Multigoal-oriened error control for optimal control problems

DI Bernhard Endtmayer BSc

June 4, 2019, 3:30 p.m. S2 416-1

In this presentation, we consider an optimal control problem subject to
a nonlinear PDE
constraint such as the p-Laplace equation. We are interested in a
posteriori error esti-
mates for multiple quantities of interest. We combine all quantities to
one and apply the
dual-weighted residual (DWR) method to this combined functional. These a
posteriori
error estimates are then used for mesh adaptivity. In addition, the
estimator allows for
balancing the discretization error and the nonlinear iteration error.
Several numerical
examples demonstrate the excellent performance of our approach.
This work has been supported by the Austrian Science Fund (FWF) under
the grant
P 29181Goal-Oriented Error Control for Phase-Field Fracture Coupled to
Multiphysics
Problems in collaboration with the DFG-SPP 1962 Non-smooth and
Complementarity-
Based Distributed Parameter Systems: Simulation and Hierarchical
Optimization.