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Numerical approximation of elliptic control problems with finitely many pointwise constraints

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  • Eduardo Casas
  • Mariano Mateos

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  • Eduardo Casas & Mariano Mateos, 2012. "Numerical approximation of elliptic control problems with finitely many pointwise constraints," Computational Optimization and Applications, Springer, vol. 51(3), pages 1319-1343, April.
    • Handle: RePEc:spr:coopap:v:51:y:2012:i:3:p:1319-1343
    DOI: 10.1007/s10589-011-9394-2
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    References listed on IDEAS

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    1. Karátson, János & Korotov, Sergey & Křížek, Michal, 2007. "On discrete maximum principles for nonlinear elliptic problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 99-108.
    2. S. Cherednichenko & A. Rösch, 2009. "Error estimates for the discretization of elliptic control problems with pointwise control and state constraints," Computational Optimization and Applications, Springer, vol. 44(1), pages 27-55, October.
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    Cited by:

    1. Dmitriy Leykekhman & Dominik Meidner & Boris Vexler, 2013. "Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints," Computational Optimization and Applications, Springer, vol. 55(3), pages 769-802, July.
    2. Mariano Mateos & Ira Neitzel, 2016. "Dirichlet control of elliptic state constrained problems," Computational Optimization and Applications, Springer, vol. 63(3), pages 825-853, April.
    3. Dante Kalise & Karl Kunisch & Zhiping Rao, 2017. "Infinite Horizon Sparse Optimal Control," Journal of Optimization Theory and Applications, Springer, vol. 172(2), pages 481-517, February.
    4. 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.

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