Fatih Celiker
Professor
1117 Faculty/Administration Bldg.
Website(s)
Department
Fatih Celiker
Research interest(s)/area of expertise
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Numerical analysis
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Scientific computing
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Analysis and implementation of discontinuous Galerkin (DG) and hybridized DG methods
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Superconvergence phenomena
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Peridynamics
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Nonlocal problems
Selected publications
- B. Aksoylu, F. Celiker, and O. Kilicer, Nonlocal operators with local boundary conditions in higher dimensions, Advances in Computational Mathematics, doi
- B. Aksoylu, F. Celiker, and O. Kilicer, Nonlocal operators with local boundary conditions: an overview, Handbook of Nonlocal Continuum Mechanics for Materials and Structures, Springer, doi
- 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
- 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
- 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
- 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
- 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
- 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
- H. Beyer, B. Aksoylu, and F. Celiker, On a class of nonlocal wave equations from applications, J. of Mathematical Physics, 57, 062902 (2016), doi
- F. Celiker and L. Fan, HDG methods for Naghdi arches, J. Sci. Comput., (2014)59, 217-246, doi
- 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
- 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
- F. Celiker, L. Fan, and Z. Zhang, Element-by-element post-processing of discontinuous Galerkin methods for Naghdi arches International Journal of Numerical Analysis and Modeling, 8(2011) 391-409, doi
- 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
- F. Celiker, B. Cockburn, and K. Shi, Hybridizable discontinuous Galerkin methods for Timoshenko beams, J. Sci. Comput., 44(2010), 1-37, doi
- 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
- 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
- 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