LEADER 04974nam 22007575 450 001 9910299966703321 005 20220413173947.0 010 $a3-319-05083-4 024 7 $a10.1007/978-3-319-05083-6 035 $a(CKB)3710000000321565 035 $a(EBL)1967902 035 $a(OCoLC)908088133 035 $a(SSID)ssj0001408435 035 $a(PQKBManifestationID)11727577 035 $a(PQKBTitleCode)TC0001408435 035 $a(PQKBWorkID)11348262 035 $a(PQKB)11070932 035 $a(MiAaPQ)EBC1967902 035 $a(DE-He213)978-3-319-05083-6 035 $a(PPN)183152891 035 $a(EXLCZ)993710000000321565 100 $a20141222d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTrends in PDE constrained optimization /$fedited by Günter Leugering, Peter Benner, Sebastian Engell, Andreas Griewank, Helmut Harbrecht, Michael Hinze, Rolf Rannacher, Stefan Ulbrich 205 $a1st ed. 2014. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2014. 215 $a1 online resource (539 p.) 225 1 $aInternational Series of Numerical Mathematics,$x0373-3149 ;$v165 300 $aDescription based upon print version of record. 311 $a3-319-05082-6 320 $aIncludes bibliographical references at the end of each chapters. 327 $aIntroduction -- Part I: Constrained Optimization, Identification and Control -- Part II: Shape and Topology Optimization -- Part III: Adaptivity and Model Reduction -- Part IV: Discretization: Concepts and Analysis -- Part V: Applications. 330 $aOptimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on ?Optimization with Partial Differential Equations? from 2006 to 2013. The investigations were motivated by the fascinating potential applications and challenging mathematical problems that arise in the field of PDE constrained optimization. New analytic and algorithmic paradigms have been developed, implemented and validated in the context of real-world applications. In this special volume, contributions from more than fifteen German universities combine the results of this interdisciplinary program with a focus on applied mathematics.   The book is divided into five sections on ?Constrained Optimization, Identification and Control?, ?Shape and Topology Optimization?, ?Adaptivity and Model Reduction?, ?Discretization: Concepts and Analysis? and ?Applications?. Peer-reviewed research articles present the most recent results in the field of PDE constrained optimization and control problems. Informative survey articles give an overview of topics that set sustainable trends for future research. This makes this special volume interesting not only for mathematicians, but also for engineers and for natural and medical scientists working on processes that can be modeled by PDEs. 410 0$aInternational Series of Numerical Mathematics,$x0373-3149 ;$v165 606 $aPartial differential equations 606 $aMathematical optimization 606 $aComputer mathematics 606 $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 606 $aComputational Mathematics and Numerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M1400X 615 0$aPartial differential equations. 615 0$aMathematical optimization. 615 0$aComputer mathematics. 615 14$aPartial Differential Equations. 615 24$aOptimization. 615 24$aComputational Mathematics and Numerical Analysis. 676 $a519.6 702 $aLeugering$b Günter$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aBenner$b Peter$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aEngell$b Sebastian$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGriewank$b Andreas$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHarbrecht$b Helmut$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHinze$b Michael$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRannacher$b Rolf$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aUlbrich$b Stefan$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299966703321 996 $aTrends in PDE constrained optimization$91410285 997 $aUNINA