Publications

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Xiaoming He’s Google Scholar Profile

Journal Publications

  1. Guodong Zhang, Xiaoming He, and Xiaofeng Yang. Efficient fully-discrete finite element  scheme for the ferrohydrodynamic  Rosensweig model and  simulations of  ferrofluid rotational flow problems, SIAM Journal on Scientific Computing, accepted for publication.    
     
  2. Jinjin Yang, Shipeng Mao, and Xiaoming He. Unconditionally optimal convergent zero-energy-contribution scheme for two phase MHD model, Journal of Scientific Computing, doi: m10.1007/s10915-024-02773-1.
     
  3. Xuejian Li, Xiaoming He, Wei Gong, and Craig Douglas. Variational data assimilation with finite element discretization for second order parabolic interface equation, IMA Journal of Numerical Analysis, doi: 10.1093/imanum.     
     
  4. Junchen Liu, Fuqiao Bai, Abdulaziz Almakimi, Mingzhen Wei, Xiaoming He, Ibnelwaleed Ali Hussein, and Baojun Bai. Investigation of dynamic adsorption and desorption of polymer nanogel in porous media through microfluidics, SPE Journal, doi: 10.2118/223943-PA.      
     
  5. Guodong Zhang, Yunqing Huang, Xiaoming He, and Xiaofeng Yang. Efficient fully discrete and decoupled scheme with unconditional energy stability and second-order accuracy for micropolar Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, 436: #117692, 2025.
     
  6. Wenjuan Li, Fuzhen Gao, and Xiaoming He. Stabilizer-free weak Galerkin method and its optimal L2 error estimates for the time-dependent Poisson-Nernst-Planck problem, Communications in Nonlinear Science and Numerical Simulation, 141: #108449, 2025.
     
  7. Liuhong Chen, Meixin Xiong, Ju Ming, and Xiaoming He. Efficient mini-batch stochastic gradient descent with centroidal Voronoi tessellation for PDE-constrained optimization under uncertainty, Physica D: Nonlinear Phenomena, 467: #134216, 2024.
     
  8. Qianqian Ding, Yuanyuan Hou, and Xiaoming He. Optimal error estimates of a second-order fully decoupled finite element method for the nonstationary generalized Boussinesq model, Journal of Computational and Applied Mathematics, 450: #116001, 2024.
     
  9. Chunjie Zhang, Changxin Qiu, Xiaofang Zhou, and Xiaoming He. Cell-average based neural network method for Hunter-Saxton equations, Advances in Applied Mathematics and Mechanics, 16(4): 833-859, 2024.
     
  10. Jinwei Bai, Hongtao Liu, Xiaoming He, Wei Jiang, and Yong Cao. CFIRM: An integrated code package for the low-temperature plasma simulation on structured grids, International Journal of Numerical Analysis and Modeling, 21(3): 375-406, 2024.
     
  11. Xuejian Li, Wei Gong, Xiaoming He, and Tao Lin. Variational data assimilation and its decoupled iterative numerical algorithms for Stokes-Darcy model, SIAM Journal on Scientific Computing, 46(2): S142–S175, 2024.
     
  12. Guodong Zhang, Xiaoming He, and Xiaofeng Yang. A unified framework of the SAV-ZEC method for a mass-conserved Allen-Cahn type two-phase ferrofluid flow model, SIAM Journal on Scientific Computing, 46(2): B77–B106, 2024.
     
  13. Siyu Wu, Jinwei Bai, Xiaoming He, Ren Zhao, and Yong Cao. An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery, Journal of Computational Physics, 498: #112703, 2024.
     
  14. Yali Gao, Rui Li, Xiaoming He, and Yanping Lin. A fully decoupled numerical method for Cahn-Hilliard-Navier-Stokes-Darcy equations based on auxiliary variable approaches, Journal of Computational and Applied Mathematics, 436: #115363, 2024.
     
  15. Yajie Han, Guangqing Xia, Chang Lu, Xiaoming He. Trilinear immersed finite element method for 3D anisotropic interface problems with applications to plasma thrusters, AIAA Journal, 61(10): 4267-4284, 2023.
     
  16. David Lund, Xiaoming He, and Daoru Han. Kinetic particle simulations of plasma charging at lunar craters under severe conditions, Journal of Spacecraft and Rockets, 60(4): 1176-1187, 2023.
     
  17. Guodong Zhang, Xiaoming He, and Xiaofeng Yang. Reformulated weak formulation and efficient fully-discrete finite element method for a two-phase ferrohydrodynamics Shliomis model, SIAM Journal on Scientific Computing, 45(3): B253-B282, 2023.
     
  18. Yali Gao, Xiaoming He, Tao Lin, and Yanping Lin. Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities, ESAIM: Mathematical Modelling and Numerical Analysis, 57(3): 1323-1354, 2023.
     
  19. Jiangyong Hou, Dan Hu, Xuejian Li, and Xiaoming He. Modeling and a domain decomposition method with finite element discretization for coupled Dual-Porosity flow and Navier-Stokes flow, Journal of Scientific Computing, 95: #67, 2023.
     
  20. Qianqian Ding, Xiaoming He, Xiaonian Long, and Shipeng Mao. Error analysis of a fully discrete projection method for magnetohydrodynamic system, Numerical Methods for Partial Differential Equations, 39(2): 1449-1477, 2023.
     
  21. Yuanyuan Hou, Wenjing Yan, Lioba Boveleth, and Xiaoming He. A decoupled, parallel, iterative finite element method for solving the steady Boussinesq equations. International Journal of Numerical Analysis and Modeling, 19(6): 739-760, 2022.
     
  22. Yali Gao, Xiaoming He, and Yufeng Nie. Second-order, fully decoupled, linearized, and unconditionally stable SAV schemes for Cahn-Hilliard-Darcy system, Numerical Methods for Partial Differential Equations, 38(6): 1658-1683, 2022.
     
  23. David Lund, Xiaoming He, Xu Zhang, and Daoru Han. Weak scaling of the parallel immersed finite element particle-in-cell (PIFE-PIC) framework with lunar plasma charging simulations, Computational Particle Mechanics, 9: 1279–1291, 2022.
     
  24. Jianxun Zhao, Xiaoming He, Guirong Yan, and Daoru Han. Kinetic particle simulations of plasma and dust environments at robotic construction sites near the lunar terminator, Journal of Aerospace Engineering, 35(6): #04022095, 2022.
     
  25. Xiaofeng Yang and Xiaoming He. Numerical approximations of flow coupled binary phase field crystal system: fully discrete finite element scheme with second-order temporal accuracy and decoupling structure, Journal of Computational Physics, 467: #111448, 2022.
     
  26. Yingzhi Liu, Yassine Boubendir, Xiaoming He, and Yinnian He. New optimized Robin-Robin domain decomposition methods using Krylov solvers for the Stokes-Darcy system, SIAM Journal on Scientific Computing, 44(4): B1068-B1095, 2022.
     
  27. Junchen Liu, Yandong Zhang, Mingzhen Wei, Xiaoming He, and Baojun Bai. Fabrications and applications of micro/nanofluidics in oil and gas recovery: a comprehensive review, Energy & Fuels, 36: 9904-9931, 2022.
     
  28. Yuanyuan Hou, Wenjing Yan, Maojun Li, and Xiaoming He. A decoupled and iterative finite element method for generalized Boussinesq equations, Computers and Mathematics with Applications, 115: 14-25, 2022.
     
  29. Zhipeng Yang, Xuejian Li, Xiaoming He, and Ju Ming. A stochastic collocation method based on sparse grid for a stochastic Stokes-Darcy model, Discrete and Continuous Dynamical Systems – Series S, 15(4): 893-912, 2022.
     
  30. Yali Gao, Daozhi Han, Xiaoming He, and Ulrich Rüde. Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities, Journal of Computational Physics, 454: #110968, 2022.
     
  31. Zhipeng Yang, Ju Ming, Changxin Qiu, Maojun Li, and Xiaoming He. A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition, Journal of Scientific Computing, 90(2): #68, 2022.
     
  32. Xiaofeng Yang and Xiaoming He. A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system, Computer Methods in Applied Mechanics and Engineering, 389: #114376, 2022.
     
  33. Jiangyong Hou, Dan Hu, Xiaoming He, and Changxin Qiu. Modeling and a Robin-type decoupled finite element method for dual-porosity-Navier-Stokes system with application to flows around multistage fractured horizontal wellbore, Computer Methods in Applied Mechanics and Engineering, 388: #114248, 2022.
     
  34. Guodong Zhang, Xiaoming He, and Xiaofeng Yang. A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations, Journal of Computational Physics, 448: #110752, 2022.
     
  35. Yandong Zhang, Jiaming Geng, Junchen Liu, Baojun Bai, Xiaoming He, Mingzhen Wei, and Wen Deng. Direct pore-level visualization and verification of in-situ oil-in-water pickering emulsification during polymeric nanogel flooding for EOR in a transparent three-dimensional micromodel. Langmuir, 37: 13353-13364, 2021.
     
  36. Yijia Gu, Xiaoming He, and Daozhi Han, On the phase-field modeling of rapid solidification, Computational Materials Science, 199: #110812, 2021.
     
  37. Jianxun Zhao, Xinpeng Wei, Xiaoping Du, Xiaoming He, and Daoru Han. Photoelectron sheath and plasma charging on the lunar surface: semi-analytic solutions and fully-kinetic particle-in-cell simulations, IEEE Transactions on Plasma Science, 49(10): 3036-3050, 2021.
     
  38. Daozhi Han, Xiaomin He, Quan Wang, and Yanyun Wu. Existence and weak-strong uniqueness of solutions to the Cahn-Hilliard-Navier-Stokes-Darcy system in superposed free flow and porous media, Nonlinear Analysis, 211: #112411, 2021.
     
  39. Yingzhi Liu, Yinnian He, Xuejian Li, and Xiaoming He. A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition, Applied Mathematics Letters, 119: #107181, 2021.
     
  40. Hongyan Liu, Jin Huang, and Xiaoming He. Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations, Journal of Computational and Applied Mathematics, 389: #113339, 2021.
     
  41. Daoru Han, Xiaoming He, David Lund, and Xu Zhang. PIFE-PIC: Parallel Immersed-Finite-Element Particle-in-Cell for 3-D kinetic simulations of plasma-material interactions, SIAM Journal on Scientific Computing, 43(3): C235-C257, 2021.
     
  42. Jinwei Bai, Yong Cao, Xiaoming He, and Peng E. An implicit particle-in-cell model based on anisotropic immersed-finite-element method, Computer Physics Communications,261: #107655, 2021.
     
  43. Xinpeng Wei, Jianxun Zhao, Xiaoming He, Zhen Hu, Xiaoping Du, and Daoru Han. Adaptive Kriging method for uncertainty quantification of the photoelectron sheath and dust levitation on the lunar surface, Journal of Verification, Validation and Uncertainty Quantification, 6(1): #011006, 2021.
     
  44. Guodong Zhang, Xiaoming He, and Xiaofeng Yang. Decoupled, linear, and unconditionally energy stable fully-discrete finite element numerical scheme for a two-phase ferrohydrodynamics model, SIAM Journal on Scientific Computing, 43(1): B167-B193, 2021.
     
  45. Chang Lu, Jie Wan, Yong Cao, and Xiaoming He. A fully decoupled iterative method with three-dimensional anisotropic immersed finite elements for Kaufman-type discharge problems, Computer Methods in Applied Mechanics and Engineering, 372: #113345, 2020.
     
  46. Yanan Xing, Lina Song, Xiaoming He, and Changxin Qiu. A generalized finite difference method for solving elliptic interface problems, Mathematics and Computers in Simulation, 178: 109-124, 2020.
     
  47. Hongtao Liu, Feng Shi, Jie Wan, Xiaoming He, and Yong Cao. Discrete unified gas kinetic scheme for a reformulated BGK-Vlasov-Poisson system with a wide range of Knudsen number and normalized Debye length, Computer Physics Communications, 255: #107400, 2020.
     
  48. Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu, Yifan Wang, and Haibiao Zheng. A coupled multi-physics model and a decoupled stabilized finite element method for closed-loop geothermal system, SIAM Journal on Scientific Computing, 42(4): B951–B982, 2020.
     
  49. Changxin Qiu, Xiaoming He, Jian Li, and Yanping Lin. A domain decomposition method with Lagrange multipliers and implicit schemes for the time-dependent Navier-Stokes-Darcy model with defective boundary condition, Journal of Computational Physics, 411: #109400, 2020.
     
  50. Feng Bai, Daozhi Han, Xiaoming He, and Xiaofeng Yang. Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields, Communications in Nonlinear Science and Numerical Simulation, 85: #105213, 2020.
     
  51. Chang Lu, Zhi Yang, Jinwei Bai, Yong Cao, and Xiaoming He. Three-dimensional immersed finite element method for anisotropic magnetostatic/electrostatic interface problems with non-homogeneous flux jump, International Journal for Numerical Methods in Engineering, 121(10): 2107-2127, 2020.
     
  52. Guodong Zhang, Xiaoming He, and Xiaofeng Yang. Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations, Journal of Computational and Applied Mathematics, 369: #112636, 2020.
     
  53. Rui Li, Yali Gao, Jie Chen, Li Zhang, Xiaoming He, and Zhangxin Chen. Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model, Advances in Computational Mathematics, 46: #25, 2020.
     
  54. Xiaoming He, Nan Jiang, and Changxin Qiu, An artificial compressibility ensemble algorithm for a stochastic Stokes-Darcy model with random hydraulic conductivity and interface conditions, International Journal for Numerical Methods in Engineering, 121(4): 712-739, 2020.
     
  55. Yandong Zhang, Chuanle Zhou, Chuang Qu, Mingzhen Wei, Xiaoming He, and Baojun Bai. Fabrication and verification of a glass-silicon-glass micro-/nanofluidic model for investigating multi-phase flow in shale-like unconventional dual-porosity tight porous media, Lab on a Chip, 19: 4071-4082, 2019.
     
  56. Jing Lu, Botao Zhou, Md. Motiur Rahman, and Xiaoming He. New solution to the pressure transient equation in a two-layer reservoir with crossflow, Journal of Computational and Applied Mathematics, 362: 680-693, 2019.
     
  57. Fubiao Lin, Xiaoming He, and Xiaoxia Wen. Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model, Applied Mathematics Letters, 98: 248-255, 2019.
     
  58. Jinjin Yang, Shipeng Mao, Xiaoming He, Xiaofeng Yang, and Yinnian He. A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamics flows, Computer Methods in Applied Mechanics and Engineering, 356: 435-464, 2019.
     
  59. Guodong Zhang, Xiaoming He, Xiaofeng Yang. A decoupled, linear and unconditionally energy stable  scheme with finite element discretizations for magneto-hydrodynamic equations, Journal of Scientific Computing, 81: 1678–1711, 2019.
     
  60. Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu, and Haibiao Zheng. Coupled and decoupled stabilized mixed finite element methods for non-stationary dual-porosity-Stokes fluid flow model, International Journal for Numerical Methods in Engineering, 120(6): 803-833, 2019.
     
  61. Chen Xu, Chuanjun Chen, Xiaofeng Yang, and Xiaoming He. Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second order, linear, unconditionally energy stable schemes, Communications in Mathematical Sciences, 17(3): 835-858, 2019.
     
  62. Xiaofeng Yang, Guodong Zhang, and Xiaoming He. Convergence analysis of an  unconditionally energy stable projection scheme for magneto-hydrodynamic equations, Applied Numerical Mathematics, 136: 235-256, 2019.
     
  63. Xiaofeng Yang, Jia Zhao, and Xiaoming He. Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method, Journal of Computational and Applied Mathematics, 343(1): 80-97, 2018.
     
  64. Rui Li, Jian Li, Xiaoming He, and Zhangxin Chen. A stabilized finite volume element method for a coupled Stokes-Darcy problem, Applied Numerical Mathematics, 133: 2-24, 2018.
     
  65. Jinwei Bai, Yong Cao, Xiaoming He, Hongyan Liu, and Xiaofeng Yang. Modeling and an immersed finite element method for an interface wave equation, Computers and Mathematics with Applications, 76(7): 1625-1638, 2018.
     
  66. Xiaoming He, Weiwei Hu, and Yangwen Zhang. Observer based feedback boundary stabilization of the Navier-Stokes equation, Computer Methods in Applied Mechanics and Engineering, 339(1): 542-556, 2018.
     
  67. Qiumei Huang, Xiaofeng Yang and Xiaoming He. Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes, Discrete and Continuous Dynamical Systems – Series B, 23(6): 2177-2192, 2018.
     
  68. Daoru Han, Joseph Wang, and Xiaoming He. Immersed-finite-element particle-in-cell simulations of plasma charging at lunar terminator, Journal of Spacecraft and Rockets, 55(6): 1490-1497, 2018.
     
  69. Huijun Cao, Yong Cao, Yuchuan Chu, Xiaoming He, and Tao Lin. A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface, Communications in Nonlinear Science and Numerical Simulation, 59: 132-148, 2018.
     
  70. Max Gunzburger, Xiaoming He, and Buyang Li. On Ritz projection and multi-step backward differentiation schemes in decoupling the Stokes-Darcy model, SIAM Journal on Numerical Analysis, 56(1): 397-427, 2018.
     
  71. Yali Gao, Xiaoming He, Liquan Mei, and Xiaofeng Yang. Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model, SIAM Journal on Scientific Computing, 40(1): B110-B137, 2018.
     
  72. Feng Bai, Xiaoming He, Xiaofeng Yang, Ran Zhou, and Cheng Wang. Three dimensional phase-field investigation of droplet formation in microfluidic flow focusing devices with experimental validation, International Journal of Multiphase Flow, 93: 130-141, 2017.
     
  73. Yuchuan Chu, Daoru Han, Yong Cao, Xiaoming He, and Joseph Wang. An immersed-finite-element particle-in-cell simulation tool for plasma surface interaction, International Journal of Numerical Analysis and Modeling, 14(2): 175-200, 2017.
     
  74. Jiangyong Hou, Meilan Qiu, Xiaoming He, Chaohua Guo, Mingzhen Wei, and Baojun Bai. A dual-porosity-Stokes model and finite element method for coupling dual-porosity flow and free flow, SIAM Journal on Scientific Computing, 38(5): B710–B739, 2016.
     
  75. Daoru Han, Pu Wang, Xiaoming He, Tao Lin, and Joseph Wang. A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions, Journal of Computational Physics, 321: 965-980, 2016.
     
  76. Daoru Han, Joseph Wang, and Xiaoming He. A non-Homogeneous immersed-finite-element particle-in-cell method for modeling dielectric surface charging in plasmas, IEEE Transactions on Plasma Science, 44(8): 1326-1332, 2016.
     
  77. John A. Burns, Xiaoming He, and Weiwei Hu. Feedback stabilization of a thermal fluid system with mixed boundary control, Computers and Mathematics with Applications, in honor of Max Gunzburger’s 70th birthday, 71(11): 2170–2191, 2016.
     
  78. Chong Chen, Xiaoming He, and Jin Huang. Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation, Applied Numerical Mathematics, 96: 165-179, 2015.
     
  79. Xiaoming He, Jian Li, Yanping Lin, and Ju Ming. A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition, SIAM Journal on Scientific Computing, 37(5): S264–S290, 2015.
     
  80. Chaolang Hu, Xiaoming He, and Tao Lü. Euler-Maclaurin expansions and approximations of hypersingular integrals, Discrete and Continuous Dynamical Systems, Series B, 20(5): 1355-1375, 2015.
     
  81. Honghua Jian, Yuchuan Chu, Huijun Cao, Yong Cao, Xiaoming He, and Guangqing Xia. Three-dimensional IFE-PIC numerical simulation of background pressure’s effect on accelerator grid impingement current for ion optics, Vacuum, 116: 130-138, 2015.
     
  82. Yong Cao, Yuchuan Chu, Xiaoming He, and Tao Lin. An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity, Journal of Computational Physics, 281: 82-95, 2015.
     
  83. Yanzhao Cao, Max Gunzburger, Xiaoming He, and Xiaoming Wang. Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems, Mathematics of Computation, 83(288): 1617-1644, 2014.
     
  84. Chaolang Hu, Jing Lu, and Xiaoming He. Numerical solutions of a hypersingular integral equation with application to productivity formulae of horizontal wells producing at constant wellbore pressure, International Journal of Numerical Analysis and Modeling, Series B, 5(3): 269-288, 2014.
     
  85. Xiaoming He, Tao Lin, and Yanping Lin. A selective immersed discontinuous Galerkin method for elliptic interface problems, Mathematical Methods in the Applied Sciences, 37(7): 983–1002, 2014.
     
  86. Wenqiang Feng, Xiaoming He, Yanping Lin, and Xu Zhang. Immersed finite element method for interface problems with algebraic multigrid solver, Communications in Computational Physics, 15(4): 1045-1067, 2014.
     
  87. Yong Cao, Yuchuan Chu, Xiaoming He, and Mingzhen Wei. Decoupling the stationary Navier-Stokes-Darcy system with the Beavers-Joseph-Saffman interface condition, Abstract and Applied Analysis, vol. 2013, Article ID 136483, 10 pages, 2013.
     
  88. Xiaoming He, Tao Lin, Yanping Lin, and Xu Zhang. Immersed finite element methods for parabolic equations with moving interface, Numerical Methods for Partial Differential Equations, 29(2): 619-646, 2013.
     
  89. Wenqiang Feng, Xiaoming He, Zhu Wang, and Xu Zhang. Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition, Applied Mathematics and Computation, 219(2): 453-463, 2012.
     
  90. Chaolang Hu, Jing Lu, and Xiaoming He. Productivity formulae of an infinite-conductivity hydraulically fractured well producing at constant wellbore pressure based on numerical solutions of a weakly singular integral equation of the first kind, Mathematical Problems in Engineering, vol. 2012, Article ID 428596, 18 pages, 2012.
     
  91. Xiaoming He, Tao Lin, and Yanping Lin. The convergence of the bilinear and linear immersed finite element solutions to interface problems, Numerical Methods for Partial Differential Equations, 28(1): 312-330, 2012.
     
  92. Jin Huang, Guang Zeng, Xiaoming He, and Zicai Li. Splitting extrapolation algorithms for first kind boundary integral equations with singularities by mechanical quadrature methods, Advances in Computational Mathematics, 36(1): 79-97, 2012.
     
  93. Yuchuan Chu, Yong Cao, Xiaoming He, and Min Luo. Asymptotic boundary conditions for two-dimensional electrostatic field problems with immersed finite elements, Computer Physics Communications, 182(11): 2331-2338, 2011.
     
  94. Huilei Han, Xiaoming He, Yaping Liu, and Tao Lü. Extrapolation for solving system of weakly singular nonlinear Volterra integral equations of the second kind, International Journal of Computer Mathematics, 88(16): 3507-3520, 2011.
     
  95. Yanzhao Cao, Max Gunzburger, Xiaoming He, and Xiaoming Wang. Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beaver-Joseph interface condition, Numerische Mathematik, 117(4): 601-629, 2011.
     
  96. Xiaoming He, Tao Lin, and Yanping Lin. Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions, International Journal of Numerical Analysis and Modeling, 8(2): 284-301, 2011.
     
  97. Yong Cao, Xiaoming He, and Tao Lü. An algorithm using finite volume element method and its splitting extrapolation for second-order elliptic problems, Journal of Computational and Applied Mathematics, 235(13): 3734-3742, 2011.
     
  98. Xiaoming He, Tao Lin and Yanping Lin. Interior penalty discontinuous Galerkin methods with bilinear IFE for a second order elliptic equation with discontinuous coefficient, dedicated to David Russell’s 70th birthday, Journal of Systems Science and Complexity, 23(3): 467-483, 2010.
     
  99. Lu Pan, Xiaoming He, and Tao Lü. High accuracy combination methods for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind, Mathematical Problems in Engineering, vol. 2010, Article ID 901587, 21 pages, 2010.
     
  100. Xiaoming He and Tao Lü. A finite element splitting extrapolation for second order hyperbolic equations, SIAM Journal on Scientific Computing, 31(6): 4244-4265, 2009.
     
  101. Xiaoming He, Tao Lin, and Yanping Lin. A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient, dedicated to Richard E. Ewing on the occasion of his 60th birthday, Communications in Computational Physics, 6(1): 185-202, 2009.
     
  102. Yong Cao, Xiaoming He, and Tao Lü. A splitting extrapolation for solving nonlinear elliptic equations with d-quadratic finite elements, Journal of Computational Physics, 228(1): 109-122, 2009.
     
  103. Joseph Wang, Xiaoming He, and Yong Cao. Modeling electrostatic levitation of dusts on lunar surface, IEEE Transactions on Plasma Science, 36(5): 2459-2466, 2008.
     
  104. Xiaoming He, Tao Lin, and Yanping Lin. Approximation capability of a bilinear immersed finite element space, Numerical Methods for Partial Differential Equations, 24(5): 1265-1300, 2008.
     
  105. Xiaoming He and Tao Lü. Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements, International Journal of Computer Mathematics, 84(6): 767 -781, 2007.

Conference Publications

  1. Daoru Han, Guy E. Brawley, and Xiaoming He. Development of PIFE-PIC-ESP: Parallel immersed finite element particle-in-cell for electroSpray propulsion. #AIAA 2024-1543, AIAA SciTech 2024 Forum, Orlando, Florida, January 8-12, 2024.
     
  2. David Lund, Xiaoming He, and Daoru Han. Charging of irregularly-shaped dust grains near surfaces in space, #AIAA 2023-2616, AIAA SciTech 2023 Forum, National Harbor, Maryland & Virtual Conference, January 23-27, 2023.
     
  3. Jianxun Zhao, Guirong Yan, Xiaoming He, and Daoru Han. Kinetic particle simulations of plasma charging and dust transport near uneven lunar surface terrain, #AIAA 2022-1988, AIAA Scitech 2022 Forum, San Diego, California & Virtual Conference, January 3-7, 2022.
     
  4. Jianxun Zhao, Xinpeng Wei, Xiaoming He, Daoru Han, and Xiaoping Du. Fully-kinetic particle-in-cell simulations of photoelectron sheath on uneven lunar surface, #AIAA-2021-1433, AIAA Scitech 2021 Forum, Virtual Conference, January 11-15, 2021.
     
  5. Jianxun Zhao, Xinpeng Wei, Zhangli Hu, Xiaoming He, and Daoru Han. Photoelectron sheath near the lunar surface: fully kinetic modeling and uncertainty quantification analysis, #AIAA 2020-1548, AIAA Scitech 2020 Forum, Orlando, Florida, January 6-10, 2020.
     
  6. Craig Douglas, Xiukun Hu, Baojun Bai, Xiaoming He, Mingzhen Wei, Jiangyong Hou. A data assimilation enabled model for coupling dual porosity flow with free flow, DOI: 10.1109/DCABES.2018.00085, 17th International Symposium on Distributed Computing and Applications for Business Engineering and Science (DCABES), Wuxi, China, October 19-23, 2018.
     
  7. Daoru Han, Xiaoming He, Joseph Wang. PIFE-PIC: A 3-D parallel immersed finite element particle-in-cell framework for plasma simulations, #AIAA-2018-2196, 2018 AIAA Aerospace Sciences Meeting, Kissimmee, Florida, January 8-12, 2018.
     
  8. Chaohua Guo, Jiaqi Wang, Baojun Bai, Xiaoming He, and Mingzhen Wei. Multi-stage fractured horizontal well numerical simulation and its application in tight shale reservoirs, SPE-176714, Society of Petroleum Engineers, SPE Russian Petroleum Technology Conference, Moscow, Russia, October 26–28, 2015.
     
  9. Daniel Depew, Daoru Han, Joseph Wang, Xiaoming He, and Tao Lin. Immersed-Finite-Element Particle-In-Cell simulations of lunar surface charging, #199, 13th Spacecraft Charging Technology Conference, Pasadena, California, June 23-27, 2014.
     
  10. Chaohua Guo, Mingzhen Wei, Haowei Chen, Xiaoming He, and Baojun Bai. Improved numerical simulation for shale gas reservoirs, OTC-24913, Offshore Technology Conference Asia, Kuala Lumpur, Malaysia, March 25–28, 2014.
     
  11. Chaohua Guo, Baojun Bai, Mingzhen Wei, Xiaoming He, and Yushu Wu. Study on gas flow in nano pores of shale gas reservoirs, SPE-167179, Society of Petroleum Engineers, SPE Unconventional Resources Conference-Canada, Calgary, Canada, November 5-7, 2013.
     
  12. John A. Burns, Xiaoming He, and Weiwei Hu. Control of the Boussinesq equations with implications for sensor location in energy efficient building, American Control Conference, pp. 2232-2237, Montréal, Canada, June 27-29, 2012.
     
  13. Huilei Han, Yaping Liu, Tao Lü, and Xiaoming He. New Algorithm for the system of nonlinear weakly singular Volterra integral equations of the second kind and integro-differential equations, Seventh International Conference on Scientific Computing and Applications, pp. 1229-1235, Dalian, China, June 13-16, 2010.
     
  14. Joseph Wang, Xiaoming He, and Yong Cao. Modeling spacecraft charging and charged dust particle interactions on lunar surface, 10th Spacecraft Charging Technology Conference, Biarritz, France, June 18-21, 2007.