Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Fatih Celiker"'
Autor:
Burak Aksoylu, Fatih Celiker
We study the incompressible Navier-Stokes equations using the Projection Method. The applications of interest are the classical channel flow problems such as Couette, shear, and Poiseuille. In addition, we consider the Taylor-Green vortex and lid-dri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f815ff575e63adf7d6221a4f638ffe5
https://doi.org/10.21203/rs.3.rs-2527370/v1
https://doi.org/10.21203/rs.3.rs-2527370/v1
Publikováno v:
Communications on Applied Mathematics and Computation. 2:261-303
We study the convergence and asymptotic compatibility of higher order collocation methods for nonlocal operators inspired by peridynamics, a nonlocal formulation of continuum mechanics. We prove that the methods are optimally convergent with respect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c78af17783b23a662ae52a169e9fbb28
https://doi.org/10.1007/s42967-019-00051-8
https://doi.org/10.1007/s42967-019-00051-8
Publikováno v:
Advances in Computational Mathematics. 45:453-492
We present novel nonlocal governing operators in 2D/3D for wave propagation and diffusion. The operators are inspired by peridynamics. They agree with the original peridynamics operator in the bulk of the domain and simultaneously enforce local bound
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f76711c3da8a389a280981d57d3cc702
https://doi.org/10.1007/s10444-018-9624-6
https://doi.org/10.1007/s10444-018-9624-6
Publikováno v:
Journal of Computational and Applied Mathematics. 333:20-27
In this paper, we present a hybridizable discontinuous Galerkin (HDG) method for solving a class of fractional boundary value problems involving Caputo derivatives. The HDG methods have the computational advantage of eliminating all internal degrees
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c8de3a69ffce5a0e0453f3b0391bcc1
https://doi.org/10.1016/j.cam.2017.09.043
https://doi.org/10.1016/j.cam.2017.09.043
Autor:
Fatih Celiker, Huiqing Zhu
Publikováno v:
Journal of Computational and Applied Mathematics. 330:95-116
In this paper, a superconvergence of order ( ln N ∕ N ) 2 k + 1 for the numerical traces of the LDG approximation to a one dimensional singularly perturbed convection–diffusion–reaction problem is proved. The LDG method is applied on a Shishkin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::28210dc05ef30650de62718a7dbb7b30
https://doi.org/10.1016/j.cam.2017.07.031
https://doi.org/10.1016/j.cam.2017.07.031
Publikováno v:
Reports on Mathematical Physics. 80:39-71
We study nonlocal equations from the area of peridynamics on bounded domains. We present four main results. In our recent paper, we have discovered that, on R, the governing operator in peridynamics, which involves a convolution, is a bounded functio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2caa2fb347ff172841bb0aa4b561fc7e
https://doi.org/10.1016/s0034-4877(17)30061-7
https://doi.org/10.1016/s0034-4877(17)30061-7
Autor:
Burak Aksoylu, Fatih Celiker
Publikováno v:
Journal of Mechanics of Materials and Structures. 12:425-437
We present novel governing operators in the theory of peridynamics (PD) which will allow the extension of PD to applications that require local boundary conditions (BC). Due to its nonlocal nature, the original PD governing operator uses nonlocal BC.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4fb82e61b67d08358c7dd66700f6c211
https://doi.org/10.2140/jomms.2017.12.425
https://doi.org/10.2140/jomms.2017.12.425
Autor:
Huiqing Zhu, Fatih Celiker
Publikováno v:
Journal of Computational and Applied Mathematics. 307:2-12
In this paper, we present a priori error analysis of a hybridizable discontinuous Galerkin (HDG) method for a distributed optimal control problem governed by diffusion equations. The error estimates are established based on the projection-based appro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::99ad0c19fda06280cb26b37fc20b161a
https://doi.org/10.1016/j.cam.2016.04.032
https://doi.org/10.1016/j.cam.2016.04.032
Publikováno v:
Handbook of Nonlocal Continuum Mechanics for Materials and Structures ISBN: 9783319229775
Handbook of Nonlocal Continuum Mechanics for Materials and Structures
Handbook of Nonlocal Continuum Mechanics for Materials and Structures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8fb069664b89a422d1bb8c9d673bf21d
https://doi.org/10.1007/978-3-319-58729-5_34
https://doi.org/10.1007/978-3-319-58729-5_34
We study nonlocal equations from the area of peridynamics, an instance of nonlocal wave equation, and nonlocal diffusion on bounded domains whose governing equations contain a convolution operator based on integrals. We generalize the notion of convo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0ade86ff5bd0e2cc7cd2dd2fcc476eba
https://aperta.ulakbim.gov.tr/record/50815
https://aperta.ulakbim.gov.tr/record/50815