2 citations · 5 across the 16 of their papers we have counts for
19 papers
Optimal strong convergence of a splitting mixed finite element method for a stochastic Keller--Segel system
Liet Vo
In this work, we develop and analyze a splitting mixed finite element method, combined with a fully implicit Euler time discretization, for a stochastic Keller--Segel system with g…
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…
Analysis of fully discrete Crank-Nicolson finite element methods for a stochastic Keller-Segel chemotaxis system with gradient-type multiplicative noise
Liet Vo
We develop and analyze numerical methods for a stochastic Keller-Segel system perturbed by Stratonovich noise, which models chemotactic behavior under randomly fluctuating environm…
Optimal Order Space-Time Discretization Methods for the Nonlinear Stochastic Elastic Wave Equations with Multiplicative Noise
Xiaobing Feng, Yukun Li, Liet Vo
This paper develops and analyzes an optimal-order semi-discrete scheme and its fully discrete finite element approximation for nonlinear stochastic elastic wave equations with mult…
Optimal order time discretizations for stochastic semilinear wave equations with multiplicative noise
Xiaobing Feng, Yukun Li, Liet Vo
This paper is concerned with developing and analyzing two novel implicit temporal discretization methods for the stochastic semilinear wave equations with multiplicative noise. The…
A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media: Analytic Continuation
David Nicholls, Liet Vo
Electromagnetic waves interacting with three--dimensional periodic structures occur in many applications of great scientific and engineering interest. These three dimensional inter…
A High-Order Perturbation of Envelopes (HOPE) Method for Vector Electromagnetic Scattering by Periodic Inhomogeneous Media
David P. Nicholls, Liet Vo
The scattering of electromagnetic waves by three--dimensional periodic structures is important for many problems of crucial scientific and engineering interest. Due to the complexi…
Higher order time discretization method for a class of semilinear stochastic partial differential equations with multiplicative noise
Yukun Li, Liet Vo, Guanqian Wang
In this paper, we consider a new approach for semi-discretization in time and spatial discretization of a class of semi-linear stochastic partial differential equations (SPDEs) wit…
Higher order time discretization method for the stochastic Stokes equations with multiplicative noise
Liet Vo
In this paper, we propose a new approach for the time-discretization of the incompressible stochastic Stokes equations with multiplicative noise. Our new strategy is based on the c…
High moment and pathwise error estimates for fully discrete mixed finite element approximattions of stochastic Navier-Stokes equations with additive noise
Xiaobing Feng, Liet Vo
This paper is concerned with high moment and pathwise error estimates for fully discrete mixed finite element approximattions of stochastic Navier-Stokes equations with general add…
High moment and pathwise error estimates for fully discrete mixed finite element approximations of the Stochastic Stokes Equations with Multiplicative Noises
Liet Vo
This paper is concerned with high moment and pathwise error estimates for both velocity and pressure approximations of the Euler-Maruyama scheme for time discretization and its two…
An efficient iterative method for solving parameter-dependent and random convention-diffusion problems
Xiaobing Feng, Yan Luo, Liet Vo +1
This paper develops and analyzes a general iterative framework for solving parameter-dependent and random convection-diffusion problems. It is inspired by the multi-modes method of…
Analysis of Chorin-Type Projection Methods for the Stochastic Stokes Equations with General Multiplicative Noises
Xiaobing Feng, Liet Vo
This paper is concerned with numerical analysis of two fully discrete Chorin-type projection methods for the stochastic Stokes equations with general non-solenoidal multiplicative…
Optimally Convergent Mixed Finite Element Methods for the Stochastic Stokes Equations
Xiaobing Feng, Andreas Prohl, Liet Vo
We propose some new mixed finite element methods for the time dependent stochastic Stokes equations with multiplicative noise, which use the Helmholtz decomposition of the driving…