03424nam 22006735 450 991029978070332120220407221937.03-319-13395-010.1007/978-3-319-13395-9(CKB)3710000000356743(EBL)1974121(SSID)ssj0001452253(PQKBManifestationID)11952153(PQKBTitleCode)TC0001452253(PQKBWorkID)11487955(PQKB)11786780(DE-He213)978-3-319-13395-9(MiAaPQ)EBC1974121(PPN)18449561X(EXLCZ)99371000000035674320150206d2015 u| 0engur|n|---|||||txtccrNumerical PDE-constrained optimization[electronic resource] /by Juan Carlos De los Reyes1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (129 p.)SpringerBriefs in Optimization,2190-8354Description based upon print version of record.3-319-13394-2 Includes bibliographical references and index.Introduction -- Basic Theory of Partial Differential Equations and Their Discretization -- Theory of PDE-constrained Optimization -- Numerical Optimization Methods -- Box-constrained Problems -- Nonsmooth PDE-constrained Optimization.This 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.SpringerBriefs in Optimization,2190-8354Mathematical optimizationPartial differential equationsNumerical analysisOptimizationhttps://scigraph.springernature.com/ontologies/product-market-codes/M26008Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Mathematical optimization.Partial differential equations.Numerical analysis.Optimization.Partial Differential Equations.Numerical Analysis.510511/.8515.353518519.6De los Reyes Juan Carlosauthttp://id.loc.gov/vocabulary/relators/aut755545BOOK9910299780703321Numerical PDE-constrained optimization1522537UNINA