F
Fredi Tröltzsch
Researcher at Technical University of Berlin
Publications - 158
Citations - 5842
Fredi Tröltzsch is an academic researcher from Technical University of Berlin. The author has contributed to research in topics: Optimal control & Pointwise. The author has an hindex of 36, co-authored 156 publications receiving 5247 citations. Previous affiliations of Fredi Tröltzsch include Chemnitz University of Technology & University of Hamburg.
Papers
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Error estimates for the discretization of state constrained convex control problems
D. Tiba,Fredi Tröltzsch +1 more
TL;DR: In this article, error estimates for discretization of state constrained convex control problems are provided for the discretisation of state-constrained convex convex problems.
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Second Order Sufficient Optimality Conditions for a Nonlinear Elliptic Boundary Control Problem
TL;DR: In this article, sufficient second order optimality conditions are established for optimal control problems governed by a linear elliptic equation with nonlinear boundary condition, where pointwise constraints on the control are given.
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Second Order and Stability Analysis for Optimal Sparse Control of the FitzHugh--Nagumo Equation
TL;DR: Optimal sparse control problems are considered for the FitzHugh--Nagumo system including the so-called Schlogl model and a theory of second order sufficient optimality conditions is established for Tikhonov regularization parameter $
u>0$ and also for the case of 0$.
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The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
TL;DR: A primal interior point method for state-constrained PDE optimal control problems in function space is addressed by a Lavrentiev regularization, and existence and convergence of the central path are established, and linear convergence of a short-step pathfollowing method is shown.
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On the Lagrange--Newton--SQP Method for the Optimal Control of Semilinear Parabolic Equations
TL;DR: Based on a weak second order sufficient optimality condition for the reference solution, local quadratic convergence is proved and the proof is based on the theory of Newton methods for generalized equations in Banach spaces.