A Direct Method for Parabolic PDE Constrained Optimization Problems

Paperback Engels 2013 2014e druk 9783658044756
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Samenvatting

Andreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.

Specificaties

ISBN13:9783658044756
Taal:Engels
Bindwijze:paperback
Aantal pagina's:216
Uitgever:Springer Fachmedien Wiesbaden
Druk:2014

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Inhoudsopgave

Parabolic PDE Constrained Optimization Problems.- Two-Grid Newton-Picard Inexact SQP.- Structure Exploiting Solution of QPs.- Applications and Numerical Results.

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        A Direct Method for Parabolic PDE Constrained Optimization Problems