TY - JOUR
T1 - An LDG Method for Stochastic Cahn-Hilliard Type Equation Driven by General Multiplicative Noise Involving Second-Order Derivative
AU - Zhou , Li
AU - Li , Yunzhang
JO - Communications in Computational Physics
VL - 2
SP - 516
EP - 547
PY - 2022
DA - 2022/01
SN - 31
DO - http://doi.org/10.4208/cicp.OA-2021-0134
UR - https://global-sci.org/intro/article_detail/cicp/20214.html
KW - Local discontinuous Galerkin method, stochastic Cahn-Hilliard type equations, multiplicative noise, stability analysis, error estimates.
AB - <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>