Xiaobing Feng

Best Publications

• Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows

  Xiaobing Feng;Andreas Prohl

  380
  Citations

• Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows

  Unknown

  240
  Citations

• Error analysis of a mixed finite element method for the Cahn-Hilliard equation

  Xiaobing Feng;Andreas Prohl

  216
  Citations

• Recent Developments in Numerical Methods for Fully Nonlinear Second Order Partial Differential Equations

  Xiaobing Feng;Roland Glowinski;Michael Neilan

  159
  Citations

• SHARP REGULARITY COEFFICIENT ESTIMATES FOR COMPLEX-VALUED ACOUSTIC AND ELASTIC HELMHOLTZ EQUATIONS

  Unknown

  140
  Citations

• Analysis of finite element approximations of a phase field model for two-phase fluids

  Xiaobing Feng;Yinnian He;Chun Liu

  135
  Citations

• Two-Level Additive Schwarz Methods for a Discontinuous Galerkin Approximation of Second Order Elliptic Problems

  Unknown

  129
  Citations

• ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number

  Unknown

  119
  Citations

• Finite Element Approximations of the Ericksen-Leslie Model for Nematic Liquid Crystal Flow

  Roland Becker;Xiaobing Feng;Andreas Prohl

  111
  Citations

• The phase field method for geometric moving interfaces and their numerical approximations

  Qiang Du;Xiaobing Feng

  109
  Citations

• Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits

  Xiaobing Feng;Andreas Prohl

  107
  Citations

• A Posteriori Error Estimates and an Adaptive Finite Element Method for the Allen–Cahn Equation and the Mean Curvature Flow

  Unknown

  104
  Citations

• Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition

  Unknown

  98
  Citations

• Vanishing Moment Method and Moment Solutions for Fully Nonlinear Second Order Partial Differential Equations

  Unknown

  97
  Citations

• Mixed Finite Element Methods for the Fully Nonlinear Monge–Ampère Equation Based on the Vanishing Moment Method

  Unknown

  95
  Citations

• Analysis of total variation flow and its finite element approximations

  Xiaobing Feng;Andreas Prohl

  88
  Citations

• Finite Element Methods for the Stochastic Allen--Cahn Equation with Gradient-type Multiplicative Noise

  Xiaobing Feng;Yukun Li;Yi Zhang

  80
  Citations

• Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow

  Unknown

  80
  Citations

• Numerical analysis of the Cahn-Hilliard equation and approximation for the Hele-Shaw problem

  Xiaobing Feng;Andreas Prohl

  74
  Citations

• Analysis of Galerkin Methods for the Fully Nonlinear Monge-Ampère Equation

  Xiaobing Feng;Michael Neilan

  70
  Citations