A Direct Method for Parabolic PDE Constrained Optimization Problems eBook

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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.

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A Direct Method for Parabolic PDE Constrained Optimization Problems is written by Andreas Potschka and published by Springer Spektrum. The Digital and eTextbook ISBNs for A Direct Method for Parabolic PDE Constrained Optimization Problems are 9783658044763, 3658044764 and the print ISBNs are 9783658044756, 3658044756.