28 citations · 32 across the 6 of their papers we have counts for
4 papers · 1 filter
Energy Dissipation Preserving Physics Informed Neural Network for Allen-Cahn Equations
Mustafa Kütük, Hamdullah Yücel
This paper investigates a numerical solution of Allen-Cahn equation with constant and degenerate mobility, with polynomial and logarithmic energy functionals, with deterministic an…
An Adaptive Algorithm Based on Stochastic Discontinuous Galerkin for Convection Dominated Equations with Random Data
Pelin Çiloğlu, Hamdullah Yücel
In this paper, we propose an adaptive approach, based on mesh refinement or parametric enrichment with polynomial degree adaption, for numerical solution of convection dominated eq…
Stochastic Discontinuous Galerkin Methods for Robust Deterministic Control of Convection Diffusion Equations with Uncertain Coefficients
Pelin Çiloğlu, Hamdullah Yücel
We investigate a numerical behaviour of robust deterministic optimal control problem subject to a convection diffusion equation containing uncertain inputs. Stochastic Galerkin app…
Stochastic Discontinuous Galerkin Methods with Low--Rank Solvers for Convection Diffusion Equations
Pelin Çiloğlu, Hamdullah Yücel
We investigate numerical behaviour of a convection diffusion equation with random coefficients by approximating statistical moments of the solution. Stochastic Galerkin approach, t…