3 papers
math.NA2023
Low-rank solutions to the stochastic Helmholtz equation
Adem Kaya, Melina A. Freitag
In this paper, we consider low-rank approximations for the solutions to the stochastic Helmholtz equation with random coefficients. A Stochastic Galerkin finite element method is u…
math.GM2021
Multigrid as an exact solver
Adem Kaya
We provide an alternative Fourier analysis for multigrid applied to the Poisson problem in 1D, based on explicit derivation of spectra of the iteration matrix. The new Fourier anal…
math.NA2020
Application of adapted-bubbles to the Helmholtz equation with large wave numbers in 2d
Adem Kaya
An adapted bubble approach which is a modifiation of the residual-free bubbles (RFB) method, is proposed for the Helmhotz problem in 2D. A new two-level finite element method is in…