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Fatih Celiker
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Superconvergence of the numerical traces of discontinuous Galerkin and hybridized methods for convection-diffusion problems in one space dimension
F Celiker, B Cockburn
Mathematics of computation 76 (257), 67-96, 2007
1352007
Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: motivation, formulation, and numerical examples
A Ten Eyck, F Celiker, A Lew
Computer Methods in Applied Mechanics and Engineering 197 (45-48), 3605-3622, 2008
592008
On Euclidean norm approximations
ME Celebi, F Celiker, HA Kingravi
Pattern Recognition 44 (2), 278-283, 2011
542011
Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: analytical estimates
A Ten Eyck, F Celiker, A Lew
Computer methods in applied mechanics and engineering 197 (33-40), 2989-3000, 2008
502008
Locking-free optimal discontinuous Galerkin methods for Timoshenko beams
F Celiker, B Cockburn, HK Stolarski
SIAM Journal on Numerical Analysis 44 (6), 2297-2325, 2006
432006
Approximate solution of the Bagley–Torvik equation by hybridizable discontinuous Galerkin methods
MF Karaaslan, F Celiker, M Kurulay
Applied Mathematics and Computation 285, 51-58, 2016
352016
Hybridizable discontinuous Galerkin methods for Timoshenko beams
F Celiker, B Cockburn, K Shi
Journal of Scientific Computing 44 (1), 1-37, 2010
342010
On a class of nonlocal wave equations from applications
HR Beyer, B Aksoylu, F Celiker
Journal of Mathematical Physics 57 (6), 2016
302016
Nonlocal problems with local Dirichlet and Neumann boundary conditions
B Aksoylu, F Celiker
Journal of Mechanics of Materials and Structures 12 (4), 425-437, 2017
252017
Fast colour space transformations using minimax approximations
ME Celebi, HA Kingravi, F Celiker
IET Image Processing 4 (2), 70-80, 2010
232010
Application and implementation of incorporating local boundary conditions into nonlocal problems
B Aksoylu, HR Beyer, F Celiker
Numerical Functional Analysis and Optimization 38 (9), 1077-1114, 2017
222017
A projection-based error analysis of HDG methods for Timoshenko beams
F Celiker, B Cockburn, K Shi
Mathematics of Computation 81 (277), 131-151, 2012
222012
Element-by-element post-processing of discontinuous Galerkin methods for Timoshenko beams
F Celiker, B Cockburn
Journal of Scientific Computing 27, 177-187, 2006
212006
Theoretical foundations of incorporating local boundary conditions into nonlocal problems
B Aksoylu, HR Beyer, F Celiker
Reports on Mathematical Physics 80 (1), 39-71, 2017
202017
Nonlocal operators with local boundary conditions in higher dimensions
B Aksoylu, F Celiker, O Kilicer
Advances in Computational Mathematics 45, 453-492, 2019
182019
Nonlocal operators with local boundary conditions: an overview
B Aksoylu, F Celiker, O Kilicer
Handbook of nonlocal continuum mechanics for materials and structures, 1293-1330, 2019
162019
Nodal superconvergence of SDFEM for singularly perturbed problems
F Celiker, Z Zhang, H Zhu
Journal of Scientific Computing 50, 405-433, 2012
152012
Error analysis of an HDG method for a distributed optimal control problem
H Zhu, F Celiker
Journal of Computational and Applied Mathematics 307, 2-12, 2016
112016
Comparison of nonlocal operators utilizing perturbation analysis
B Aksoylu, F Celiker
Numerical Mathematics and Advanced Applications ENUMATH 2015, 589-606, 2016
102016
Higher order collocation methods for nonlocal problems and their asymptotic compatibility
B Aksoylu, F Celiker, GA Gazonas
Communications on Applied Mathematics and Computation 2 (2), 261-303, 2020
72020
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