TY - GEN digital ID - 131520071 TI - A Direct Method for Parabolic PDE Constrained Optimization Problems PY - 2014 SN - 9783658044763 PB - Wiesbaden Springer Fachmedien Wiesbaden, Imprint: Springer Spektrum DB - UniCat KW - Partial differential equations KW - Differential equations KW - Numerical methods of optimisation KW - Operational research. Game theory KW - Mathematics KW - Biochemical engineering KW - Computer. Automation KW - differentiaalvergelijkingen KW - bio-engineering KW - biochemie KW - automatisering KW - wiskunde UR - https://www.unicat.be/uniCat?func=search&query=sysid:131520071 AB - 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. Contents · Parabolic PDE Constrained Optimization Problems · Two-Grid Newton-Picard Inexact SQP · Structure Exploiting Solution of QPs · Applications and Numerical Results Target Groups · Researchers and students in the fields of mathematics, information systems, and scientific computing · Users with PDE constrained optimization problems, in particular in (bio-)chemical engineering The Author 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. ER -