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Fast solution of discretized optimization problems : workshop held at the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, May 8-12, 2000

Karl‐Heinz Hoffmann, Ronald H. W. Hoppe, Volker Schulz

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Abstract

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.

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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.

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Available abstract

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.

Key concepts: Optimal control, Discretization, Mathematical optimization, Mathematics, Shape optimization, Optimization problem, Sequential quadratic programming, Multigrid method

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Fast solution of discretized optimization problems : workshop held at the Weierstrass Institute for Applied Analysis and Stochastics, Berlin, May 8-12, 2000 — Research Paper | ScholarLens