TY - JOUR
T1 - The Finite Element Method of a Euler Scheme for Stochastic Navier-Stokes Equations Involving the Turbulent Component
AU - Y. Duan & X. Yang
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 727
EP - 744
PY - 2013
DA - 2013/10
SN - 10
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/592.html
KW - stochastic Navier-Stokes equations, finite element method, discrete scheme, and error estimation.
AB - <p style="text-align: justify;">In this paper we study the finite element approximation for stochastic Navier-Stokes
equations including a turbulent part. The discretization for space is derived by finite element
method, and we use the backward Euler scheme in time discretization. We apply the generalized $L_2$-projection operator to approximate the noise term. Under suitable assumptions, strong
convergence error estimations with respect to the fully discrete scheme are well proved.</p>