109 citations · 289 across the 56 of their papers we have counts for
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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…
discontinuous Galerkin finite element methods for second order linear elliptic partial differential equations in non-divergence form
Xiaobing Feng, Lauren Hennings, Michael Neilan
This paper is concerned with finite element approximations of strong solutions of second-order linear elliptic partial differential equations (PDEs) in non-divergence for…
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…
An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency
Xiaobing Feng, Cody Lorton
In this paper we propose and analyze an interior penalty discontinuous Galerkin (IP-DG) method using piecewise linear polynomials for the elastic Helmholtz equations with the first…