Title : ( Finite element approximation of the linearized stochastic Cahn–Hilliard equation with fractional Brownian motion )
Authors: Mahdieh Arezoomandan , Ali Reza Soheili ,
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Abstract
We perform a numerical analysis of the linearized stochastic Cahn-Hilliard equation driven by infinite-dimensional fractional Brownian motion with Hurst index H > 1/2. The equation is discretized using a standard finite element method in space and a fully implicit backward Euler method in time. We prove strong convergence estimates for the considered stochastic Cahn-Hilliard equation. Finally, numerical experiments are performed to con¯rm the theoretical results.
Keywords
, Stochastic Cahn{Hilliard equation, in¯nite-dimensional fractional Brownian motion, ¯nite element method, strong convergence, error estimate.
@article{paperid:1095362,
author = {Arezoomandan, Mahdieh and Soheili, Ali Reza},
title = {Finite element approximation of the linearized stochastic Cahn–Hilliard equation with fractional Brownian motion},
journal = {Mathematics and computers in simulation},
year = {2024},
volume = {215},
month = {January},
issn = {0378-4754},
pages = {122--145},
numpages = {23},
keywords = {Stochastic Cahn{Hilliard equation; in¯nite-dimensional fractional Brownian motion; ¯nite element method; strong convergence; error estimate.},
}
%0 Journal Article
%T Finite element approximation of the linearized stochastic Cahn–Hilliard equation with fractional Brownian motion
%A Arezoomandan, Mahdieh
%A Soheili, Ali Reza
%J Mathematics and computers in simulation
%@ 0378-4754
%D 2024
