Cover image for Computational optimization of systems governed by partial differential equations
Title:
Computational optimization of systems governed by partial differential equations
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Series:
Computational science and engineering series
Publication Information:
Philadelphia : Society for Industrial and Applied Mathematics, c2012
Physical Description:
xx, 282 p. : ill. (some col.) 26 cm.
ISBN:
9781611972047
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30000010315219 QA402.5 B67 2012 Open Access Book Book
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Summary

Summary

This book fills a gap between theory-oriented investigations in PDE-constrained optimization and the practical demands made by numerical solutions of PDE optimization problems. The authors discuss computational techniques representing recent developments that result from a combination of modern techniques for the numerical solution of PDEs and for sophisticated optimization schemes.

Computational Optimization of Systems Governed by Partial Differential Equations offers readers a combined treatment of PDE-constrained optimization and uncertainties and an extensive discussion of multigrid optimization. It provides a bridge between continuous optimization and PDE modeling and focuses on the numerical solution of the corresponding problems.


Table of Contents

Preface
1 Introduction
2 Optimality conditions
3 Discretization of optimality systems
4 Single-grid optimization
5 Multigrid methods
6 PDE optimization with uncertainty
7 Applications
Bibliography
Index