Constrained optimization and optimal control for partial differential equations Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich ed.

Literaturangaben

Constrained optimization, identification and control: Stabilization of incompressible flow problems E. Bänsch and P. Benner. Allen-Cahn and Cahn-Hilliard variational inequalities solved with optimization techniques / L. Blank ... [et al.]. On the connection between forward and optimization problem in one-shot one-step methods / H.G. Bock ... [et al.]. Generalized multilevel SQP-methods for PDAE-constrained optimization based on space-time adaptive PDAE solvers / D. Clever ... [et al.]. Projection based model reduction for optimal design of the time-dependent Stokes system / T. Franke ... [et al.]. Automated extension of fixed point PDE solvers for optimal design with bounded retardation / N Gauger ... [et al.]. Well-posedness of networked hyperbolic systems of balance laws / M. Gugat ... [et al.]. A space-time multigrid method for optimal flow control / M. Hinze, M. Köster and St. Turek. A globalized semi-smooth Newton methods for variational discretization of control constrained elliptic optimal control problems / M. Hinze and M. Vierling. Structure exploiting adjoints for finite element discretizations / D. Holfeld, Ph. Stumm and A. Walther. Computing covariance matrices for constrained nonlinear large scale parameter estimation problems using Krylov subspace methods / E. Kostina and O. Kostyukova

Shape and topology optimization: On shape optimization with stochastic loadings P. Atwal ... [et al.]. Phase-field approaches to structural topology optimization / L. Blank ... [et al.]. Advanced numerical methods for PDE constrained optimization with application to optimal design in Navier Stokes flow / C. Brandenburg ... [et al.]. Shape optimization for free boundary problems : analysis and numerics / K. Eppler and H. Harbrecht. Non-parametric aerodynamic shape optimization / N. Gauger ... [et al.]

Model reduction: A posteriori error representations for elliptic optimal control problems with control and state constraints A. Günther, M. Hinze and M.H. Tber. Adaptive space-time finite element methods for parabolic optimization problems / D. Meidner and B. Vexler. A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints / R. Rannacher, B. Vexler and W. Wollner

Discretization : concepts and analysis: A priori mesh grading for distributed optimal control problems T. Apel and D. Sirch. Discretization of optimal control problems / M. Hinze and A. Rösch. A posteriori error estimators for control constrained optimal control problems / K. Kohls, A. Rösch and K.G. Siebert. A priori error estimates for space-time finite element discretization of parabolic optimal control problems / D. Meidner and B. Vexler. Numerical analysis of state-constrained optimal control problems for PDEs / I. Neitzel and F. Tröltzsch

Applications: Modeling, simulation and optimization of radio frequency ablation I. Altrogge ... [et al.]. Optimization of electro-mechanical Smart structures / E. Bänsch ... [et al.]. Freezing of living cells : mathematical models and design of optimal cooling protocols / N.D. Botkins, K.-H. Hoffmann and V.L. Turova. Model reduction, structure-property relations and optimization techniques for the production of nanoscale particles / M. Gröschel, G. Leugering and W. Peukert. Control of nanostructures through electric fields and related free boundary problems / F. Hausser, S. Janssen and A. Voigt. Optimization of simulated moving bed processes / A. Küpper and S. Engell. Optimization and inverse problems in radiative heat transfer / R. Pinnau and N. Siedow. On the influence of constitutive models on shape optimization for artificial blood pumps / M. Probst ... [et al.].

Constrained Optimization and Optimal Control for Partial Differential Equations