Friday, 15:15 - 15:40 h, Room: H 0111

 

Markus Kollmann
Robust iterative solvers for a class of PDE-constrained optimization problems

Coauthor: Walter Zulehner

 

Abstract:
In this talk we discuss the construction and analysis of robust solution techniques for saddle point problems with a natural block 2-by-2 structure where the left upper and the right lower block are different mass matrices. For these systems, solvers are discussed. Saddle point systems of this structure are, e.g., optimality systems of optimal control problems where the observation domain differs from the control domain or the linearized systems resulting after applying a semi-smooth Newton method to the nonlinear optimality systems of optimal control problems with inequality constraints on the control or the state. As examples we discuss the distributed elliptic optimal control problem and the distributed optimal control problem for the Stokes equations.
Numerical examples are given which illustrate the theoretical results.

 

Talk 1 of the invited session Fri.3.H 0111
"Preconditioning in PDE constrained optimization" [...]
Cluster 19
"PDE-constrained optimization & multi-level/multi-grid methods" [...]

 

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