Convergence and regularization results for optimal control problems with sparsity functional

@inproceedings{Wachsmuth2009ConvergenceAR,
  title={Convergence and regularization results for optimal control problems with sparsity functional},
  author={D. Wachsmuth G. Wachsmuth},
  year={2009}
}
  • D. Wachsmuth G. Wachsmuth
  • Published 2009
Abstract. Optimal control problems with convex but non-smooth cost functional are considered. The non-smoothness arises from a L-norm in the objective functional, which recently attracted much research effort in the context of inverse problems. The problem is regularized to permit the use of semi-smooth Newton method. Error estimates with respect to the regularization parameter are provided. Moreover, finite element approximations are studied. A-priori as well as a-posteriori error estimates… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 22 references

A new stopping criterion for iterative solvers for control constrained optimal control problems

  • K. Krumbiegel, A. Rösch
  • Archives of Control Sciences,
  • 2008

An a posteriori error analysis of adaptive finite element methods for distributed elliptic control problems with control constraints

  • M. Hintermüller, R.H.W. Hoppe, Y. Iliash, M. Kieweg
  • ESAIM Control Optim. Calc. Var.,
  • 2008
3 Excerpts

Elliptische Optimalsteuerungsprobleme unter Sparsity-Constraints

  • G. Wachsmuth
  • Diploma thesis, Technische Universität Chemnitz,
  • 2008
1 Excerpt

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