Computational Optimization of Systems Governed by Partial Differential Equations (Computational Science and Engineering)

Borzi, Alfio/ Schulz, Volker

Society for Industrial & Applied（2012/01発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 282 p.
• 言語 ENG
• 商品コード 9781611972047
• DDC分類 515.353

Full Description

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.

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.