40 citations · 48 across the 2 of their papers we have counts for
3 papers
Finite Element Approximations for a linear Cahn-Hilliard-Cook equation driven by the space derivative of a space-time white noise
Georgios T. Kossioris, Georgios E. Zouraris
We consider an initial- and Dirichlet boundary- value problem for a linear Cahn-Hilliard-Cook equation, in one space dimension, forced by the space derivative of a space-time white…
Noise regularization and computations for the 1-dimensional stochastic Allen-Cahn problem
Markos A. Katsoulakis, Georgios T. Kossioris, Omar Lakkis
We address the numerical discretization of the Allen-Cahn prob- lem with additive white noise in one-dimensional space. The discretization is conducted in two stages: (1) regulariz…
Fully-Discrete Finite Element Approximations for a fourth-order linear stochastic parabolic equation with additive space-time white noise: II. 2D and 3D Case
Georgios T. Kossioris, Georgios E. Zouraris
We consider an initial- and Dirichlet boundary- value problem for a fourth-order linear stochastic parabolic equation, in two or three space dimensions, forced by an additive space…