8 papers
A splitting mixed finite element method for a stochastic Keller-Segel system with multiplicative noise
Thoa Thieu, Liet Vo
In this paper, we propose and analyze a splitting mixed finite element method for a stochastic Keller--Segel system with logistic growth driven by multiplicative noise. By introduc…
A High-Order Perturbation of Envelopes (HOPE) Method for Electromagnetic Scattering by Periodic Inhomogeneous Chiral Media
David Nicholls, Liet Vo
Chirality plays an important role in many optical phenomena, and it is crucial to have efficient and accurate numerical algorithms to simulate solutions in this setting. In this pa…
Finite element approximations of the stochastic Benjamin-Bona-Mahony equation with multiplicative noise
Hung D. Nguyen, Thoa Thieu, Liet Vo
This paper is devoted to the numerical analysis of a fully discrete finite element approximation for the stochastic Benjamin-Bona-Mahony equation driven by multiplicative noise. We…
A mixed finite element method for the stochastic Boussinesq equations with multiplicative noise
Liet Vo
This work investigates a fully discrete mixed finite element method for the stochastic Boussinesq system driven by multiplicative noise. The spatial discretization is performed usi…
Full moment error estimates in strong norms for numerical approximations of stochastic Navier-Stokes equations with multiplicative noise, Part I: time discretization
Xiaobing Feng, Liet Vo
This paper focuses on deriving optimal-order full moment error estimates in strong norms for both velocity and pressure approximations in the Euler-Maruyama time discretization of…
Fully discrete finite element methods for the stochastic Kuramoto-Sivashinsky equation with multiplicative noise
Hung D. Nguyen, Liet Vo
We investigate a fully discrete finite element approximation for the stochastic Kuramoto-Sivashinsky equation, combining the standard finite element methods in spatial discretizati…