Edit Profile (opens in new tab) He, Xiaoming Compute Distance To: Compute Author ID: he.xiaoming.1 Published as: He, Xiaoming; He, XiaoMing; He, X.-M. more...less Documents Indexed: 77 Publications since 1991 3 Contributions as Editor Co-Authors: 80 Co-Authors with 66 Joint Publications 2,495 Co-Co-Authors all top 5 Co-Authors 3 single-authored 13 Yang, Xiaofeng 10 Lin, Tao 10 Lin, Yanping 9 Cao, Yong 7 Lu, Tao 5 Chu, Yuchuan 5 Qiu, Changxin 5 Zhang, Guodong 4 Zhang, Xu 3 Gao, Yali 3 Gunzburger, Max D. 3 Han, Daoru 3 Han, Daozhi 3 Hu, Chaolang 3 Huang, Jin 3 Li, Jian 3 Lu, Jing 3 Ming, Ju 2 Cao, Yanzhao 2 Chen, Zhangxin 2 Feng, Wenqiang 2 He, Yinnian 2 Hou, Jiangyong 2 Hu, Weiwei 2 Li, Maojun 2 Li, Xuejian 2 Liu, Hongyan 2 Meng, Yuxi 2 Van Vleck, Erik S. 2 Wang, Xiaoming 2 Wang, Zhu 2 Wei, Mingzhen 1 Al Mahbub, Md. Abdullah 1 Bai, Baojun 1 Bai, Feng 1 Bai, Jinwei 1 Bohr, Tomas 1 Burns, John A. 1 Cao, Huijun 1 Chen, Chong 1 Chen, Chuanjun 1 Davidson, Peter Alan 1 Froese Fischer, Charlotte 1 Grant, Ian P. 1 Guo, Chaohua 1 Han, Huilei 1 Hou, Yuanyuan 1 Hu, Dan 1 Huang, Qiumei 1 Jonsson, Per R. 1 Karagozian, Ann R. 1 Kinnear, D. 1 Li, Buyang 1 Li, Xin 1 Li, Zi-Cai 1 Lin, Fubiao 1 Lingwood, R. J. 1 Liu, Jiangguo 1 Liu, Yaping 1 Liu, Yingzhi 1 Lu, Chang 1 Lund, David 1 Luo, Min 1 Mao, Shipeng 1 Mei, Liquan 1 Nasu, Nasrin Jahan 1 Oktay, Erdal 1 Pan, Lu 1 Pankavich, Stephen 1 Payli, Resat U. 1 Qiu, Meilan 1 Qu, Siqi 1 Rahman, Md. Motiur 1 Rasmussen, Jens Juul 1 Rüde, Ulrich 1 Shen, Jie 1 Short, D. J. 1 Song, Lina 1 Wan, Jie 1 Wang, Pu 1 Wang, Quan 1 Wang, Yifan 1 Wen, Xiaoxia 1 Wu, Yanyun 1 Xing, Yanan 1 Xu, Chen 1 Xu, Chuanju 1 Yan, Wenjing 1 Yang, Jinjin 1 Ye, Xiu 1 Zeng, Guang 1 Zhang, Xingrui 1 Zhang, Xinrui 1 Zhang, Yangwen 1 Zhao, Jia 1 Zheng, Haibiao 1 Zhou, Botao all top 5 Serials 7 SIAM Journal on Scientific Computing 6 Journal of Computational Physics 6 Journal of Computational and Applied Mathematics 5 Computer Methods in Applied Mechanics and Engineering 4 Computers & Mathematics with Applications 4 Applied Numerical Mathematics 4 Applied Mathematics Letters 3 Numerical Methods for Partial Differential Equations 3 Journal of Scientific Computing 2 Computer Physics Communications 2 International Journal of Computer Mathematics 2 Advances in Computational Mathematics 2 Mathematical Problems in Engineering 2 Communications in Nonlinear Science and Numerical Simulation 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Numerical Analysis and Modeling 2 Communications in Computational Physics 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 SIAM Journal on Numerical Analysis 1 Physics of Fluids 1 Abstract and Applied Analysis 1 European Journal of Mechanics. B. Fluids 1 Journal of Systems Science and Complexity 1 Communications in Mathematical Sciences 1 Discrete and Continuous Dynamical Systems. Series S 1 Scientia Sinica. Mathematica 1 Analysis and Mathematical Physics 1 International Journal of Numerical Analysis and Modeling. Series B 1 Advances in Nonlinear Analysis all top 5 Fields 55 Numerical analysis (65-XX) 43 Fluid mechanics (76-XX) 37 Partial differential equations (35-XX) 6 Optics, electromagnetic theory (78-XX) 4 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 General and overarching topics; collections (00-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 63 Publications have been cited 1,003 times in 399 Documents Cited by ▼ Year ▼ Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155He, Xiaoming; Lin, Tao; Lin, Yanping 86 2011 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 76 2014 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 71 2011 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090He, Xiaoming; Lin, Tao; Lin, Yanping 69 2008 A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1325.76119He, Xiaoming; Li, Jian; Lin, Yanping; Ming, Ju 45 2015 Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model. Zbl 1426.76261Gao, Yali; He, Xiaoming; Mei, Liquan; Yang, Xiaofeng 44 2018 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 41 2013 Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method. Zbl 1462.65117Yang, Xiaofeng; Zhao, Jia; He, Xiaoming 39 2018 Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1302.76173Feng, Wenqiang; He, Xiaoming; Wang, Zhu; Zhang, Xu 37 2012 The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090He, Xiaoming; Lin, Tao; Lin, Yanping 35 2012 A dual-porosity-Stokes model and finite element method for coupling dual-porosity flow and free flow. Zbl 1457.65112Hou, Jiangyong; Qiu, Meilan; He, Xiaoming; Guo, Chaohua; Wei, Mingzhen; Bai, Baojun 32 2016 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225He, X.-M.; Lin, T.; Lin, Y. 29 2009 Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. Zbl 1205.35010He, Xiaoming; Lin, Tao; Lin, Yanping 27 2010 On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 1465.65094Gunzburger, Max; He, Xiaoming; Li, Buyang 23 2018 Decoupling the stationary Navier-Stokes-Darcy system with the Beavers-Joseph-Saffman interface condition. Zbl 1311.76131Cao, Yong; Chu, Yuchuan; He, Xiaoming; Wei, Mingzhen 22 2013 A stabilized finite volume element method for a coupled Stokes-Darcy problem. Zbl 1404.65221Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin 21 2018 Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes. Zbl 1408.65094Huang, Qiumei; Yang, Xiaofeng; He, Xiaoming 21 2018 A selective immersed discontinuous Galerkin method for elliptic interface problems. Zbl 1292.65126He, Xiaoming; Lin, Tao; Lin, Yanping 16 2014 Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations. Zbl 1405.76026Yang, Xiaofeng; Zhang, Guo-Dong; He, Xiaoming 16 2019 A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping 16 2020 Immersed finite element method for interface problems with algebraic multigrid solver. Zbl 1388.65177Feng, Wenqiang; He, Xiaoming; Lin, Yanping; Zhang, Xu 16 2014 A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. Zbl 1441.76143Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian 15 2019 Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy-stable schemes. Zbl 1450.65090Xu, Chen; Chen, Chuanjun; Yang, Xiaofeng; He, Xiaoming 15 2019 A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions. Zbl 1349.76212Han, Daoru; Wang, Pu; He, Xiaoming; Lin, Tao; Wang, Joseph 15 2016 An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity. Zbl 1351.78045Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao 13 2015 A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations. Zbl 1432.76172Zhang, Guo-Dong; He, XiaoMing; Yang, XiaoFeng 10 2019 Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model. Zbl 1433.65250Lin, Fubiao; He, Xiaoming; Wen, Xiaoxia 10 2019 Asymptotic boundary conditions with immersed finite elements for interface magnetostatic/electrostatic field problems with open boundary. Zbl 1308.78006Chu, Yuchuan; Cao, Yong; He, Xiaoming; Luo, Min 9 2011 Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations. Zbl 1447.65039Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng 9 2020 Vortex merging and spectral cascade in two-dimensional flows. Zbl 1027.76516Nielsen, A. H.; He, X.; Rasmussen, J. Juul; Bohr, T. 8 1996 Modeling and an immersed finite element method for an interface wave equation. Zbl 1434.65172Bai, Jinwei; Cao, Yong; He, Xiaoming; Liu, Hongyan; Yang, Xiaofeng 7 2018 Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin 7 2020 Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and \(d\)-quadratic isoparametric finite elements. Zbl 1122.65084He, Xiaoming; Lü, Tao 6 2007 A finite element splitting extrapolation for second order hyperbolic equations. Zbl 1205.65269He, Xiaoming; Lü, Tao 6 2009 A splitting extrapolation for solving nonlinear elliptic equations with \(d\)-quadratic finite elements. Zbl 1159.65091Cao, Yong; He, Xiaoming; Lü, Tao 6 2009 A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system. Zbl 1459.76076Abdullah Al Mahbub, Md.; He, Xiaoming; Nasu, Nasrin Jahan; Qiu, Changxin; Wang, Yifan; Zheng, Haibiao 6 2020 A generalized finite difference method for solving elliptic interface problems. Zbl 07318131Xing, Yanan; Song, Lina; He, Xiaoming; Qiu, Changxin 6 2020 Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. Zbl 1469.65152Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng 6 2021 Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods. Zbl 1381.45005Huang, Jin; Zeng, Guang; He, Xiaoming; Li, Zi-Cai 5 2012 Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation. Zbl 1330.76090Chen, Chong; He, Xiaoming; Huang, Jin 5 2015 Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. Zbl 1460.76773Bai, Feng; Han, Daozhi; He, Xiaoming; Yang, Xiaofeng 5 2020 Existence and weak-strong uniqueness of solutions to the Cahn-Hilliard-Navier-Stokes-Darcy system in superposed free flow and porous media. Zbl 1475.35279Han, Daozhi; He, Xiaoming; Wang, Quan; Wu, Yanyun 5 2021 A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Zbl 1476.76050Liu, Yingzhi; He, Yinnian; Li, Xuejian; He, Xiaoming 5 2021 An algorithm using the finite volume element method and its splitting extrapolation. Zbl 1218.65118Cao, Yong; He, Xiaoming; Lü, Tao 4 2011 An Immersed-Finite-Element Particle-in-Cell simulation tool for plasma surface interaction. Zbl 1365.76112Chu, Yuchuan; Han, Daoru; Cao, Yong; He, Xiaoming; Wang, Joseph 4 2017 Numerical simulation of pulse detonation engine phenomena. Zbl 1081.76574He, X.; Karagozian, A. R. 4 2003 A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. Zbl 07263332Cao, Huijun; Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao 4 2018 Feedback stabilization of a thermal fluid system with mixed boundary control. Zbl 1443.76128Burns, John A.; He, Xiaoming; Hu, Weiwei 3 2016 A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system. Zbl 07464507Yang, Xiaofeng; He, Xiaoming 3 2022 High accuracy combination method for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind. Zbl 1192.65163Pan, Lu; He, Xiaoming; Lü, Tao 2 2010 Numerical solutions of a hypersingular integral equation with application to productivity formulae of horizontal wells producing at constant wellbore pressure. Zbl 1463.65422Hu, Chaolang; Lu, Jing; He, Xiaoming 2 2014 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. Zbl 1264.76079Hu, Chaolang; Lu, Jing; He, Xiaoming 2 2012 Observer-based feedback boundary stabilization of the Navier-Stokes equations. Zbl 1440.93086He, Xiaoming; Hu, Weiwei; Zhang, Yangwen 2 2018 Euler-Maclaurin expansions and approximations of hypersingular integrals. Zbl 1337.65022Hu, Chaolang; He, Xiaoming; Lü, Tao 2 2015 Modeling and a Robin-type decoupled finite element method for dual-porosity-Navier-Stokes system with application to flows around multistage fractured horizontal wellbore. Zbl 07442805Hou, Jiangyong; Hu, Dan; He, Xiaoming; Qiu, Changxin 2 2022 Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind. Zbl 1258.65109Han, Huilei; He, Xiaoming; Liu, Yaping; Lü, Tao 1 2011 Uniform convergence of polynomials associated with varying Jacobi weights. Zbl 0749.41011He, X.; Li, X. 1 1991 The role of Ekman pumping and the dominance of swirl in confined flows driven by Lorentz forces. Zbl 0947.76093Davidson, P. A.; Kinnear, D.; Lingwood, R. J.; Short, D. J.; He, X. 1 1999 New solution to the pressure transient equation in a two-layer reservoir with crossflow. Zbl 1459.76149Lu, Jing; Zhou, Botao; Rahman, Md. Motiur; He, Xiaoming 1 2019 A fully decoupled iterative method with three-dimensional anisotropic immersed finite elements for Kaufman-type discharge problems. Zbl 07337841Lu, Chang; Wan, Jie; Cao, Yong; He, Xiaoming 1 2020 Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials. Zbl 1472.35169Meng, Yuxi; Zhang, Xinrui; He, Xiaoming 1 2021 Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents. Zbl 1475.35017He, Xiaoming 1 2021 A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition. Zbl 07458294Yang, Zhipeng; Ming, Ju; Qiu, Changxin; Li, Maojun; He, Xiaoming 1 2022 A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system. Zbl 07464507Yang, Xiaofeng; He, Xiaoming 3 2022 Modeling and a Robin-type decoupled finite element method for dual-porosity-Navier-Stokes system with application to flows around multistage fractured horizontal wellbore. Zbl 07442805Hou, Jiangyong; Hu, Dan; He, Xiaoming; Qiu, Changxin 2 2022 A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition. Zbl 07458294Yang, Zhipeng; Ming, Ju; Qiu, Changxin; Li, Maojun; He, Xiaoming 1 2022 Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. Zbl 1469.65152Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng 6 2021 Existence and weak-strong uniqueness of solutions to the Cahn-Hilliard-Navier-Stokes-Darcy system in superposed free flow and porous media. Zbl 1475.35279Han, Daozhi; He, Xiaoming; Wang, Quan; Wu, Yanyun 5 2021 A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Zbl 1476.76050Liu, Yingzhi; He, Yinnian; Li, Xuejian; He, Xiaoming 5 2021 Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials. Zbl 1472.35169Meng, Yuxi; Zhang, Xinrui; He, Xiaoming 1 2021 Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents. Zbl 1475.35017He, Xiaoming 1 2021 A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping 16 2020 Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations. Zbl 1447.65039Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng 9 2020 Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin 7 2020 A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system. Zbl 1459.76076Abdullah Al Mahbub, Md.; He, Xiaoming; Nasu, Nasrin Jahan; Qiu, Changxin; Wang, Yifan; Zheng, Haibiao 6 2020 A generalized finite difference method for solving elliptic interface problems. Zbl 07318131Xing, Yanan; Song, Lina; He, Xiaoming; Qiu, Changxin 6 2020 Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. Zbl 1460.76773Bai, Feng; Han, Daozhi; He, Xiaoming; Yang, Xiaofeng 5 2020 A fully decoupled iterative method with three-dimensional anisotropic immersed finite elements for Kaufman-type discharge problems. Zbl 07337841Lu, Chang; Wan, Jie; Cao, Yong; He, Xiaoming 1 2020 Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations. Zbl 1405.76026Yang, Xiaofeng; Zhang, Guo-Dong; He, Xiaoming 16 2019 A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. Zbl 1441.76143Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian 15 2019 Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy-stable schemes. Zbl 1450.65090Xu, Chen; Chen, Chuanjun; Yang, Xiaofeng; He, Xiaoming 15 2019 A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations. Zbl 1432.76172Zhang, Guo-Dong; He, XiaoMing; Yang, XiaoFeng 10 2019 Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model. Zbl 1433.65250Lin, Fubiao; He, Xiaoming; Wen, Xiaoxia 10 2019 New solution to the pressure transient equation in a two-layer reservoir with crossflow. Zbl 1459.76149Lu, Jing; Zhou, Botao; Rahman, Md. Motiur; He, Xiaoming 1 2019 Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model. Zbl 1426.76261Gao, Yali; He, Xiaoming; Mei, Liquan; Yang, Xiaofeng 44 2018 Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method. Zbl 1462.65117Yang, Xiaofeng; Zhao, Jia; He, Xiaoming 39 2018 On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 1465.65094Gunzburger, Max; He, Xiaoming; Li, Buyang 23 2018 A stabilized finite volume element method for a coupled Stokes-Darcy problem. Zbl 1404.65221Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin 21 2018 Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes. Zbl 1408.65094Huang, Qiumei; Yang, Xiaofeng; He, Xiaoming 21 2018 Modeling and an immersed finite element method for an interface wave equation. Zbl 1434.65172Bai, Jinwei; Cao, Yong; He, Xiaoming; Liu, Hongyan; Yang, Xiaofeng 7 2018 A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. Zbl 07263332Cao, Huijun; Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao 4 2018 Observer-based feedback boundary stabilization of the Navier-Stokes equations. Zbl 1440.93086He, Xiaoming; Hu, Weiwei; Zhang, Yangwen 2 2018 An Immersed-Finite-Element Particle-in-Cell simulation tool for plasma surface interaction. Zbl 1365.76112Chu, Yuchuan; Han, Daoru; Cao, Yong; He, Xiaoming; Wang, Joseph 4 2017 A dual-porosity-Stokes model and finite element method for coupling dual-porosity flow and free flow. Zbl 1457.65112Hou, Jiangyong; Qiu, Meilan; He, Xiaoming; Guo, Chaohua; Wei, Mingzhen; Bai, Baojun 32 2016 A 3D immersed finite element method with non-homogeneous interface flux jump for applications in particle-in-cell simulations of plasma-lunar surface interactions. Zbl 1349.76212Han, Daoru; Wang, Pu; He, Xiaoming; Lin, Tao; Wang, Joseph 15 2016 Feedback stabilization of a thermal fluid system with mixed boundary control. Zbl 1443.76128Burns, John A.; He, Xiaoming; Hu, Weiwei 3 2016 A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1325.76119He, Xiaoming; Li, Jian; Lin, Yanping; Ming, Ju 45 2015 An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity. Zbl 1351.78045Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao 13 2015 Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation. Zbl 1330.76090Chen, Chong; He, Xiaoming; Huang, Jin 5 2015 Euler-Maclaurin expansions and approximations of hypersingular integrals. Zbl 1337.65022Hu, Chaolang; He, Xiaoming; Lü, Tao 2 2015 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 76 2014 A selective immersed discontinuous Galerkin method for elliptic interface problems. Zbl 1292.65126He, Xiaoming; Lin, Tao; Lin, Yanping 16 2014 Immersed finite element method for interface problems with algebraic multigrid solver. Zbl 1388.65177Feng, Wenqiang; He, Xiaoming; Lin, Yanping; Zhang, Xu 16 2014 Numerical solutions of a hypersingular integral equation with application to productivity formulae of horizontal wells producing at constant wellbore pressure. Zbl 1463.65422Hu, Chaolang; Lu, Jing; He, Xiaoming 2 2014 Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu 41 2013 Decoupling the stationary Navier-Stokes-Darcy system with the Beavers-Joseph-Saffman interface condition. Zbl 1311.76131Cao, Yong; Chu, Yuchuan; He, Xiaoming; Wei, Mingzhen 22 2013 Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1302.76173Feng, Wenqiang; He, Xiaoming; Wang, Zhu; Zhang, Xu 37 2012 The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090He, Xiaoming; Lin, Tao; Lin, Yanping 35 2012 Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods. Zbl 1381.45005Huang, Jin; Zeng, Guang; He, Xiaoming; Li, Zi-Cai 5 2012 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. Zbl 1264.76079Hu, Chaolang; Lu, Jing; He, Xiaoming 2 2012 Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155He, Xiaoming; Lin, Tao; Lin, Yanping 86 2011 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 71 2011 Asymptotic boundary conditions with immersed finite elements for interface magnetostatic/electrostatic field problems with open boundary. Zbl 1308.78006Chu, Yuchuan; Cao, Yong; He, Xiaoming; Luo, Min 9 2011 An algorithm using the finite volume element method and its splitting extrapolation. Zbl 1218.65118Cao, Yong; He, Xiaoming; Lü, Tao 4 2011 Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind. Zbl 1258.65109Han, Huilei; He, Xiaoming; Liu, Yaping; Lü, Tao 1 2011 Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. Zbl 1205.35010He, Xiaoming; Lin, Tao; Lin, Yanping 27 2010 High accuracy combination method for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind. Zbl 1192.65163Pan, Lu; He, Xiaoming; Lü, Tao 2 2010 A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225He, X.-M.; Lin, T.; Lin, Y. 29 2009 A finite element splitting extrapolation for second order hyperbolic equations. Zbl 1205.65269He, Xiaoming; Lü, Tao 6 2009 A splitting extrapolation for solving nonlinear elliptic equations with \(d\)-quadratic finite elements. Zbl 1159.65091Cao, Yong; He, Xiaoming; Lü, Tao 6 2009 Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090He, Xiaoming; Lin, Tao; Lin, Yanping 69 2008 Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and \(d\)-quadratic isoparametric finite elements. Zbl 1122.65084He, Xiaoming; Lü, Tao 6 2007 Numerical simulation of pulse detonation engine phenomena. Zbl 1081.76574He, X.; Karagozian, A. R. 4 2003 The role of Ekman pumping and the dominance of swirl in confined flows driven by Lorentz forces. Zbl 0947.76093Davidson, P. A.; Kinnear, D.; Lingwood, R. J.; Short, D. J.; He, X. 1 1999 Vortex merging and spectral cascade in two-dimensional flows. Zbl 1027.76516Nielsen, A. H.; He, X.; Rasmussen, J. Juul; Bohr, T. 8 1996 Uniform convergence of polynomials associated with varying Jacobi weights. Zbl 0749.41011He, X.; Li, X. 1 1991 all cited Publications top 5 cited Publications all top 5 Cited by 512 Authors 46 He, Xiaoming 36 Yang, Xiaofeng 27 Lin, Tao 17 Hou, Yanren 15 Li, Jian 14 Zhang, Xu 14 Zheng, Haibiao 12 Lin, Yanping 11 Cao, Yong 11 Chen, Zhangxin 11 Ji, Haifeng 10 Chen, Chuanjun 9 Al Mahbub, Md. Abdullah 9 Guo, Ruchi 9 He, Yinnian 9 Hou, Songming 9 Li, Zhilin 9 Wang, Liqun 9 Zhang, Guodong 9 Zuo, Liyun 8 Chu, Yuchuan 8 Gao, Yali 7 Huang, Jin 7 Kwak, Do Young 7 Mei, Liquan 7 Qiu, Changxin 7 Shi, Liwei 7 Song, Lina 7 Zhang, Zhiyue 6 Adjerid, Slimane 6 Chen, Jinru 6 Du, Guangzhi 6 Shi, Feng 6 Zhang, Qian 6 Zhao, Jia 5 Huang, Yunqing 5 Li, Shishun 5 Pan, Kejia 5 Qin, Yi 5 Shan, Li 5 Si, Zhiyong 5 Zhuang, Qiao 4 Cao, Luling 4 Chen, Yanping 4 Dehghan Takht Fooladi, Mehdi 4 Feng, Xinlong 4 Hou, Jiangyong 4 Layton, William J. 4 Lee, Hyesuk Kwon 4 Li, Yibao 4 Lu, Tao 4 Nasu, Nasrin Jahan 4 Sánchez, Manuel A. 4 Sarkis, Marcus V. 4 Shi, Dongyang 4 Shiue, Ming-Cheng 4 Wang, Quanxiang 4 Wang, Yunxia 4 Yan, Wenjing 4 Yu, Jiaping 4 Zhang, Zhimin 4 Zhao, Shan 3 An, Rong 3 Chen, Yuan 3 Ervin, Vincent J. 3 Guan, Hongbo 3 Gunzburger, Max D. 3 Guzmán, Johnny 3 Hussain, Shahid 3 Jeon, Youngmok 3 Jiang, Nan 3 Jo, Gwanghyun 3 Kim, Junseok 3 Li, Buyang 3 Li, Tongmao 3 Li, Xiaoli 3 Ming, Ju 3 Mu, Lin 3 Rui, Hongxing 3 Siraj-ul-Islam 3 Su, Haiyan 3 Sun, Weiwei 3 Sun, Yizhong 3 Wang, Feng 3 Wang, Junjun 3 Wang, Junping 3 Wang, Kun 3 Wang, Qi 3 Wang, Yongshuai 3 Wei, Guowei 3 Xie, Jianqiang 3 Xing, Yanan 3 Yang, Qing 3 Zhai, Qilong 3 Zhang, Ran 3 Zhang, Shangyou 3 Zhao, Jianping 3 Zhao, Xin 2 An, Na 2 Aziz, Imran ...and 412 more Authors all top 5 Cited in 68 Serials 54 Journal of Computational and Applied Mathematics 40 Journal of Scientific Computing 31 Applied Numerical Mathematics 30 Journal of Computational Physics 28 Computers & Mathematics with Applications 27 Computer Methods in Applied Mechanics and Engineering 12 Applied Mathematics and Computation 12 Advances in Applied Mathematics and Mechanics 10 SIAM Journal on Numerical Analysis 10 Numerical Methods for Partial Differential Equations 9 Applied Mathematics Letters 8 SIAM Journal on Scientific Computing 8 Advances in Computational Mathematics 7 Numerical Algorithms 7 Engineering Analysis with Boundary Elements 6 International Journal of Computer Mathematics 5 Advances in Difference Equations 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Computational and Applied Mathematics 4 Mathematical Problems in Engineering 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications in Computational Physics 3 Computers and Fluids 3 Mathematics of Computation 3 Mathematics and Computers in Simulation 3 Numerische Mathematik 3 Japan Journal of Industrial and Applied Mathematics 3 Applied Mathematical Modelling 3 Computational Geosciences 2 Journal of Mathematical Analysis and Applications 2 Mathematical Methods in the Applied Sciences 2 Journal of Mathematical Fluid Mechanics 2 Journal of Numerical Mathematics 2 International Journal of Computational Methods 2 International Journal of Numerical Analysis and Modeling 2 Discrete and Continuous Dynamical Systems. Series S 2 East Asian Journal on Applied Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Electronic Research Archive 1 Applicable Analysis 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Bulletin of Mathematical Biology 1 Applied Mathematics and Optimization 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Journal of the Korean Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Applied Mathematics. Series B (English Edition) 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 European Journal of Control 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 International Journal of Applied Mathematics and Computer Science 1 Optimization and Engineering 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Science China. Mathematics 1 Journal of Mathematical Extension 1 Communications on Applied Mathematics and Computation 1 Results in Applied Mathematics all top 5 Cited in 20 Fields 354 Numerical analysis (65-XX) 188 Fluid mechanics (76-XX) 182 Partial differential equations (35-XX) 36 Mechanics of deformable solids (74-XX) 22 Statistical mechanics, structure of matter (82-XX) 10 Optics, electromagnetic theory (78-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Biology and other natural sciences (92-XX) 7 Systems theory; control (93-XX) 6 Integral equations (45-XX) 6 Probability theory and stochastic processes (60-XX) 5 Ordinary differential equations (34-XX) 5 Geophysics (86-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year