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Large-scale PDE-constrained optimization

Author: Lorenz T Biegler
Publisher: Berlin ; New York : Springer, 2003.
Series: Lecture notes in computational science and engineering, 30.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

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.

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Genre/Form: Kongress
Albuquerque (NM)
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Lorenz T Biegler
ISBN: 3540050450 9783540050452
OCLC Number: 52231357
Description: vi, 349 pages : illustrations (some color) ; 24 cm.
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.
Series Title: Lecture notes in computational science and engineering, 30.
Responsibility: Lorenz T. Biegler [and others], editors.

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