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Trends in PDE constrained optimization. (English) Zbl 1306.49001

ISNM. International Series of Numerical Mathematics 165. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). xiv, 543 p. (2014).

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The articles of this volume will be reviewed individually.
Indexed articles:
Blank, Luise; Farshbaf-Shaker, M. Hassan; Hecht, Claudia; Michl, Josef; Rupprecht, Christoph, Optimal control of Allen-Cahn systems, 11-26 [Zbl 1327.49018]
Herzog, Roland; Meyer, Christian; Wachsmuth, Gerd, Optimal control of elastoplastic processes: analysis, algorithms, numerical analysis and applications, 27-41 [Zbl 1327.49036]
Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Schulz, Volker, One-shot approaches to design optimzation, 43-66 [Zbl 1327.90300]
Bosse, Torsten; Gauger, Nicolas R.; Griewank, Andreas; Günther, Stefanie; Kaland, Lena; Kratzenstein, Claudia; Lehmann, Lutz; Nemili, Anil; Özkaya, Emre; Slawig, Thomas, Optimal design with bounded retardation for problems with non-separable adjoints, 67-84 [Zbl 1332.49034]
Bott, Stefanie; Clever, Debora; Lang, Jens; Ulbrich, Stefan; Ziems, Jan; Schröder, Dirk, On a fully adaptive SQP method for PDAE-constrained optimal control problems with control and state constraints, 85-108 [Zbl 1320.49015]
Pfaff, Sebastian; Ulbrich, Stefan; Leugering, Günter, Optimal control of nonlinear hyperbolic conservation laws with switching, 109-131 [Zbl 1327.49014]
Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M., Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization, 133-153 [Zbl 1327.49037]
Hoffmann, Karl-Heinz; Botkin, Nikolai; Turova, Varvara, Models and optimal control in freezing and thawing of living cells and tissues, 155-172 [Zbl 1327.49009]
Bänsch, Eberhard; Benner, Peter; Saak, Jens; Weichelt, Heiko K., Optimal control-based feedback stabilization of multi-field flow problems, 173-188 [Zbl 1327.49061]
Conti, Sergio; Geihe, Benedict; Rumpf, Martin; Schultz, Rüdiger, Two-stage stochastic optimization meets two-scale simulation, 193-211 [Zbl 1327.49071]
Harbrecht, Helmut; Tausch, Johannes, On shape optimization with parabolic state equation, 213-229 [Zbl 1320.49028]
Blank, Luise; Farshbaf-Shaker, M. Hassan; Garcke, Harald; Rupprecht, Christoph; Styles, Vanessa, Multi-material phase field approach to structural topology optimization, 231-246 [Zbl 1327.49068]
Rannacher, Rolf, Model reduction by adaptive discretization in optimal control, 251-284 [Zbl 1320.49017]
Apel, Thomas; Pfefferer, Johannes; Rösch, Arnd, Graded meshes in optimal control for elliptic partial differential equations: an overview, 285-302 [Zbl 1327.49045]
Benner, Peter; Sachs, Ekkehard; Volkwein, Stefan, Model order reduction for PDE constrained optimization, 303-326 [Zbl 1327.49043]
Sachs, Ekkehard W.; Schneider, Marina; Schu, Matthias, Adaptive trust-region POD methods in PIDE-constrained optimization, 327-342 [Zbl 1327.49053]
Braack, Malte; Klein, Markus; Prohl, Andreas; Tews, Benjamin, Optimal control for two-phase flows, 347-363 [Zbl 1327.49005]
Deckelnick, Klaus; Hinze, Michael, A-priori error bounds for finite element approximation of elliptic optimal control problems with gradient constraints, 365-382 [Zbl 1327.49047]
Hinze, Michael; Köster, Michael; Turek, Stefan, Space-time Newton-multigrid strategies for nonstationary distributed and boundary flow control problems, 383-401 [Zbl 1327.49044]
Kohls, Kristina; Siebert, Kunibert; Rösch, Arnd, Convergence of adaptive finite elements for optimal control problems with control constraints, 403-419 [Zbl 1327.49050]
Flaig, Thomas G.; Meidner, Dominik; Vexler, Boris, Petrov-Galerkin Crank-Nicolson scheme for parabolic optimal control problems on nonsmooth domains, 421-435 [Zbl 1327.49048]
Barnard, Richard; Frank, Martin; Herty, Michael, Optimal treatment planning in radiotherapy based on Boltzmann transport equations, 441-453 [Zbl 1327.49004]
Burger, Martin; Pinnau, René; Fouego, Marcisse; Rau, Sebastian, Optimal control of self-consistent classical and quantum particle systems, 455-470 [Zbl 1327.49006]
Gröschel, Michael; Peukert, Wolfgang; Leugering, Günter, Modeling, analysis and optimization of particle growth, nucleation and ripening by the way of nonlinear hyperbolic integro-partial differential equations, 471-486 [Zbl 1327.49008]
Dick, Markus; Gugat, Martin; Herty, Michael; Leugering, Günter; Steffensen, Sonja; Wang, Ke, Stabilization of networked hyperbolic systems with boundary feedback, 487-504 [Zbl 1327.93312]
Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Wixforth, Achim, Optimal control of surface acoustic wave actuated sorting of biological cells, 505-519 [Zbl 1322.49068]
Behrens, Malte; Bock, Hans Georg; Engell, Sebastian; Khobkhun, Phawitphorn; Potschka, Andreas, Real-time PDE constrained optimal control of a periodic multicomponent separation process, 521-537 [Zbl 1322.49053]
Herzog, Roland; Rösch, Arnd; Ulbrich, Stefan; Wollner, Winnifried, OPTPDE: A collection of problems in PDE-constrained optimization, 539-543 [Zbl 1320.49002]

MSC:

49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
49K20 Optimality conditions for problems involving partial differential equations
49K30 Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
49J20 Existence theories for optimal control problems involving partial differential equations
65K10 Numerical optimization and variational techniques
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
00B15 Collections of articles of miscellaneous specific interest

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