Direct Method for Parabolic PDE Constrained Optimization Problems

Häftad, Engelska, 2013

Del i serien Advances in Numerical Mathematics

536 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2013-12-13
Mått:148 x 210 x 13 mm
Vikt:306 g
Format:Häftad
Språk:Engelska
Serie:Advances in Numerical Mathematics
Antal sidor:216
Upplaga:2014
Förlag:Springer Fachmedien Wiesbaden
ISBN:9783658044756

Utforska kategorier

Optimering inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik
Biokemisk teknik inom Naturvetenskap och teknik

Mer om författaren

Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h. c. Hans Georg Bock at the Interdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control.

Recensioner i media

From the book reviews: "The thesis is well written and organized, structured in three parts: theoretical foundations, numerical methods, and applications and numerical results. The target groups are researches and students in the fields of mathematics, information systems and scientific computing as well as users confronted with PDE constrained optimization problems." (Ctirad Matonoha, zbMATH, Vol. 1293, 2014)

Innehållsförteckning

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