Lehrinhalte
Weak solutions of partial differential equations; Linear-quadratic problems with control constraints: existence and uniqueness, first-order necessary conditions, adjoint equations; semilinear problems with control constraints: existence, Nemyzkii operators, first-order necessary and second-order sufficient conditions; algorithms: finite elements in optimal control, semismooth Newton methods, SQP methods
Literatur
Tröltzsch: Optimale Steuerung partieller Differentialgleichungen
Hinze, Pinnau, M. Ulbrich, S. Ulbrich: Optimization with PDE Constraints
Voraussetzungen
recommended: Nonlinear Optimization and a course on partial Differential Equations (e.g. PDE classical methods (engineering course), PDE I, Numerical Analysis of PDEs etc.)
Online-Angebote
moodle
Weak solutions of partial differential equations; Linear-quadratic problems with control constraints: existence and uniqueness, first-order necessary conditions, adjoint equations; semilinear problems with control constraints: existence, Nemyzkii operators, first-order necessary and second-order sufficient conditions; algorithms: finite elements in optimal control, semismooth Newton methods, SQP methods
Literatur
Tröltzsch: Optimale Steuerung partieller Differentialgleichungen
Hinze, Pinnau, M. Ulbrich, S. Ulbrich: Optimization with PDE Constraints
Voraussetzungen
recommended: Nonlinear Optimization and a course on partial Differential Equations (e.g. PDE classical methods (engineering course), PDE I, Numerical Analysis of PDEs etc.)
Online-Angebote
moodle
- Lehrende: Anonym
- Lehrende: Stefan Ulbrich
Semester: WT 2018/19