Large-Scale PDE-Constrained Optimization

Optimal design, optimal control, and parameter estimation of systems governed by partial differential equations (PDEs) give rise to a class of problems known as PDE-constrained optimization. The size and complexity of the discretized PDEs often pose significant challenges for contemporary optimizati...

Full description

Bibliographic Details
Other Authors: Biegler, Lorenz T. (Editor), Ghattas, Omar (Editor), Heinkenschloss, Matthias (Editor), van Bloemen Waanders, Bart (Editor)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2003, 2003
Edition:1st ed. 2003
Series:Lecture Notes in Computational Science and Engineering
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • I Introduction
  • Large-Scale PDE-Constrained Optimization: An Introduction
  • II Large-Scale CFD Applications
  • Nonlinear Elimination in Aerodynamic Analysis and Design Optimization
  • Optimization of Large-Scale Reacting Flows using MPSalsa and Sequential Quadratic Programming
  • III Multifidelity Models and Inexactness
  • First-Order Approximation and Model Management in Optimization
  • Multifidelity Global Optimization Using DIRECT
  • Inexactness Issues in the Lagrange-Newton-Krylov-Schur Method for PDE-constrained Optimization
  • IV Sensitivities for PDE-based Optimization
  • Solution Adapted Mesh Refinement and Sensitivity Analysis for Parabolic Partial Differential Equation Systems
  • Challenges and Opportunities in Using Automatic Differentiation with Object-Oriented Toolkits for Scientific Computing
  • Piggyback Differentiation and Optimization
  • V NLP Algorithms and Inequality Constraints
  • Assessing the Potential of Interior Methods for Nonlinear Optimization
  • An Interior-Point Algorithm for Large Scale Optimization
  • SQP SAND Strategies that Link to Existing Modeling Systems
  • Interior Methods For a Class of Elliptic Variational Inequalities
  • Hierarchical Control of a Linear Diffusion Equation
  • VI Time-Dependent Problems
  • A Sequential Quadratic Programming Method for Nonlinear Model Predictive Control
  • Reduced Order Modelling Approaches to PDE-Constrained Optimization Based on Proper Orthogonal Decomposition
  • Adaptive Simulation, the Adjoint State Method, and Optimization
  • VII Frameworks for PDE-Constrained Optimization
  • 18 The SIERRA Framework for Developing Advanced Parallel Mechanics Applications
  • rSQP++: An Object-Oriented Framework for Successive Quadratic Programming
  • Sundance Rapid Prototyping Tool for Parallel PDE Optimization
  • Color Plates