Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows X Feng, A Prohl Numerische Mathematik 94, 33-65, 2003 | 371 | 2003 |

Fully Discrete Finite Element Approximations of the Navier--Stokes--Cahn-Hilliard Diffuse Interface Model for Two-Phase Fluid Flows X Feng SIAM journal on numerical analysis 44 (3), 1049-1072, 2006 | 278 | 2006 |

Error analysis of a mixed finite element method for the Cahn-Hilliard equation X Feng, A Prohl Numerische Mathematik 99, 47-84, 2004 | 211 | 2004 |

Discontinuous Galerkin methods for the Helmholtz equation with large wave number X Feng, H Wu SIAM Journal on Numerical Analysis 47 (4), 2872-2896, 2009 | 192 | 2009 |

Two-level additive Schwarz methods for a discontinuous Galerkin approximation of second order elliptic problems X Feng, OA Karakashian SIAM Journal on Numerical Analysis 39 (4), 1343-1365, 2001 | 167 | 2001 |

Recent developments in numerical methods for fully nonlinear second order partial differential equations X Feng, R Glowinski, M Neilan siam REVIEW 55 (2), 205-267, 2013 | 153 | 2013 |

Sharp regularity coefficient estimates for complex-valued acoustic and elastic Helmholtz equations P Cummings, X Feng Mathematical Models and Methods in Applied Sciences 16 (01), 139-160, 2006 | 149 | 2006 |

ℎ𝑝-discontinuous Galerkin methods for the Helmholtz equation with large wave number X Feng, H Wu Mathematics of computation 80 (276), 1997-2024, 2011 | 139 | 2011 |

Vanishing moment method and moment solutions for fully nonlinear second order partial differential equations X Feng, M Neilan Journal of Scientific Computing 38 (1), 74-98, 2009 | 127 | 2009 |

Analysis of finite element approximations of a phase field model for two-phase fluids X Feng, Y He, C Liu Mathematics of computation 76 (258), 539-571, 2007 | 124 | 2007 |

The phase field method for geometric moving interfaces and their numerical approximations Q Du, X Feng Handbook of numerical analysis 21, 425-508, 2020 | 119 | 2020 |

Mixed finite element methods for the fully nonlinear Monge–Ampère equation based on the vanishing moment method X Feng, M Neilan SIAM Journal on Numerical Analysis 47 (2), 1226-1250, 2009 | 118 | 2009 |

*A Posteriori* Error Estimates and an Adaptive Finite Element Method for the Allen–Cahn Equation and the Mean Curvature FlowX Feng, H Wu Journal of Scientific Computing 24, 121-146, 2005 | 115 | 2005 |

Analysis of a mixed finite element method for a Cahn--Hilliard--Darcy--Stokes system AE Diegel, XH Feng, SM Wise SIAM Journal on Numerical Analysis 53 (1), 127-152, 2015 | 109 | 2015 |

Analysis of a Darcy--Cahn--Hilliard diffuse interface model for the Hele-Shaw flow and its fully discrete finite element approximation X Feng, S Wise SIAM Journal on Numerical Analysis 50 (3), 1320-1343, 2012 | 109 | 2012 |

Finite element approximations of the Ericksen–Leslie model for nematic liquid crystal flow R Becker, X Feng, A Prohl SIAM Journal on Numerical Analysis 46 (4), 1704-1731, 2008 | 104 | 2008 |

On existence and uniqueness results for a coupled system modeling miscible displacement in porous media XB Feng Journal of mathematical analysis and applications 194 (3), 883-910, 1995 | 102 | 1995 |

Fully discrete dynamic mesh discontinuous Galerkin methods for the Cahn-Hilliard equation of phase transition X Feng, O Karakashian Mathematics of computation 76 (259), 1093-1117, 2007 | 100 | 2007 |

Analysis of a fully discrete finite element method for the phase field model and approximation of its sharp interface limits X Feng, A Prohl Mathematics of computation 73 (246), 541-567, 2004 | 97 | 2004 |

Analysis of total variation flow and its finite element approximations X Feng, A Prohl ESAIM: Mathematical Modelling and Numerical Analysis 37 (3), 533-556, 2003 | 94 | 2003 |