@Article{CiCP-31-2,
author = {Zhou, Li and Yunzhang, Li},
title = {An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative},
journal = {Communications in Computational Physics},
year = {2022},
volume = {31},
number = {2},
pages = {516--547},
abstract = {<p style="text-align: justify;">In this paper, we propose a local discontinuous Galerkin (LDG) method for
the multi-dimensional stochastic Cahn-Hilliard type equation in a general form, which
involves second-order derivative $∆u$ in the multiplicative noise. The stability of our
scheme is proved for arbitrary polygonal domain with triangular meshes. We get the
sub-optimal error estimate $\mathbb{O}(h^k)$ if the Cartesian meshes with $Q^k$ elements are used.
Numerical examples are given to display the performance of the LDG method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2021-0134},
url = {https://global-sci.com/article/79520/an-ldg-method-for-stochastic-cahn-hilliard-type-equation-driven-by-general-multiplicative-noise-involving-second-order-derivative}
}