Xiao-Ping Xie

Convergence of finite element approximations for the one-dimensional stochastic Burgers equation with additive trace-class noise

This paper investigates finite element approximations of the one-dimensional viscous stochastic Burgers equation with additive trace-class noise. For the $P_2$ finite element spatial semi-discretization, we derive strong error estimates that are optimal with respect to regularity in \(L^p([0,T] \times \Omega;H_{D}^{\al...