5 citations · 8 across the 7 of their papers we have counts for
8 papers
Stabilize-then-optimize: Feedback transformations as preconditioners in optimal control
Till Preuster, Manuel Schaller, Anton Schiela +1
Many numerical algorithms for optimal control leverage an elimination of the state via the control-to-state map such as condensed approaches or preconditioned conjugate gradient me…
Inexact Proximal Newton methods in Hilbert spaces
Bastian Pötzl, Anton Schiela, Patrick Jaap
We consider Proximal Newton methods with an inexact computation of update steps. To this end, we introduce two inexactness criteria which characterize sufficient accuracy of these…
Second order semi-smooth Proximal Newton methods in Hilbert spaces
Bastian Pötzl, Anton Schiela, Patrick Jaap
We develop a globalized Proximal Newton method for composite and possibly non-convex minimization problems in Hilbert spaces. Additionally, we impose less restrictive assumptions o…
A primal dual projection algorithm for efficient constraint preconditioning
Anton Schiela, Matthias Stöcklein, Martin Weiser
We consider a linear iterative solver for large scale linearly constrained quadratic minimization problems that arise, for example, in optimization with PDEs. By a primal-dual proj…
Abstract nonlinear sensitivity and turnpike analysis and an application to semilinear parabolic PDEs
Lars Grüne, Manuel Schaller, Anton Schiela
We analyze the sensitivity of the extremal equations that arise from the first order necessary optimality conditions of nonlinear optimal control problems with respect to perturbat…
Efficient Model Predictive Control for Parabolic PDEs with Goal Oriented Error Estimation
Lars Grüne, Manuel Schaller, Anton Schiela
We show how a posteriori goal oriented error estimation can be used to efficiently solve the subproblems occurring in a Model Predictive Control (MPC) algorithm. In MPC, only an in…