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010   $a3-319-13395-0
024 7 $a10.1007/978-3-319-13395-9
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035   $a(EBL)1974121
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035   $a(DE-He213)978-3-319-13395-9
035   $a(MiAaPQ)EBC1974121
035   $a(PPN)18449561X
035   $a(EXLCZ)993710000000356743
100   $a20150206d2015      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aNumerical PDE-constrained optimization$b[electronic resource] /$fby Juan Carlos De los Reyes
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (129 p.)
225 1 $aSpringerBriefs in Optimization,$x2190-8354
300   $aDescription based upon print version of record.
311   $a3-319-13394-2 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Basic Theory of Partial Differential Equations and Their Discretization -- Theory of PDE-constrained Optimization -- Numerical Optimization Methods -- Box-constrained Problems -- Nonsmooth PDE-constrained Optimization.
330   $aThis book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are illustrated with several examples, including linear and nonlinear ones. In addition, MATLAB codes, for representative problems, are included. Furthermore, recent results in the emerging field of nonsmooth numerical PDE constrained optimization are also covered. The book provides an overview on the derivation of optimality conditions and on some solution algorithms for problems involving bound constraints, state-constraints, sparse cost functionals and variational inequality constraints.
410  0$aSpringerBriefs in Optimization,$x2190-8354
606   $aMathematical optimization
606   $aPartial differential equations
606   $aNumerical analysis
606   $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
615  0$aMathematical optimization.
615  0$aPartial differential equations.
615  0$aNumerical analysis.
615 14$aOptimization.
615 24$aPartial Differential Equations.
615 24$aNumerical Analysis.
676   $a510
676   $a511/.8
676   $a515.353
676   $a518
676   $a519.6
700   $aDe los Reyes$b Juan Carlos$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755545
906   $aBOOK
912   $a9910299780703321
996   $aNumerical PDE-constrained optimization$91522537
997   $aUNINA