Fast Solution of Discretized Optimization Problems

Differential equations - partial as well as ordinary - are one of the main tools for the modeling of real world application problems. Pursuing the ultimate aim of influencing these systems in a desired way, one is confronted with the task of optimizing discretized models. This volume contains selected papers presented at the International Work­ shop on "Fast Solution of Discretized Optimization Problems", which took place at the Weierstrass Institute for Applied Analysis and Stochastics in Berlin from May 08 until May 12, 2000. The conference was attended by 59 scientists from 10 countries. The scientific program consisted of 8 invited lectures presented by H. G. Bock (IWR Heidelberg) M. Heinkenschloss (Rice University, Houston) K. Kunisch (University of Graz) U. Langer (University Linz) B. Mohammadi (University of Montpellier) J. Petersson (University of Linkoping) E. Sachs (University of Trier) F. Troltzsch (Technical University of Chemnitz) and 28 contributed talks. The aim of this workshop was to foster the exchange of ideas between the still comparatively separated disciplines of nonlinear optimiza­ tion on the one side and numerical methods for differential equations on the other side. This is necessary for the successful solution of various current optimization problems in practical applications (shape optimization, topology optimization, pro­ cess optimization . . . ). Therefore the organizing committee as well as the speakers have come from both these communities.

Block Preconditioners for KKT Systems in PDE-GovernedOptimal Control Problems.- Iterative Multiscale Methods for Process Monitoring.- Three Dimensional Shape and Topology Optimizationin Cauchy-Navier's PDE.- A Multigrid Method for Optimal Control of Time-dependentReaction Diffusion Processes.- On the Implementation of Multilevel Solversfor Constrained Variational Problems in Dual Formulation.- Nonlinear Boundary Control for the Heat Equation UtilizingProper Orthogonal Decomposition.- A Posteriori Error Estimation for the Sourcewise RepresentedSolution with Application to the Problem of Heat Conductivity.- Efficient Algorithms for Contact Shape Optimization.- Fast Algorithms for Positional Optimization of Dynamic Systems.- Optimal Sizing Using Automatic Differentiation.- On a Globalized Augmented Lagrangian-SQP Algorithmfor Nonlinear Optimal Control Problems with Box Constraints.- Recent Advances in Mesh Adaptivity for Optimal Control Problems.- Optimal Geometrical Design of Bingham ParameterMeasurement Devices.- Sufficient Optimality for Discretized Parabolic and EllipticControl Problems.- Global Quadratic Dynamic Minimization Approachesfor Shape Design withIncomplete Sensitivities on Cad-Free Parameterization of Multi-disciplinary Configurations.- Convergence of Runge-Kutta Discretization for Optimal ControlProblems.- Numerical Optimal Control Strategies for Semi-Active VehicleSuspension with Electrorheological Fluid Dampers.- Adaptive Approximation Algorithm for Relaxed Optimization Problems.- Optimization Tools for Solving Nonlinear Ill-posed Problems.- Material Optimization with a Penalty Barrier Multiplier Method.- List of authors and co-authors.