A discontinuous Galerkin method for stochastic Cahn–Hilliard equations. (15th March 2018)

• Record Type: Journal Article
• Authors: Li, Chen; Qin, Ruibin; Ming, Ju; Wang, Zhongming
• Is Part Of: Computers & mathematics with applications. Volume 75:issue 6(2018)
• Page Start: 2100
• Page End: 2114
• Publication Date: 2018-03-15
• Subjects: Stochastic Cahn-Hilliard equation -- Q-Wiener process -- Local discontinuous Galerkin method; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2017.05.029
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, a discontinuous Galerkin method for the stochastic Cahn-Hilliard equation with additive random noise, which preserves the conservation of mass, is investigated. Numerical analysis and error estimates are carried out for the linearized stochastic Cahn-Hilliard equation. The effects of the noises on the accuracy of our scheme are also presented. Numerical examples simulated by Monte Carlo method for both linear and nonlinear stochastic Cahn-Hilliard equations are presented to illustrate the convergence rate and validate our conclusion.