5 citations · 8 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
An SQP method for equality constrained optimization on manifolds
Anton Schiela, Julian Ortiz
We extend the class of SQP methods for equality constrained optimization to the setting of differentiable manifolds. The use of retractions and stratifications allows us to pull ba…