Department of Mathematics
College of Liberal Arts & Sciences
Wayne State University

Fatih Celiker

Associate Professor of Mathematics

656 W. Kirby, Detroit, MI 48202
celiker@wayne.edu

Positions

Wayne State University, Detroit, MI: 2012-Present, Associate Professor, Department of Mathematics.

Wayne State University, Detroit, MI: 2006-12, Assistant Professor, Department of Mathematics.

Stanford University, Stanford, CA: 2005-06, Postdoctoral Scholar, Institute for Computational and Mathematical Engineering.

University of Minnesota, Minneapolis, MN: 2000-05, Teaching and Research Assistant, Department of Mathematics.

Army high performance computing and research center (AHPCRC), Minneapolis, MN: 2003-05, Research Assistant.

Bogazici University, Istanbul, Turkey: 1998-2000, Teaching Assistant, Department of Mathematics.


Education

University of Minnesota, Minneapolis, MN, 2000-05. Ph.D. in Mathematics. Advisor: Bernardo  Cockburn

Bogazici University, Istanbul, Turkey, 1998-00. M.S. in Mathematics.

Bogazici University, Istanbul, Turkey, 1993-98. B.S. in Mathematics Education.


Research Interests

Numerical analysis; Analysis and implementation of discontinuous Galerkin methods for solid and structural mechanics; Superconvergence phenomena; Scientific computing; Nonlocal problems and peridynamics.


Publications in Refereed Journals

25. B. Aksoylu, F. Celiker, and O. Kilicer, Nonlocal operators with local boundary conditions in higher dimensions, submitted.

24. M.F. Karaaslan, F. Celiker, and M. Kurulay, A hybridizable discontinuous Galerkin method for a class of fractional boundary value problems, to appear in J. of Computational and Applied Mathematics.

23. H. Zhu and F. Celiker, Nodal superconvergence of the LDG method for singularly perturbed problems, J. Computational and Applied Mathematics, 330 (2018), 95-116, doi.

22. B. Aksoylu, H. Beyer, and F. Celiker, Theoretical foundations of incorporating local boundary conditions into nonlocal problems, Reports on Mathematical Physics, 80(1) (2017), 39-71, doi.

21. B. Aksoylu, H. Beyer, and F. Celiker, Application and implementation of incorporating local boundary conditions into nonlocal problems, J. Numerical Functional Analysis and Optimization, 38(9) (2017), 1077-1114, doi.

20. B. Aksoylu and F. Celiker, Nonlocal problems with local Dirichlet and Neumann boundary conditions, J. of Mechanics of Materials and Structures, 12(4) (2017), 425-437, doi.

19. M.F. Karaaslan, F. Celiker, and M. Kurulay, Approximate solution of the Bagley-Torvik equations by hybridizable discontinuous Galerkin methods, Applied Mathematics and Computation, 285 (2016), 51-58, doi.

18. H. Zhu and F. Celiker, Error Analysis of an HDG method for a distributed optimal control problem, J. of Computational and Applied Mathematics, 307 (2016), 2-12, doi.

17. H. Beyer, B. Aksoylu, and F. Celiker, On a class of nonlocal wave equations from applications, J. of Mathematical Physics, 57, 062902 (2016), doi.

16. F. Celiker and L. Fan, HDG methods for Naghdi arches, J. Sci. Comput., (2014)59, 217-246, doi.

15. F. Celiker, L. Fan, S. Zhang, and Z. Zhang, Locking-free optimal discontinuous Galerkin methods for a Naghdi-type arch model, J. Sci. Comp., 52(2012), 49-84, doi.

14. F. Celiker, B. Cockburn, and K. Shi, A projection-based error analysis of HDG methods for Timoshenko beams, Math. Comp., 81(2012), 131-151, doi.

13. F. Celiker, Z. Zhang, and H. Zhu, Nodal superconvergence of SDFEM for singularly perturbed problems, J. Sci. Comp., 2012(50), 405-433, doi.

12. E. Celebi, H. Kingravi, and F. Celiker, Comments on "On approximating Euclidean metrics by weighted t-Cost distances in arbitrary dimension", Pattern Recognition Letters, 33(2012), 1422-1425, doi.

11. F. Celiker, L. Fan, and Z. Zhang, Element-by-element post-processing of discontinuous Galerkin methods for Naghdi arches, Int. J. of Numer. Anal. and Model, 8(2011) 391-409, doi.

10. H. Farhat, F. Celiker, T. Singh, J.S. Lee, A hybrid lattice Boltzmann model for surfactant-covered droplets, Soft Matter, 7(2011), 1968-1985, doi.

9. E. Celebi, F. Celiker, and H. Kingravi, On Euclidean norms, Pattern Recognition, 44(2011) 278-283, doi.

8. F. Celiker, B. Cockburn, and K. Shi, Hybridizable discontinuous Galerkin methods for Timoshenko beams, J. Sci. Comput., 44(2010), 1-37, doi.

7. E. Celebi, H.A. Kingravi, and F. Celiker, Fast colour space transformations using minimax approximations, IET Image Processing, 4(2010), 70-80, doi.

6. E. Celebi, H. Kingravi, R. Lukac, and F. Celiker, Cost-Effective Implementation of Order-Statistics Based Vector Filters Using Minimax Approximations, Journal of the Optical Society of America, 26(6): 1518-1524, 2009, doi.

5. A.T. Eyck, F. Celiker, and A. Lew, Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Analytical estimates, Comput. Methods Appl. Mech. Engrg. 197 (2008), no. 33-40, 2989-3000, doi.

4. A.T. Eyck, F. Celiker, and A. Lew, Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Motivation, formulation and numerical examples, Comput. Methods Appl. Mech. Engrg. 197 (2008), 3605-3622, doi.

3. F. Celiker and B. Cockburn, Superconvergence of the numerical traces of discontinuous Galerkin and hybridized methods for convection-diffusion problems in one space dimension, Math. Comp., 76(2007), 67-96, doi.

2. F. Celiker, B. Cockburn, and H.K. Stolarski, Locking-free optimal discontinuous Galerkin methods for Timoshenko beams, SIAM J. Numer. Anal., 44(2006), 2297-2325, doi.

1. F. Celiker and B. Cockburn, Element-by-element postprocessing of discontinuous Galerkin methods for Timoshenko beams, J. Sci. Comput., 27(2006), 177-187, doi.
  

Book Chapters

1 . B. Aksoylu, F. Celiker, and O. Kilicer, Nonlocal operators with local boundary conditions: an overview, to appear in  Handbook of Nonlocal Continuum Mechanics for Materials and Structures, Springer.

Peer-reviewed Conference Proceedings

3. B. Aksoylu and F. Celiker, Comparison of nonlocal operators utilizing nonlocal perturbation analysis. In: B. Karasozen et al. (ed.) Numerical Mathematics and Advanced Applications ENUMATH 2015, Lecture Notes in Computational Science and Engineering, vol. 112, 589--606. Springer (2016), doi.

2. M. E. Celebi, H. Kingravi, and F. Celiker, Accelerating Color Space Transformations Using Numerical Approximations, in Proc. IEEE Int. Conf. on Image Processing (ICIP 2010), 1349-1352, September 26–29 2010, doi.

1. F. Celiker {\em et al}., Discontinuous Galerkin Methods for Timoshenko Beams,
Proceedings of the European Conference on Numerical Mathematics 2003, In: Numerical Mathematics and Advanced Applications: ENUMATH 2003; Editors: M. Feistauer, V. Dolejsi, P. Knobloch, K. Nazjar; Springer, 221-231, 2004, doi.

Ph.D. Thesis

Discontinuous Galerkin Methods for Structural Mechanics, School of Mathematics, University of Minnesota, Minneapolis, MN, 2005. 


Awards and Honors

National Science Foundation Grant, DMS-1115280: Hybridizable discontinuous Galerkin methods for higher order partial differential equations, 9/1/2011-8/31/2014, $135,514.

Wayne State University, College of Liberal Arts and Sciences Excellence in Teaching Award, 2010.

Institute of Mathematics and its Applications (IMA) General Membership Award, 9/1/10-12/31/10, $9,300.

Young Researcher Fellowship Award, Third MIT Conference on Computational Fluid and Solid Mechanics, 2005.