Direct Method for Parabolic PDE Constrained Optimization Problems

Häftad, Engelska, 2013

709 kr

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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

Utgivningsdatum2013-12-13
Mått148 x 210 x 13 mm
Vikt306 g
FormatHäftad
SpråkEngelska
SerieAdvances in Numerical Mathematics
Antal sidor216
Upplaga2014
FörlagSpringer Fachmedien Wiesbaden
ISBN9783658044756

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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)