A Direct Method for Parabolic PDE Constrained Optimization Problems - Andreas Potschka
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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 anal ... Full description
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Description
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.
More Information
| Author | Andreas Potschka |
|---|---|
| Publisher | Springer Fachmedien Wiesbaden |
| Series | Advances in Numerical Mathematics |
| Release year | 2013 |
| Cover type | Softcover |
| EAN | 9783658044756 |