INSTITUTE OF APPLIED MATHEMATICS
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Affiliation: Middle East Technical University
Office: S231
Phone: +90 (312) 210-5607
E-Mail: yucelh\( @ \)metu.edu.tr
Website: http://users.metu.edu.tr/yucelh
Research Interests: PDE Constrained Optimization; Adaptive Finite Element Methods; Discontinuous Galerkin Methods

  • 2017:
    1. Adaptive symmetric interior penalty Galerkin method for boundary control problems. P. Benner and H. Yücel. SIAM J. Numer. Anal., 55(2):1101–1133, 2017. BibTeX | DOI ]
      @article{PBenner_HYucel_2017,
        author        = {P. Benner and H. Y\"ucel},
        title         = {Adaptive symmetric interior penalty {G}alerkin method for boundary control problems},
        journal       = {SIAM J. Numer. Anal.},
        year          = {2017},
        volume        = {55},
        number        = {2},
        pages         = {1101--1133},
        doi           = {10.1137/15M1034507}
      }
      
      
    2. Optimal Control of Convective FitzHugh-Nagumo Equation. M. Uzunca, T. Küçükseyhan, H. Yücel and B.Karasözen. Comput. Math. Appl., 73(9):2151–2169, 2017. BibTeX | DOI ]
      @article{MUzunca_TKucukseyhan_HYucel_Bkarasozen_2016,
        author        = {M. Uzunca and T. K\"u\c{c}\"ukseyhan and H. Y\"ucel and B.Karas\"ozen},
        title         = {Optimal Control of Convective {F}itzHugh-{N}agumo Equation},
        year          = {2017},
        journal       = {Comput. Math. Appl.},
        volume        = {73},
        number        = {9},
        pages         = {2151--2169},
        doi           = {https://doi.org/10.1016/j.camwa.2017.02.028}
      }
      
      
  • 2015:
    1. A discontinous Galerkin method for optimal control problems governed by a system of convection-diffusion PDEs with nonlinear reaction terms. H. Yücel, M. Stoll and P. Benner. Comput. Math. Appl., 70(10):2414–2431, 2015. BibTeX | DOI ]
      @article{HYucel_MStoll_PBenner_2015b,
        author        = {H. Y\"ucel and M. Stoll and P. Benner},
        title         = {A discontinous {G}alerkin method for optimal control problems governed by a system of convection-diffusion {PDEs} with nonlinear reaction terms},
        year          = {2015},
        journal       = {Comput. Math. Appl.},
        volume        = {70},
        number        = {10},
        pages         = {2414--2431},
        doi           = {https://doi.org/10.1016/j.camwa.2015.09.006}
      }
      
      
    2. Adaptive discontinuous Galerkin methods for state constrained optimal control problems governed by convection diffusion equations. H. Yücel and P. Benner. Comput. Optim. Appl., 62:291-321, 2015. BibTeX | DOI ]
      @article{HYucel_PBenner_2015a,
        author        = {H. Y\"ucel and P. Benner},
        title         = {Adaptive discontinuous {G}alerkin methods for state constrained optimal control problems governed by convection diffusion equations},
        journal       = {Comput. Optim. Appl.},
        year          = {2015},
        volume        = {62},
        issue         = {1},
        pages         = {291-321},
        doi           = {10.1007/s10589-014-9691-7}
      }
      
      
    3. Distributed optimal control problems governed by coupled convection dominated PDEs with control constraints. H. Yücel and P. Benner. In Numerical Mathematics and Advanced Applications - ENUMATH 2013. Springer International Publishing, Lecture Notes in Computational Science and Engineering 103, pp. 469–478, 2015. BibTeX | DOI ]
      @inproceedings{HYucel_PBenner_2015,
        author        = {H. Y\"ucel and P. Benner},
        title         = {Distributed optimal control problems governed by coupled convection dominated PDEs with control constraints},
        booktitle     = {Numerical Mathematics and Advanced Applications - ENUMATH 2013},
        publisher     = {Springer International Publishing},
        volume        = {103},
        series        = {Lecture Notes in Computational Science and Engineering},
        editor        = {Abdulle, Assyr and Deparis, Simone and Kressner, Daniel and Nobile, Fabio and Picasso, Marco},
        pages         = {469--478},
        year          = {2015},
        doi           = {10.1007/978-3-319-10705-9_46}
      }
      
      
  • 2014:
    1. Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization. Z.K. Seymen, H. Yücel and B. Karasözen. J. Comput. Appl. Math., 2610:146–157, 2014. BibTeX | DOI ]
      @article{ZKSeymen_HYucel_BKarasozen_2014,
        author        = {Seymen, Z. K. and Y\"ucel, H. and Karas\"ozen, B.},
        title         = {Distributed optimal control of time-dependent diffusion-convection-reaction equations using space-time discretization},
        journal       = {J. Comput. Appl. Math.},
        volume        = {261},
        number        = {0},
        pages         = {146--157},
        year          = {2014},
        doi           = {10.1016/j.cam.2013.11.006}
      }
      
      
    2. A priori error analysis of the upwind symmetric interior penalty Galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations. T. Akman, H. Yücel and B. Karasözen. Comput. Optim. Appl., 57:703–729, 2014. BibTeX | DOI ]
      @article{TAkman_HYucel_BKarasozen_2014,
        author        = {T. Akman and H. Y\"ucel and B. Karas\"{o}zen},
        title         = {A priori error analysis of the upwind symmetric interior penalty {G}alerkin {(SIPG)} method for the optimal control problems governed by unsteady convection diffusion equations},
        journal       = {Comput. Optim. Appl.},
        pages         = {703--729},
        year          = {2014},
        volume        = {57},
        issue         = {3},
        doi           = {10.1007/s10589-013-9601-4}
      }
      
      
    3. Adaptive symmetric interior penalty Galerkin (SIPG) method for optimal control of convection diffusion equations with control constraints. H. Yücel and B. Karasözen. Optimization, 63:145–166, 2014. BibTeX | DOI ]
      @article{HYucel_BKarasozen_2014,
        author        = {H. Y\"ucel and B. Karas\"{o}zen},
        title         = {Adaptive symmetric interior penalty {G}alerkin {(SIPG)} method for optimal control of convection diffusion equations with control constraints},
        journal       = {Optimization},
        pages         = {145--166},
        year          = {2014},
        volume        = {63},
        doi           = {10.1080/02331934.2013.801474}
      }
      
      
  • 2013:
    1. Discontinuous Galerkin finite element methods with shock-capturing for nonlinear convection dominated models. H. Yücel, M. Stoll and P. Benner. Comput. Chem. Eng., 58:278–287, 2013. BibTeX | DOI ]
      @article{HYucel_MStoll_PBenner_2013,
        author        = {H. Y\"ucel and M. Stoll and P. Benner},
        title         = {Discontinuous {G}alerkin finite element methods with shock-capturing for nonlinear convection dominated models},
        journal       = {Comput. Chem. Eng.},
        volume        = {58},
        pages         = {278--287},
        year          = {2013},
        doi           = {https://doi.org/10.1016/j.compchemeng.2013.07.011}
      }
      
      
    2. Optimal control of diffusion-convection-reaction equations using upwind symmetric interior penalty Galerkin (SIPG) method. B. Karasözen and H. Yücel. In Chaos and Complex Systems: Proceedings of the 4th International Interdisciplinary Chaos Symposium, Springer Berlin Heidelberg, pp. 83–94, 2013. BibTeX | DOI ]
      @inbook{BKarasozen_Hyucel_2013,
        author        = {Karas{\"o}zen, B{\"u}lent and H. Y{\"u}cel},
        editor        = {Stavrinides, Stavros G. and Banerjee, Santo and Caglar, Suleyman Hikmet and Ozer, Mehmet},
        title         = {Optimal control of diffusion-convection-reaction equations using upwind symmetric interior penalty {G}alerkin ({SIPG}) method},
        booktitle     = {Chaos and Complex Systems: Proceedings of the 4th International Interdisciplinary Chaos Symposium},
        year          = {2013},
        publisher     = {Springer Berlin Heidelberg},
        address       = {Berlin, Heidelberg},
        pages         = {83--94},
        isbn          = {978-3-642-33914-1},
        doi           = {10.1007/978-3-642-33914-1_11}
      }
      
      
    3. Distributed optimal control of diffusion-convection-reaction equations using discontinuous Galerkin methods. H. Yücel, M. Heinkenschloss and B. Karasözen. In Numer. Math. Adv. Appl. 2011. Springer, Berlin, pp. 389–397, 2013. BibTeX | DOI ]
      @inproceedings{HYucel_MHeinkenschloss_BKarasozen_2013,
        author        = {H. Y\"ucel and M. Heinkenschloss and B. Karas\"{o}zen},
        title         = {Distributed optimal control of diffusion-convection-reaction equations using discontinuous {G}alerkin methods},
        booktitle     = {Numer. Math. Adv. Appl. 2011},
        publisher     = {Springer, Berlin},
        pages         = {389--397},
        year          = {2013},
        doi           = {10.1007/978-3-642-33134-3_42}
      }
      
      
  • 2012:
    1. Adaptive discontinuous Galerkin methods for convection dominated optimal control problems. H. Yücel. PhD thesis, Middle East Technical University, 2012. BibTeX ]
      @phdthesis{Yuecel2012,
        author        = {Hamdullah Yücel},
        title         = {Adaptive discontinuous Galerkin methods for convection dominated optimal control problems},
        school        = {Middle East Technical University},
        year          = {2012},
        address       = {Scientific Computing, Institute of Applied Mathematics, Middle East Technical University}
      }
      
      
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