Multigoal-oriened error control for optimal control problems
DI Bernhard Endtmayer BScJune 4, 2019, 1:30 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 estimates 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.