Department of
Mathematics
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656 W. Kirby, Detroit, MI 48202 |
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 (coursework only).
Bogazici University, Istanbul, Turkey, 1993-98. B.S. in Teaching Mathematics.
Research Interests
Numerical analysis; Analysis and implementation of discontinuous Galerkin methods for solid and structural mechanics; Superconvergence phenomena; Scientific computing;
16. H. Zhu and F. Celiker, Nodal superconvergence of the LDG method for singularly perturbed problems, submitted.
15. F. Celiker, L. Fan, S. Zhang, and Z. Zhang, Locking-free optimal discontinuous Galerkin methods for a Naghdi-type arch model, to appear in J. Sci. Comp.
14. F. Celiker, Z. Zhang, and H. Zhu, Nodal superconvergence of SDFEM for singularly perturbed problems, to appear in J. Sci. Comp.
13. F. Celiker, B. Cockburn, and K. Shi, A projection-based error analysis of HDG methods for Timoshenko beams, to appear in Math. Comp.
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.
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) 391-409.10. H. Farhat, F. Celiker, T. Singh, J.S. Lee,
A hybrid lattice Boltzmann model for surfactant-covered droplets, Soft Matter, 7(2011), 1968-1985.9. E. Celebi, F. Celiker, and H. Kingravi, On Euclidean norms, Pattern Recognition, 44(2011) 278-283.
8. F. Celiker, B. Cockburn, and K. Shi, Hybridizable discontinuous Galerkin methods for Timoshenko beams, J. Sci. Comput., 44(2010), 1-37.
7. E. Celebi, H.A. Kingravi, and F. Celiker, Fast colour space transformations using minimax approximations, IET Image Processing, 4(2010), 70-80.
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.
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.
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.
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.
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.
1. F. Celiker and B. Cockburn, Element-by-element postprocessing of
discontinuous Galerkin methods for Timoshenko beams, J. Sci. Comput., 27(2006),
177-187.
Conference Proceedings
3. F. Celiker, and B. Cockburn, Superconvergence of $hp$-discontinuous
Galerkin methods for
convection diffusion problems, in Computational fluid and solid mechanics 2005:
Proceedings of the third M.I.T. conference on computational fluid and solid
mechanics, Editor: K.J. Bathe, Elsevier, 140-141, 2005.
2. F. Celiker, B. Cockburn, H.K. Stolarski, and K.K. Tamma, Locking-free
$hp$-discontinuous Galerkin methods for Timoshenko beams, in Computational fluid
and solid mechanics 2005: Proceedings of the third M.I.T. conference on
computational fluid and solid mechanics, Editor: K.J. Bathe, Elsevier, 142-144,
2005.
1. F. Celiker 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, pp.
221-231, 2004
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.
Last updated on 05/07/2012