Thursday, 14:15 - 14:40 h, Room: MA 415

 

Florian Kruse
An infeasible interior point method for optimal control problems with state constraints

Coauthor: Michael Ulbrich

 

Abstract:
We present an infeasible interior point method for pointwise state
constrained optimal control problems with elliptic PDEs. A smoothed
constraint violation functional is used to develop a self-concordant
barrier approach in an infinite-dimensional setting.
For the resulting algorithm we provide a detailed convergence analysis
in function space. This includes a rate of convergence and a rigorous
measure for the proximity of the actual iterate to both the path of
minimizers and the solution of the problem.
Moreover, we report on numerical experiments to illustrate the
efficiency and the mesh independence of this algorithm.

 

Talk 3 of the invited session Thu.2.MA 415
"Theory and methods for PDE-constrained optimization problems with inequalities" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]

 

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