanner
    Pages 151-202
  7. S. M. Giusti, Jan Sokołowski, Jan Stebel
    Pages 203-220
  8. Jean-Pierre Puel
    Pages 379-402
  9. Back Matter
    Pages 403-410

About this book


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).


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

Editors and affiliations

  • Ronald Hoppe
    • 1
  1. 1.Institut für MathematikUniversität AugsburgAugsburgGermany

Bibliographic information