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A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints

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  • Olaf Benedix
  • Boris Vexler

Abstract

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Suggested Citation

  • Olaf Benedix & Boris Vexler, 2009. "A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints," Computational Optimization and Applications, Springer, vol. 44(1), pages 3-25, October.
    • Handle: RePEc:spr:coopap:v:44:y:2009:i:1:p:3-25
    DOI: 10.1007/s10589-008-9200-y
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    Citations

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    Cited by:

    1. Jianwei Zhou & Danping Yang, 2015. "Legendre–Galerkin spectral methods for optimal control problems with integral constraint for state in one dimension," Computational Optimization and Applications, Springer, vol. 61(1), pages 135-158, May.
    2. Francisco Fuica & Enrique Otárola, 2022. "A Posteriori Error Estimates for an Optimal Control Problem with a Bilinear State Equation," Journal of Optimization Theory and Applications, Springer, vol. 194(2), pages 543-569, August.
    3. S. Frei & H. Andrä & R. Pinnau & O. Tse, 2015. "Optimizing fiber orientation in fiber-reinforced materials using efficient upscaling," Computational Optimization and Applications, Springer, vol. 62(1), pages 111-129, September.
    4. A. Rösch & K. G. Siebert & S. Steinig, 2017. "Reliable a posteriori error estimation for state-constrained optimal control," Computational Optimization and Applications, Springer, vol. 68(1), pages 121-162, September.
    5. Hamdullah Yücel & Peter Benner, 2015. "Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations," Computational Optimization and Applications, Springer, vol. 62(1), pages 291-321, September.
    6. Malte Braack & Martin F. Quaas & Benjamin Tews & Boris Vexler, 2018. "Optimization of Fishing Strategies in Space and Time as a Non-convex Optimal Control Problem," Journal of Optimization Theory and Applications, Springer, vol. 178(3), pages 950-972, September.
    7. Sven Leyffer & Paul Manns & Malte Winckler, 2021. "Convergence of sum-up rounding schemes for cloaking problems governed by the Helmholtz equation," Computational Optimization and Applications, Springer, vol. 79(1), pages 193-221, May.

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