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Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems

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  • M. Hinze
  • C. Meyer

Abstract

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Suggested Citation

  • M. Hinze & C. Meyer, 2010. "Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems," Computational Optimization and Applications, Springer, vol. 46(3), pages 487-510, July.
    • Handle: RePEc:spr:coopap:v:46:y:2010:i:3:p:487-510
    DOI: 10.1007/s10589-008-9198-1
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    Citations

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    Cited by:

    1. Klaus Krumbiegel & Ira Neitzel & Arnd Rösch, 2012. "Regularization for semilinear elliptic optimal control problems with pointwise state and control constraints," Computational Optimization and Applications, Springer, vol. 52(1), pages 181-207, May.
    2. B. Jadamba & A. Khan & M. Sama, 2017. "Error estimates for integral constraint regularization of state-constrained elliptic control problems," Computational Optimization and Applications, Springer, vol. 67(1), pages 39-71, May.
    3. Bui Trong Kien & Arnd Rösch & Nguyen Hai Son & Nguyen Van Tuyen, 2023. "FEM for Semilinear Elliptic Optimal Control with Nonlinear and Mixed Constraints," Journal of Optimization Theory and Applications, Springer, vol. 197(1), pages 130-173, April.
    4. Veronika Karl & Daniel Wachsmuth, 2018. "An augmented Lagrange method for elliptic state constrained optimal control problems," Computational Optimization and Applications, Springer, vol. 69(3), pages 857-880, April.
    5. Veronika Karl & Ira Neitzel & Daniel Wachsmuth, 2020. "A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems," Computational Optimization and Applications, Springer, vol. 77(3), pages 831-869, December.
    6. 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.
    7. Martin Seydenschwanz, 2015. "Convergence results for the discrete regularization of linear-quadratic control problems with bang–bang solutions," Computational Optimization and Applications, Springer, vol. 61(3), pages 731-760, July.
    8. Wang, Fangyuan & Chen, Chuanjun & Zhou, Zhaojie, 2024. "Integral constraint regularization method for fractional optimal control problem with pointwise state constraint," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    9. 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.

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