3 papers
math.OC2025
A stochastic Galerkin method for optimal Dirichlet boundary control problems with uncertain data
Max Winkler, Hamdullah Yücel
The paper deals with a stochastic Galerkin approximation of elliptic Dirichlet boundary control problems with random input data. The expectation of a tracking cost functional with…
math.NA2024
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…
math.NA2020
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…