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Constrained optimization and optimal control for partial differential equations. (English) Zbl 1231.49001

ISNM. International Series of Numerical Mathematics 160. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). xi, 622 p. (2012).

Show indexed articles as search result.

The articles of this volume will be reviewed individually.
Indexed articles:
Bänsch, Eberhard; Benner, Peter, Stabilization of incompressible flow problems by Riccati-based feedback, 5-20 [Zbl 1356.93077]
Blank, Luise; Butz, Martin; Garcke, Harald; Sarbu, Lavinia; Styles, Vanessa, Allen-Cahn and Cahn-Hilliard variational inequalities solved with optimization techniques, 21-35 [Zbl 1356.49009]
Bock, Hans Georg; Potschka, Andreas; Sager, Sebastian; Schlöder, Johannes P., On the connection between forward and optimization problem in one-shot one-step methods, 37-49 [Zbl 1356.49054]
Clever, Debora; Lang, Jens; Ulbrich, Stefan; Ziems, Carsten, Generalized multilevel SQP-methods for PDAE-constrained optimization based on space-time adaptive PDAE solvers, 51-74 [Zbl 1356.49045]
Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim, Projection based model reduction for optimal design of the time-dependent Stokes system, 75-98 [Zbl 1356.65156]
Gauger, Nicolas; Griewank, Andreas; Hamdi, Adel; Kratzenstein, Claudia; Özkaya, Emre; Slawig, Thomas, Automated extension of fixed point PDE solvers for optimal design with bounded retardation, 99-122 [Zbl 1356.49060]
Gugat, Martin; Herty, Michael; Klar, Axel; Leugering, Günther; Schleper, Veronika, Well-posedness of networked hyperbolic systems of balance laws, 123-146 [Zbl 1356.49004]
Hinze, Michael; Köster, Michael; Turek, Stefan, A space-time multigrid method for optimal flow control, 147-170 [Zbl 1356.49046]
Hinze, Michael; Vierling, Morten, A globalized semi-smooth Newton method for variational discretization of control constrained elliptic optimal control problems, 171-182 [Zbl 1356.49043]
Holfeld, Denise; Stumm, Philipp; Walther, Andrea, Structure exploiting adjoints for finite element discretizations, 183-196 [Zbl 1356.49057]
Kostina, Ekaterina; Kostyukova, Olga, Computing covariance matrices for constrained nonlinear large scale parameter estimation problems using Krylov subspace methods, 197-212 [Zbl 1356.93085]
Atwal, Pradeep; Conti, Sergio; Geihe, Benedict; Pach, Martin; Rumpf, Martin; Schultz, Rüdiger, On shape optimization with stochastic loadings, 215-243 [Zbl 1356.93094]
Blank, Luise; Garcke, Harald; Sarbu, Lavinia; Srisupattarawanit, Tarin; Styles, Vanessa; Voigt, Axel, Phase-field approaches to structural topology optimization, 245-256 [Zbl 1356.49044]
Brandenburg, Christian; Lindemann, Florian; Ulbrich, Michael; Ulbrich, Stefan, Advanced numerical methods for PDE constrained optimization with application to optimal design in Navier Stokes flow, 257-275 [Zbl 1356.49019]
Eppler, Karsten; Harbrecht, Helmut, Shape optimization for free boundary problems - analysis and numerics, 277-288 [Zbl 1356.49073]
Gauger, Nicolas; Ilic, Caslav; Schmidt, Stephan; Schulz, Volker, Non-parametric aerodynamic shape optimization, 289-300 [Zbl 1356.49074]
Günther, Andreas; Hinze, Michael; Tber, Moulay Hicham, A posteriori error representations for elliptic optimal control problems with control and state constraints, 303-317 [Zbl 1356.49056]
Meidner, Dominik; Vexler, Boris, Adaptive space-time finite element methods for parabolic optimization problems, 319-348 [Zbl 1356.49049]
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried, A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints, 349-373 [Zbl 1356.49052]
Apel, Thomas; Sirch, Dieter, A priori mesh grading for distributed optimal control problems, 377-389 [Zbl 1455.49019]
Hinze, Michael; Rösch, Arnd, Discretization of optimal control problems, 391-430 [Zbl 1356.49047]
Kohls, Kristina; Rösch, Arnd; Siebert, Kunibert G., A posteriori error estimators for control constrained optimal control problems, 431-443 [Zbl 1356.49048]
Meidner, Dominik; Vexler, Boris, A priori error estimates for space-time finite element discretization of parabolic optimal control problems, 445-466 [Zbl 1356.49050]
Neitzel, Ira; Tröltzsch, Fredi, Numerical analysis of state-constrained optimal control problems for PDEs, 467-482 [Zbl 1356.49051]
Altrogge, Inga; Büskens, Christof; Kröger, Tim; Peitgen, Heinz-Otto; Preusser, Tobias; Tiesler, Hanne, Modeling, simulation and optimization of radio frequency ablation, 487-499 [Zbl 1356.93007]
Bänsch, Eberhard; Kaltenbacher, Manfred; Leugering, Günter; Schury, Fabian; Wein, Fabian, Optimization of electro-mechanical smart structures, 501-519 [Zbl 1356.90138]
Botkin, Nikolai D.; Hoffmann, Karl-Heinz; Turova, Varvara L., Freezing of living cells: mathematical models and design of optimal cooling protocols, 521-540 [Zbl 1356.93008]
Gröschel, Michael; Leugering, Günter; Peukert, Wolfgang, Model reduction, structure-property relations and optimization techniques for the production of nanoscale particles, 541-559 [Zbl 1356.49055]
Haußer, Frank; Janssen, Sandra; Voigt, Axel, Control of nanostructures through electric fields and related free boundary problems, 561-572 [Zbl 1356.49070]
Küpper, Achim; Engell, Sebastian, Optimization of simulated moving bed processes, 573-596 [Zbl 1356.49062]
Pinnau, René; Siedow, Norbert, Optimization and inverse problems in radiative heat transfer, 597-609 [Zbl 1356.49069]
Probst, Markus; Lülfesmann, Michael; Nicolai, Mike; Bücker, H. Martin; Behr, Marek; Bischof, Christian H., On the influence of constitutive models on shape optimization for artificial blood pumps, 611-622 [Zbl 1356.49075]

MSC:

49-06 Proceedings, conferences, collections, etc. pertaining to calculus of variations and optimal control
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
49J20 Existence theories for optimal control problems involving partial differential equations
49K20 Optimality conditions for problems involving partial differential equations
49M25 Discrete approximations in optimal control
65K10 Numerical optimization and variational techniques
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
90C30 Nonlinear programming
00B15 Collections of articles of miscellaneous specific interest
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