Hamdullah Yücel

E-mail
yucelh@metu.edu.tr
Department
Graduate School of Applied Mathematics
Scopus Author ID
Web of Science Researcher ID
Stochastic discontinuous Galerkin methods for robust deterministic control of convection-diffusion equations with uncertain coefficients
Çiloğlu, Pelin; Yücel, Hamdullah (2023-04-01)
We investigate a numerical behavior of robust deterministic optimal control problem subject to a convection-diffusion equation containing uncertain inputs. Stochastic Galerkin approach, turning the original optimization pr...
A stochastic gradient algorithm with momentum terms for optimal control problems governed by a convection–diffusion equation with random diffusivity
Toraman, Sıtkı Can; Yücel, Hamdullah (2023-04-01)
In this paper, we focus on a numerical investigation of a strongly convex and smooth optimization problem subject to a convection–diffusion equation with uncertain terms. Our approach is based on stochastic approximation w...
Solving Optimal Control Problems Containing Uncertainty
Yücel, Hamdullah; Çiloğlu, Pelin (2022-08-29)
Solving PDE-constrained optimization problems containing random coefficients
Yücel, Hamdullah (2022-05-18)
Stochastic Discontinuous Galerkin Methods for Robust Deterministic Control of Convection Diffusion Equations with Uncertain Coefficients,
Çiloğlu, Pelin; Yücel, Hamdullah (2022-04-12)
Solving Optimal Control Problems Containing Uncertain Coefficients with Stochastic Discontinuous Galerkin Methods
Çiloğlu, Pelin; Yücel, Hamdullah (2022-04-08)
Stochastic Discontinuous Galerkin Methods for Robust Deterministic Optimal Control
Çiloğlu, Pelin; Yücel, Hamdullah (2022-03-25)
Stochastic discontinuous Galerkin methods with low–rank solvers for convection diffusion equations
Çiloğlu, Pelin; Yücel, Hamdullah (2022-02-01)
We investigate numerical behaviour of a convection diffusion equation with random coefficients by approximating statistical moments of the solution. Stochastic Galerkin approach, turning the original stochastic problem to ...
Stochastic Discontinuous Galerkin Methods with Low-Rank Solvers for Convection Diffusion Equations
Çiloğlu, Pelin; Yücel, Hamdullah (2021-09-06)
To simulate complex kinds of behavior in physical systems, one makes predictions and hypotheses about certain outputs of interest with the help of simulation of mathematical models. However, due to the lack of knowledge or...
Residual based a posteriori error estimation for Dirichlet boundary control problems
Yücel, Hamdullah (2021-09-01)
We study a residual–based a posteriori error estimate for the solution of Dirichlet boundary control problem governed by a convection diffusion equation on a two dimensional convex polygonal domain, using the local discont...
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