Research Interests:

    Adaptive Methods for Singular Problems.
    Numerical Methods for Micromagnetics Simulations.
    Modeling and Simulations of Multi-phase Flow
   
 

Selected Publications

  1. Li, Panchi; Xie, C.; Du, R.; Chen, J.; Wang, Xiaoping； Two improved Gauss-Seidel projection methods for Landau-Lifshitz-Gilbert equation; Journal of Computational Physics, v. 401, January 2020, article number 109046
  2. Xu, Xianmin; Zhao, Yinyu; Wang, Xiaoping; Analysis for Contact Angle Hysteresis on Rough Surfaces by a Phase-Field Model with a Relaxed Boundary Condition,  SIAM Journal on Applied Mathematics, v. 79, (6), December 2019, p. 2551-2568
  3. Wang, Dong; Osting, Braxton; Wang, Xiaoping; Interface Dynamics for an Allen-Cahn-type equation governing a matrix-valued field; Multiscale Modeling and Simulation, v. 17, (4), 2019, p. 1252-1273
  4. Wang, Dong; Jiang, Shidong; Wang, Xiaoping;  An Efficient Boundary Integral Scheme for the Threshold Dynamics Method II: Applications to Wetting Dynamics;  Journal of Scientific Computing, v.81, (3), December 2019, p. 1860-1881
  5. Wang, Dong; Wang, Xiaoping ; Xu, Xianmin;  An Improved Threshold Dynamics Method for Wetting Dynamics; Journal of Computational Physics, v. 392, September 2019, p. 291-310
  6. Huangxin Chen, Haitao Leng, Dong Wang and Xiaoping Wang; An efficient threshold dynamics method for topology optimization for fluids,  arXiv:1812.09437, 2019
  7. D. Wang and X.P. Wang,  An iterative convolution-thresholding method (ICTM) for image segmentation,   arXiv.  2665214,  2019
  8. Chen, Jie; Sun, Shuyu; Wang, Xiaoping;  Homogenization of two-phase fluid flow in porous media via volume averaging; Journal of Computational and Applied Mathematics, v. 353, June 2019, p. 265-282
  9. Chen, Jingrun; Yang, Lei; Wang, Xiaoping;  A reduced model for domain wall dynamics in soft ferromagnet; Journal of Magnetism and Magnetic Materials, v. 479, June 2019, p. 199-203
  10. Zhang, Xing ; Luo, Li; Wang, Xiaoping; A Numerical Study of Fluid-Particle Interaction with Slip Boundary Condition;  NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS. , v. 11, (4), November 2018, p. 795-809
  11. Du, Jie; Chung, Eric T.; Lam, Ming Fai; Wang, Xiaoping; Discontinuous Galerkin Method with Staggered Hybridization for a Class of Nonlinear Stokes Equation;  Journal of Scientific Computing. , v. 76, (3), September 2018, p. 1547-1577
  12. Huang, Jizu; Wang, Xiao-Ping; A Lattice Boltzmann Model for Multiphase Flows with Moving Contact Line and Variable Density;  Journal of Computational Physics. , v. 353, January 2018, p. 26-45
  13. Jiang, Shidong; Wang, Dong; Wang, Xiao-Ping; An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT;  Journal of Scientific Computing. , v. 74, (1), January 2018, p. 474-490
  14. Wang, Yin; Xu, Wei; He, Xiaozhou; Yik, Hiu Fai; Wang, Xiaoping ; Schumacher, Jorg; Tong, Penger;   Boundary layer fluctuations in turbulent Rayleigh–Bénard convection;  Journal of Fluid Mechanics. , v. 840, 10 Apr 2018, p. 408-431
  15. He, Q.; Glowinski, R.; Wang, Xiaoping;  A least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition;  Journal of Computational Physics. , v. 366, August 2018, p. 281-297
  16. D. Wang, H. Li, X. Wei and X.P. Wang, An efficient iterative thresholding method for image segmentation,  Journal of Computational Physics, Vol 350 (2017), 657-667   download the code
  17. L. Luo, X-P Wang, and X-C Cai, An efficient finite element method for simulation of droplet spreading on a topologically rough surface,  Journal of Computational Physics,  Vol 349 (2017), 233-252
  18. Dong Wang,  Xiao-Ping Wang and Yaguang Wang,  The dynamics of three-phase triple junction and contact points,   SIAM Journal of Applied Mathematics,  accepted
  19. Wingfai Kwan, Shingyu Leung,  Xiao-Ping Wang and Jianliang Qian,  A Fast Huygens Sweeping Method for Capturing Paraxial Multi-color Optical Self-focusing in Nematic Liquid Crystals,   Journal of Computational Physics,  Vol 348 (2017), 108-138
  20. Shidong Jiang, Dong Wang and Xiao-Ping Wang,  An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT,    Journal of Scientific Computing,  accepted
  21. Li Luo, Qian Zhang, Xiao-Ping Wang, Xiao-Chuan Cai, A parallel finite element method for 3D two-phase moving contact line problems in complex domains,  Journal of Scientific Computing, 72 (2017), 1119-1145
  22. Xianmin Xu, Dong Wang and  Xiao-Ping Wang An efficient threshold dynamics method for wetting on rough surfaces, Journal of Computational Physics, Volume 330, 1 February 2017, Pages 510-528  arXiv,1602.04688
  23. Qiaolin He, Jinyang Huang, Xiaoding Shi, Xiao-Ping Wang, Chao Bi,  Numerical Simulation of 2D Unsteady Shear-Thinning Non-Newtonian Incompressible Fluid in Screw Extruder with Fictitious Domain Method,   Computers and Mathematics with Applications,   73 (2017), Pages 109-121
  24. Xiao-Ping Wang and Xianmin Xu, A dynamic theory for Contact Angle Hysteresis on chemically Rough Boundary ,  Discrete and Continuous Dynamical Systems (A),   37  (2017), Pages: 1061 - 1073
  25. Qian Zhang and Xiao-Ping Wang, Phase field simulation of three-phase flow on solid surface, Journal of Computational Physics, 319 (2016) , Pages 79-107
  26. Qian Zhang, Tiezheng Qian, and Xiao-Ping Wang, Phase Field Simulation of a Droplet Impacting a Solid Surface,  Physics of Fluids,  28, 022103 (2016)
  27. Hua Zhong, Shuyu Sun and and X. P. Wang;  A numerical study of three-dimensional droplets spreading on chemically patterned surfaces,  Discrete and Continuous Dynamical Systems (B),  21  (2016),  Pages: 2905 - 2926
  28. Yi Shi and Xiao-Ping Wang, Wetting and Spreading of Drops on Rough Surfaces, Proceedings of the 6th ICCM, ALM 37 (2015),  pp. 565-584
  29. Jiewei Liu and  Xiao-Ping Wang, Phase field simulation of drop formation in a coflowing fluid, International Journal of Numerical Analysis and Modeling,  12 (2015), p. 268-28
  30. Hua Zhong,  Xiao-Ping Wang,  Amgad Salama and Shuyu Sun, Quasistatic analysis on configuration of two-phase flow in Y-shaped tubes, Computers and Mathematics with Applications,  68  (2014), Pages 1905-1914
  31. Yi Shi and  Xiao-Ping Wang,  Modeling and simulation of dynamics of three-component flows on solid surface, Japan Journal of Industrial and Applied Mathematics, 31 (2014),   pp 611-631
  32. Xianmin Xu and  Xiao-Ping Wang, Non-Darcy behavior of two-phase flow in porous media, Physical Review E,  90 (2014), 023010
  33. Zhen Zhang, Xiao-Ping Wang and  Yongli Mi,  Phase field modeling and simulation of the zone melting purification process,  SIAM J. Applied Math,  74, (2014), pages 1115-1135
  34. Min Gao and Xiao-Ping Wang, An efficient Scheme for a Phase Field Model for the Moving Contact Line Problem with Variable Density and Viscosity, Journal of Computational Physics, 272 (2014), 704-718
  35. Jie Chen,  Shuyu Sun and Xiao-Ping Wang, A numerical method for a model of two-phase flow in a coupled free flow and porous media system, Journal of Computational Physics, 268 (2014), 1-16
  36. Huangxin Chen and Xiao-Ping Wang,  A One-Domain Approach for Modeling and Simulation of  Free Fluid Over a Porous Medium, Journal of Computational Physics, 259, (2014), Pages 650-671
  37. Xinfu Chen, Xiao-Ping Wang and Xianmin Xu, Analysis of the Cahn-Hilliard equation with relaxation boundary condition modeling the contact angle dynamics,  Archive for Rational Mechanics and Analysis, 213 (2014), 1-24
  38. Shuo Guo, Min Gao, Xiaomin Xiong, Yong Jian Wang, Xiaoping Wang, Ping Sheng and Penger Tong, Direct measurement of friction of a fluctuating contact line, Physical Review Letters, 111, 026101 (2013)
  39. Xinfu Chen, Xiao-Ping Wang and Xianmin Xu, Effective Contact Angle for Rough Boundary,  Physica D, 242 (2013) 54-64
  40. Xianmin Xu and Xiao-Ping Wang, The modified Cassie's equation and contact angle hysteresis, J. Colloid and Polymer Science, 291(2013)299-306
  41. Shi Yi, Bao Kai,  Wang Xiaoping, 3D adaptive finite element method for a phase field model for moving contact line problems,  Inverse Problem and Imaging, 7 (2013),  Pages: 947 - 959
  42. Bao Kai, Shi Yi, Sun Shuyu, Wang Xiaoping, A Finite Element Method for the Numerical Solution of the Coupled Cahn-Hilliard and Navier-Stokes System for Moving Contact Line Problems, Journal of Computational Physics, 231 (2012) 8083–8099.
  43. Zhen Zhang,  Xueyun Zhang,  Xiaojin He,  Xiaoping Wang and  Yongli Mi, Purification of phosphorus by a zero pollution zone melting technique, Separation and Purification Technology, 98, (2012), Pages 249-254
  44. Min Gao and Xiao-Ping Wang, A Gradient Stable  Scheme for a Phase Field Model for the Moving Contact Line Problem, Journal of Computational Physics,  231 (2012), 1372–1386
  45. Jie Liao and Xiao-Ping Wang, Stability of An Efficient Navier-Stokes Solver with Navier Boundary Conditions, Discrete and Continuous Dynamical Systems (B), 17 (2012), 153 - 171,
  46. Xianmin Xu and Xiaoping Wang, Analysis of wetting and contact angle hysteresis on chemically patterned surfaces, SIAM Journal Applied Math,  71 (2011) , No. 5, pp. 1753-1779
  47. Siu-Long Lei and Xiaoping Wang, Dripping and Jetting in Coflowing Liquid Streams,   Advances in Adaptive Data Analysis, 3  (2011), 269-290
  48. Qiaolin He, Roland Glowinski and Xiao-Ping Wang, A Least-Squares/Finite Element Method for the Numerical Solution of the Navier-Stokes-Cahn-Hilliard System Modeling the Motion of the Contact Line, Journal of Computational Physics, 230  (2011), 4991-5009
  49. Xianmin Xu and Xiaoping Wang, Derivation of Wenzel's and Cassie's equations froma phase fieeld model for two phase flow on rough surface,  SIAM J. Appl. Math, 70 (2010), 2929-2941
  50. Lei Yang and XP Wang; Dynamics of domain wall in thin film driven by spin current, Discrete and Continuous Dynamical Systems (B),  14,  (2010), 1251 – 1263
  51. Xiao-Ping Wang,  Yaguang Wang and Zhouping Xin,  Boundary layers in incompressible Navier-Stokes equations with Navier boundary conditions for the vanishing viscosity limit, Comm. Math. Sci, 8,  965-998 (2010)
  52. C. Wu, S. Lei, TZ Qian and XP Wang;  Stick-Slip motion of moving contact line on chemically patterned surfaces;   Comm. Compt. Phys, 7, No. 3 403-422 (2010)
  53. Qiaolin He and Xiao-Ping Wang, Numerical study of the effect of Navier slip on the driven cavity flow;  Z. Angew. Math. Mech. 89, No. 10, 857 – 868 (2009)
  54. Yana Di and Xiao-Ping Wang, Precursor simulations in spreading using a multi-mesh adaptive finite element method; Journal of Computational Physics;  228, (2009) 1380-1390
  55. Qiaolin He and Xiao-Ping Wang, The effect of the boundary slip on the stability of shear Flow;ZAMM; 88, (2008) 729-734
  56. Xiao-Ping Wang, Tiezheng Qian and Ping Sheng, Moving contact line on chemically patterned surfaces;  Journal of Fluid Mechanics;  605, (2008) 59-78
  57. Xiao-Ping Wang and Yaguang Wang, The Sharp Interface Limit of a Phase Field Model for Moving Contact Line Problem;  Methods and Applications of Analysis;  14, (2007) 287-294
  58. G. Fibich, Nir Gavish and X.P. Wang;  Singular ring solutions of critical and supercritical nonlinear Schr\"odinger equations; Physica D 231, (2007) 55-86
  59. Carlos J. Garcia-Cervera and Xiao-Ping Wang,  Spin-Polarized Currents in Ferromagnetic Multilayers;   J. Comp. Phys. ,  224, (2007) 699-711
  60. Carlos J. Garcia-Cervera and Xiao-Ping Wang, Spin-Polarized Transport: Existence of Weak Solutions; Discrete and Continuous Dynamical Systems (B) ,  7, (2007) 87-100
  61. Tiezheng Qian, Xiao-Ping Wang, and Ping Sheng, A variational approach to the moving contact line hydrodynamics;  Journal of Fluid Mechanics; 564, (2006) 333-360.
  62. Carlos J. Garcia-Cervera and Xiao-Ping Wang,  Advances in numerical micromagnetics: Spin-Polarized Transport; Bol. Soc. Esp. Mat. Apl.; 34, (2006) 217-221.
  63. Tiezheng Qian, Xiao-Ping Wang, and Ping Sheng,  Molecular hydrodynamics of the moving contact line in two phase immiscible flows; Communications in Computational Physics;  1, (2006):1-52
  64. Xiao-Ping Wang, Ke Wang and Weinan E; Simulations of 3-d domain wall structures in thin films, Discrete and Continuous Dynamical Systems B;  6, (2006):373-390
  65. Yue Liu and Xiao-Ping Wang, Ke Wang; Instability of solitary waves of the Schrodinger equation with inhomogeneous nonlinearity Transactions of the AMS, 358  (2006) 2105-2122.
  66. Xiao-Ping Wang, Sufeng. Zhao and Xiufeng Han;  Micro-magnetic simulations of demagnetization curves for single phase nanocrystalline PrFeB magnet, Journal of Computational and Applied Mathematics,  190, (2006) 142-150
  67. Xiongping Luo, Xiao-Ping Wang, Tiezheng Qian, Ping Sheng; Moving Contact Line Over Undulating Surfaces;  Solid State Communications, 139 (2006) 623-629
  68. G. Fibich, Nir Gavish and X.P. Wang; New singular solutions of the nonlinear Schrodinger equation; Physica D,  211, (2005):193-220
  69. Ran An, Xiao-Ping Wang, and Lei Zhou; Spin dynamics studies of the field-induced phase transition for the spiral antiferromagnet Ba2CuGe2O7;  Physical Review B, 72, 214422 (2005).
  70. Tie-Zheng Qian and Xiao-Ping Wang,  Driven cavity flow: from molecular dynamics to continuum hydrodynamics,  SIAM J. on Multiscale Modeling and Simulation, 3 ( 2005): 749-763.
  71. Tiezheng Qian, Xiao-Ping Wang, and Ping Sheng, Hydrodynamic slip boundary condition at chemically patterned surfaces: A continuum deduction from molecular dynamics,  Phys. Rev. E, 72, 022501 (2005).
  72. Tiezheng Qian, Xiao-Ping Wang and Ping Sheng, Power-Law slip profile of the moving contact line in two phase immiscible flows Phys. Rev. Lett, 63, 094501, 2004
  73. Desheng Wang and Xiao-Ping Wang; Three dimensional adaptive method based on iterative grid redistribution procedure, J. Comp. Phys.  199 ( 2004): 423-436.
  74. G. Fibich and X.P. Wang, Stability of bound states for the nonlinear Schr\"odinger equations with inhomogeneous nonlinearities, Phys. D, 175 (2003), no. 1-2, 96-108
  75. G. Fibich, Weiqing Ren and X.P. Wang, Numerical simulations of self focusing of ultrafast laser pulses. Physical Review E,  67, 056603 (2003)
  76. T.Z. Qian, X.P. Wang and P. Sheng, Generalized Navier boundary condition for the  moving contact line. Comm. Math. Sci.  1, (2003), 333 - 341
  77. D. Laveder, T. Passot, C. Sulem, P.L. Sulem, D. Wang, and X.P. Wang, Wave collapse in dispersive magnetohydrodynamics: direct simulations and envelope modeling; Physica D, 184, 237-258 (2003).
  78.  T.Z. Qian, X.P. Wang and P. Sheng, Molecular scale contact line hydrodynamics of immiscible flows. Physical Review E,  68, 016306 (2003).
  79.  P. Fife and X.P. Wang; Chemically induced grain boundary dynamics, forced motion by curvature, and the appearance of double seams, European J Appl. Math, 13, (2002), 25-52
  80. W. Ren and X.P. Wang;  An new adaptive grid method based on iterative grid redistribution;  Methods Appl. Anal.  8 (2001), no. 4, 515-527
  81. X.P. Wang, Carlos J. Garcia-Cervera and Weinan E; A Gauss-Seidel Projection Method for Micromagnetics Simulations; J. Comp. Phys. , 171 (2001), 357 - 372.
  82. X. Chen and X.P. Wang; Phase transition near a liquid-gas coexistence equilibrium,  SIAM J. Appl. Math. ,  61 (2000), 454-471
  83. Weinan E and X.P. Wang;  Numerical methods for the Landau-Lifshitz equation, SIAM J. Num. Analysis, 38 (2000), 1647-1665
  84. W. Ren and X.P. Wang; An iterative Grid Redistribution Method for Singular Problems in Multiple Dimensions, Journal of Computational Physics, 159 (2000), 246-273
  85. MJ Landman, GC Papanicolaou, C Sulem, PL Sulem, XP Wang, Stability of isotropic singularities for the nonlinear Schrodinger equation, Physica D: Nonlinear Phenomena 47 (1991) 393-415