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arXiv · 1608.06771

A priori stopping rule for an iterative Bregman method for optimal control problems

Frank Pörner
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Abstract

In this article we continue our investigation of the iterative regularization method for optimization problems based on Bregman distances. The optimization problems are subject to pointwise inequality constraints in $L^2(\Omega)$. We provide an estimate for the noise error for perturbed data, which can be used to construct an a priori stopping rule. Furthermore we show how to implement our method with a semi-smooth Newton method using finite elements and present numerical results for the stopping rule.

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Frank Pörner. 2016-08-24. A priori stopping rule for an iterative Bregman method for optimal control problems. https://arxiv.org/abs/1608.06771

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