000725565 000__ 02796cam\a2200469Ii\4500 000725565 001__ 725565 000725565 005__ 20230306140645.0 000725565 006__ m\\\\\o\\d\\\\\\\\ 000725565 007__ cr\cn\nnnunnun 000725565 008__ 150210s2015\\\\sz\a\\\\ob\\\\001\0\eng\d 000725565 019__ $$a908042203 000725565 020__ $$a9783319133959$$qelectronic book 000725565 020__ $$a3319133950$$qelectronic book 000725565 020__ $$z9783319133942 000725565 0247_ $$a10.1007/978-3-319-13395-9$$2doi 000725565 035__ $$aSP(OCoLC)ocn903118251 000725565 035__ $$aSP(OCoLC)903118251$$z(OCoLC)908042203 000725565 040__ $$aN$T$$beng$$erda$$epn$$cN$T$$dGW5XE$$dDKU$$dN$T$$dUPM$$dIDEBK$$dCOO$$dOCLCF$$dE7B$$dEBLCP$$dYDXCP 000725565 049__ $$aISEA 000725565 050_4 $$aQA402.5 000725565 08204 $$a515/.353$$223 000725565 1001_ $$aDe los Reyes, Juan Carlos,$$eauthor. 000725565 24510 $$aNumerical PDE-constrained optimization$$h[electronic resource] /$$cJuan Carlos De los Reyes. 000725565 264_1 $$aCham :$$bSpringer,$$c2015. 000725565 300__ $$a1 online resource (x, 123 pages) :$$billustrations. 000725565 336__ $$atext$$btxt$$2rdacontent 000725565 337__ $$acomputer$$bc$$2rdamedia 000725565 338__ $$aonline resource$$bcr$$2rdacarrier 000725565 4901_ $$aSpringerBriefs in optimization,$$x2190-8354 000725565 504__ $$aIncludes bibliographical references and index. 000725565 5050_ $$aIntroduction -- Basic Theory of Partial Differential Equations and Their Discretization -- Theory of PDE-constrained Optimization -- Numerical Optimization Methods -- Box-constrained Problems -- Nonsmooth PDE-constrained Optimization. 000725565 506__ $$aAccess limited to authorized users. 000725565 520__ $$aThis book introduces, in an accessible way, the basic elements of Numerical PDE-Constrained Optimization, from the derivation of optimality conditions to the design of solution algorithms. Numerical optimization methods in function-spaces and their application to PDE-constrained problems are carefully presented. The developed results are illustrated with several examples, including linear and nonlinear ones. In addition, MATLAB codes, for representative problems, are included. Furthermore, recent results in the emerging field of nonsmooth numerical PDE constrained optimization are also covered. The book provides an overview on the derivation of optimality conditions and on some solution algorithms for problems involving bound constraints, state-constraints, sparse cost functionals and variational inequality constraints. 000725565 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed February 11, 2015). 000725565 650_0 $$aConstrained optimization. 000725565 650_0 $$aDifferential equations, Partial. 000725565 77608 $$iPrint version:$$z9783319133942 000725565 830_0 $$aSpringerBriefs in optimization. 000725565 852__ $$bebk 000725565 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-13395-9$$zOnline Access$$91397441.1 000725565 909CO $$ooai:library.usi.edu:725565$$pGLOBAL_SET 000725565 980__ $$aEBOOK 000725565 980__ $$aBIB 000725565 982__ $$aEbook 000725565 983__ $$aOnline 000725565 994__ $$a92$$bISE