1 citations · 1 across the 7 of their papers we have counts for
8 papers
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…
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…
-convergence of an Enhanced Finite Element Method for Manià's and Foss's Problems Exhibiting the Lavrentiev Gap Phenomenon
Xiaobing Feng, Joshua M. Siktar
It is well-known that numerically approximating calculus of variations problems possessing a Lavrentiev Gap Phenomenon (LGP) is challenging, and the standard numerical methodologie…
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…
Mathematical and numerical analysis for PDE systems modeling intravascular drug release from arterial stents and transport in arterial tissue
Xiaobing Feng, Tingao Jiang
This paper is concerned with the PDE and numerical analysis of a modified one-dimensional intravascular stent model originally proposed in [4]. It is proved that the modified model…
Analysis of the Vanishing Moment Method and its Finite Element Approximations for Second-order Linear Elliptic PDEs in Non-divergence Form
Xiaobing Feng, Thomas Lewis, Stefan Schnake
This paper is concerned with continuous and discrete approximations of strong solutions of second-order linear elliptic partial differential equations (PDEs) in non-diver…
Finite element approximations of the stochastic mean curvature flow of planar curves of graphs
Xiaobing Feng, Yukun Li, Andreas Prohl
This paper develops and analyzes a semi-discrete and a fully discrete finite element method for a one-dimensional quasilinear parabolic stochastic partial differential equation (SP…
-discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number
Xiaobing Feng, Haijun Wu
This paper develops some interior penalty -discontinuous Galerkin (-DG) methods for the Helmholtz equation in two and three dimensions. The proposed -DG methods are def…