2 citations · 5 across the 8 of their papers we have counts for
8 papers
Convergence of finite element approximations for the one-dimensional stochastic Burgers equation with additive trace-class noise
Binjie Li, Xiaoping Xie, Qin Zhou
This paper investigates finite element approximations of the one-dimensional viscous stochastic Burgers equation with additive trace-class noise. For the finite element spati…
Numerical Analysis of 2D Stochastic Navier--Stokes Equations with Transport Noise: Regularity and Spatial Semidiscretization
Binjie Li, Qin Zhou
This paper establishes strong convergence rates for the spatial finite element discretization of a two-dimensional stochastic Navier--Stokes system with transport noise and no-slip…
Pathwise uniform convergence of a full discretization for a three-dimensional stochastic Allen-Cahn equation with multiplicative noise
Binjie Li, Qin Zhou
This paper analyzes a full discretization of a three-dimensional stochastic Allen-Cahn equation with multiplicative noise. The discretization combines the Euler scheme for temporal…
Convergence of a spatial semidiscretization for a three-dimensional stochastic Allen-Cahn equation with multiplicative noise
Qin Zhou, Binjie Li
This paper studies the convergence of a spatial semidiscretization of a three-dimensional stochastic Allen-Cahn equation with multiplicative noise. For non-smooth initial data, the…
Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation
Qin Zhou, Binjie Li
This paper analyzes the discretization of a Neumann boundary control problem with a stochastic parabolic equation, where an additive noise occurs in the Neumann boundary condition.…
Analysis of a discretization of a distributed control problem with a stochastic evolution equation
Binjie Li, Qin Zhou, Xiaoping Xie
This paper analyzes a discretization of a stochastic parabolic optimal control problem, where the diffusion term contains the control variable. With rough data, the convergence of…
Discretization of a distributed optimal control problem with a stochastic parabolic equation driven by multiplicative noise
Binjie Li
A discretization of an optimal control problem of a stochastic parabolic equation driven by multiplicative noise is analyzed. The state equation is discretized by the continuous pi…
Temporally semidiscrete approximation of a Dirichlet boundary control for a fractional/normal evolution equation with a final observation
Qin Zhou, Binjie Li
Optimal Dirichlet boundary control for a fractional/normal evolution with a final observation is considered. The unique existence of the solution and the first-order optimality con…