-
Views
-
Cite
Cite
G Deugoué, B Jidjou Moghomye, T Tachim Medjo, Fully discrete finite element approximation of the stochastic Cahn–Hilliard–Navier–Stokes system, IMA Journal of Numerical Analysis, Volume 41, Issue 4, October 2021, Pages 3046–3112, https://doi.org/10.1093/imanum/draa056
- Share Icon Share
Abstract
In this paper we study the numerical approximation of the stochastic Cahn–Hilliard–Navier–Stokes system on a bounded polygonal domain of |$\mathbb{R}^{d}$|, |$d=2,3$|. We propose and analyze an algorithm based on the finite element method and a semiimplicit Euler scheme in time for a fully discretization. We prove that the proposed numerical scheme satisfies the discrete mass conservative law, has finite energies and constructs a weak martingale solution of the stochastic Cahn–Hilliard–Navier–Stokes system when the discretization step (both in time and in space) tends to zero.