LEADER 03166oam 2200493 450 001 9910300147003321 005 20190911112726.0 010 $a3-658-04476-4 024 7 $a10.1007/978-3-658-04476-3 035 $a(OCoLC)878127448 035 $a(MiFhGG)GVRL6XCI 035 $a(EXLCZ)993710000000074931 100 $a20131118d2014 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 12$aA direct method for parabolic PDE constrained optimization problems /$fAndreas Potschka 205 $a1st ed. 2014. 210 1$aHeidelberg, Germany :$cSpringer Spektrum,$d2014. 215 $a1 online resource (xiv, 216 pages) $cillustrations 225 1 $aAdvances in Numerical Mathematics,$x1616-2994 300 $a"ISSN: 1616-2994." 311 $a3-658-04475-6 320 $aIncludes bibliographical references. 327 $aParabolic PDE Constrained Optimization Problems -- Two-Grid Newton-Picard Inexact SQP -- Structure Exploiting Solution of QPs -- Applications and Numerical Results. 330 $aAndreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.   Contents ·         Parabolic PDE Constrained Optimization Problems ·         Two-Grid Newton-Picard Inexact SQP ·         Structure Exploiting Solution of QPs ·         Applications and Numerical Results       Target Groups ·         Researchers and students in the fields of mathematics, information systems, and scientific computing ·         Users with PDE constrained optimization problems, in particular in (bio-)chemical engineering   The Author Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h. c. Hans Georg Bock at the Interdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control. 410 0$aVieweg+Teubner research.$pAdvances in numerical mathematics. 606 $aMathematical models 606 $aMathematics 615 0$aMathematical models. 615 0$aMathematics. 676 $a510 676 $a515 676 $a515.353 676 $a515/.353 700 $aPotschka$b Andreas$4aut$4http://id.loc.gov/vocabulary/relators/aut$0721208 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910300147003321 996 $aDirect method for parabolic PDE constrained optimization problems$91409980 997 $aUNINA