Hamdullah Yücel

E-mail
yucelh@metu.edu.tr
Department
Graduate School of Applied Mathematics
Scopus Author ID
Web of Science Researcher ID
Energy dissipation preserving physics informed neural network for Allen–Cahn equations
Kütük, Mustafa; Yücel, Hamdullah (2025-05-01)
This paper investigates a numerical solution of Allen–Cahn equation with constant and degenerate mobility, with polynomial and logarithmic energy functionals, with deterministic and random initial functions, and with advec...
A strategy based on statistical modelling and multi-objective optimization to design a dishwasher cleaning cycle
Anapa, Korkut; Yücel, Hamdullah (2024-09-01)
This study proposes a novel approach based on statistical learning and multi-objective optimization to reduce the need for experiments during the design phase of new cleaning cycles for household dishwashers. We first buil...
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...
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...
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 ...
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