LEADER 03722nam 22006855 450 001 9910300147003321 005 20260810164427.0 010 $a9783658044763 010 $a3658044764 024 7 $a10.1007/978-3-658-04476-3 035 $a(OCoLC)878127448 035 $a(MiFhGG)GVRL6XCI 035 $a(CKB)3710000000074931 035 $a(DE-He213)978-3-658-04476-3 035 $a(EXLCZ)993710000000074931 100 $a20131129d2014 u| 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 12$aA Direct Method for Parabolic PDE Constrained Optimization Problems /$fby Andreas Potschka 205 $a1st ed. 2014. 210 1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2014. 215 $a1 online resource (xiv, 216 pages) $cillustrations 225 1 $aAdvances in Numerical Mathematics 300 $a"ISSN: 1616-2994." 311 08$a9783658044756 311 08$a3658044756 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 $aAndreas Potschka discusses a direct multiple shooting method for dynamic optimization problems constrained by nonlinear, possibly time-periodic, parabolic partial differential equations. In contrast to indirect methods, this approach automatically computes adjoint derivatives without requiring the user to formulate adjoint equations, which can be time-consuming and error-prone. The author describes and analyzes in detail a globalized inexact Sequential Quadratic Programming method that exploits the mathematical structures of this approach and problem class for fast numerical performance. The book features applications, including results for a real-world chemical engineering separation problem.   Contents ·         Parabolic PDE Constrained Optimization Problems ·         Two-Grid Newton-Picard Inexact SQP ·         Structure Exploiting Solution of QPs ·         Applications and Numerical Results       Target Groups ·         Researchers and students in the fields of mathematics, information systems, and scientific computing ·         Userswith PDE constrained optimization problems, in particular in (bio-)chemical engineering   The Author Dr. Andreas Potschka is a postdoctoral researcher in the Simulation and Optimization group of Prof. Dr. Dres. h. c. Hans Georg Bock at the Interdisciplinary Center for Scientific Computing, Heidelberg University. He is the head of the research group Model-Based Optimizing Control. 410 0$aAdvances in Numerical Mathematics 606 $aMathematical optimization 606 $aMathematics 606 $aBiotechnology 606 $aDifferential equations 606 $aOptimization 606 $aMathematics 606 $aChemical Bioengineering 606 $aDifferential Equations 615 0$aMathematical optimization. 615 0$aMathematics. 615 0$aBiotechnology. 615 0$aDifferential equations. 615 14$aOptimization. 615 24$aMathematics. 615 24$aChemical Bioengineering. 615 24$aDifferential Equations. 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