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Direct Method for Parabolic PDE Constrained Optimization Problems
Andreas Potschka
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Description for Direct Method for Parabolic PDE Constrained Optimization Problems
Paperback. Series: Advances in Numerical Mathematics. Num Pages: 230 pages, 30 black & white illustrations, 11 black & white tables, biography. BIC Classification: PBKJ; PBU; TC. Category: (P) Professional & Vocational. Dimension: 210 x 148 x 13. Weight in Grams: 310.
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.
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.
Product Details
Format
Paperback
Publication date
2013
Publisher
Springer Fachmedien Wiesbaden Germany
Number of pages
230
Condition
New
Series
Advances in Numerical Mathematics
Number of Pages
216
Place of Publication
Weisbaden, Germany
ISBN
9783658044756
SKU
V9783658044756
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Andreas Potschka
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.
Reviews for Direct Method for Parabolic PDE Constrained Optimization Problems
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)