3 papers
math.NA2022
Strong convergence rates of a fully discrete scheme for the Cahn-Hilliard-Cook equation
Ruisheng Qi, Meng Cai, Xiaojie Wang
The first aim of this paper is to examine existence, uniqueness and regularity for the Cahn-Hilliard-Cook (CHC) equation in space dimension . By applying a spectral Galerk…
math.NA2018
Error estimates of semi-discrete and fully discrete finite element methods for the Cahn-Hilliard-Cook equation
Ruisheng Qi, Xiaojie Wang
In two recent publications [Kov{á}cs, Larsson, and Mesforush, SIAM J. Numer. Anal. 49(6), 2407-2429, 2011] and [Furihata, et al., SIAM J. Numer. Anal. 56(2), 708-731, 2018], strong…
math.NA2018
Optimal error estimates of Galerkin finite element methods for stochastic Allen-Cahn equation with additive noise
Ruisheng Qi, Xiaojie Wang
Strong approximation errors of both finite element semi-discretization and spatio-temporal full discretization are analyzed for the stochastic Allen-Cahn equation driven by additiv…