Adaptive Multilevel Inexact SQP Methods for PDE-Constrained Optimization

@article{Ziems2011AdaptiveMI,
  title={Adaptive Multilevel Inexact SQP Methods for PDE-Constrained Optimization},
  author={J. Carsten Ziems and Stefan Ulbrich},
  journal={SIAM Journal on Optimization},
  year={2011},
  volume={21},
  pages={1-40}
}
We present a class of inexact adaptive multilevel trust-region SQP-methods for the efficient solution of optimization problems governed by nonlinear partial differential equations. The algorithm starts with a coarse discretization of the underlying optimization problem and provides during the optimization process 1) implementable criteria for an adaptive refinement strategy of the current discretization based on local error estimators and 2) implementable accuracy requirements for iterative… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 28 CITATIONS

A Matrix-Free Trust-Region SQP Method for Equality Constrained Optimization

  • SIAM Journal on Optimization
  • 2014
VIEW 4 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

References

Publications referenced by this paper.
SHOWING 1-10 OF 35 REFERENCES

Borz̀ı, Multigrid optimization methods for linear and bilinear elliptic optimal control

A. M. Vallejos
  • problems, Computing,
  • 2008
VIEW 2 EXCERPTS

Smoothers for controland stateconstrained optimal control problems

A. Borz̀ı, K. Kunisch
  • Comput . Vis . Sci .
  • 2008

Similar Papers

Loading similar papers…