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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.
| Autorius: | Andreas Potschka |
| Serija: | Advances in Numerical Mathematics |
| Leidėjas: | Springer Fachmedien Wiesbaden |
| Išleidimo metai: | 2013 |
| Knygos puslapių skaičius: | 232 |
| ISBN-10: | 3658044756 |
| ISBN-13: | 9783658044756 |
| Formatas: | 210 x 148 x 13 mm. Knyga minkštu viršeliu |
| Kalba: | Anglų |
Parašykite atsiliepimą apie „A Direct Method for Parabolic PDE Constrained Optimization Problems“
