6 citations · 19 across the 10 of their papers we have counts for
11 papers
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…
Analysis of a mixed finite element method for stochastic Cahn-Hilliard equation with multiplicative noise
Yukun Li, Corey Prachniak, Yi Zhang
This paper proposes and analyzes a novel fully discrete finite element scheme with the interpolation operator for stochastic Cahn-Hilliard equations with functional-type noise. The…
Fully discrete finite element methods for nonlinear stochastic elastic wave equations with multiplicative noise
Xiaobing Feng, Yukun Li, Yujian Lin
This paper is concerned with fully discrete finite element methods for approximating variational solutions of nonlinear stochastic elastic wave equations with multiplicative noise.…
Fully Discrete Mixed Finite Element Methods for the Stochastic Cahn-Hilliard Equation with Gradient-type Multiplicative Noise
Xiaobing Feng, Yukun Li, Yi Zhang
This paper develops and analyzes some fully discrete mixed finite element methods for the stochastic Cahn-Hilliard equation with gradient-type multiplicative noise that is white in…
Strong convergence of a fully discrete finite element method for a class of semilinear stochastic partial differential equations with multiplicative noise
Xiaobing Feng, Yukun Li, Yi Zhang
This paper develops and analyzes a fully discrete finite element method for a class of semilinear stochastic partial differential equations (SPDEs) with multiplicative noise. The n…
Finite Element Methods for the Stochastic Allen-Cahn Equation with Gradient-type Multiplicative Noises
Xiaobing Feng, Yukun Li, Yi Zhang
This paper studies finite element approximations of the stochastic Allen-Cahn equation with gradient-type multiplicative noises that are white in time and correlated in space. The…
Analysis of mixed interior penalty discontinuous Galerkin methods for the Cahn-Hilliard equation and the Hele-Shaw flow
Xiaobing Feng, Yukun Li, Yulong Xing
This paper proposes and analyzes two fully discrete mixed interior penalty discontinuous Galerkin (DG) methods for the fourth order nonlinear Cahn-Hilliard equation. Both methods u…
Multiphysics Finite Element Methods for a Poroelasticity Model
Xiaobing Feng, Zhihao Ge, Yukun Li
This paper concerns with finite element approximations of a quasi-static poroelasticity model in displacement-pressure formulation which describes the dynamics of poro-elastic mate…
Analysis of interior penalty discontinuous Galerkin methods for the Allen-Cahn equation and the mean curvature flow
Xiaobing Feng, Yukun Li
This paper develops and analyzes two fully discrete interior penalty discontinuous Galerkin (IP-DG) methods for the Allen-Cahn equation, which is a nonlinear singular perturbation…
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…