## He, Xiaoming

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 1211.65155
He, Xiaoming; Lin, Tao; Lin, Yanping
2011
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming
2014
Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming
2011
Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
2008
A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1325.76119
He, Xiaoming; Li, Jian; Lin, Yanping; Ming, Ju
2015
Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model. Zbl 1426.76261
Gao, Yali; He, Xiaoming; Mei, Liquan; Yang, Xiaofeng
2018
Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165
He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu
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 1462.65117
Yang, Xiaofeng; Zhao, Jia; He, Xiaoming
2018
Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1302.76173
Feng, Wenqiang; He, Xiaoming; Wang, Zhu; Zhang, Xu
2012
The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
2012
A dual-porosity-Stokes model and finite element method for coupling dual-porosity flow and free flow. Zbl 1457.65112
Hou, Jiangyong; Qiu, Meilan; He, Xiaoming; Guo, Chaohua; Wei, Mingzhen; Bai, Baojun
2016
A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225
He, X.-M.; Lin, T.; Lin, Y.
2009
Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. Zbl 1205.35010
He, Xiaoming; Lin, Tao; Lin, Yanping
2010
On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 1465.65094
Gunzburger, Max; He, Xiaoming; Li, Buyang
2018
Decoupling the stationary Navier-Stokes-Darcy system with the Beavers-Joseph-Saffman interface condition. Zbl 1311.76131
Cao, Yong; Chu, Yuchuan; He, Xiaoming; Wei, Mingzhen
2013
A stabilized finite volume element method for a coupled Stokes-Darcy problem. Zbl 1404.65221
Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin
2018
Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes. Zbl 1408.65094
Huang, Qiumei; Yang, Xiaofeng; He, Xiaoming
2018
A selective immersed discontinuous Galerkin method for elliptic interface problems. Zbl 1292.65126
He, Xiaoming; Lin, Tao; Lin, Yanping
2014
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations. Zbl 1405.76026
Yang, Xiaofeng; Zhang, Guo-Dong; He, Xiaoming
2019
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135
Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping
2020
Immersed finite element method for interface problems with algebraic multigrid solver. Zbl 1388.65177
Feng, Wenqiang; He, Xiaoming; Lin, Yanping; Zhang, Xu
2014
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. Zbl 1441.76143
Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian
2019
Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy-stable schemes. Zbl 1450.65090
Xu, Chen; Chen, Chuanjun; Yang, Xiaofeng; He, Xiaoming
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 1349.76212
Han, Daoru; Wang, Pu; He, Xiaoming; Lin, Tao; Wang, Joseph
2016
An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity. Zbl 1351.78045
Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao
2015
A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations. Zbl 1432.76172
Zhang, Guo-Dong; He, XiaoMing; Yang, XiaoFeng
2019
Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model. Zbl 1433.65250
Lin, Fubiao; He, Xiaoming; Wen, Xiaoxia
2019
Asymptotic boundary conditions with immersed finite elements for interface magnetostatic/electrostatic field problems with open boundary. Zbl 1308.78006
Chu, Yuchuan; Cao, Yong; He, Xiaoming; Luo, Min
2011
Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations. Zbl 1447.65039
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng
2020
Vortex merging and spectral cascade in two-dimensional flows. Zbl 1027.76516
Nielsen, A. H.; He, X.; Rasmussen, J. Juul; Bohr, T.
1996
Modeling and an immersed finite element method for an interface wave equation. Zbl 1434.65172
Bai, Jinwei; Cao, Yong; He, Xiaoming; Liu, Hongyan; Yang, Xiaofeng
2018
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin
2020
Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and $$d$$-quadratic isoparametric finite elements. Zbl 1122.65084
He, Xiaoming; Lü, Tao
2007
A finite element splitting extrapolation for second order hyperbolic equations. Zbl 1205.65269
He, Xiaoming; Lü, Tao
2009
A splitting extrapolation for solving nonlinear elliptic equations with $$d$$-quadratic finite elements. Zbl 1159.65091
Cao, Yong; He, Xiaoming; Lü, Tao
2009
A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system. Zbl 1459.76076
Abdullah Al Mahbub, Md.; He, Xiaoming; Nasu, Nasrin Jahan; Qiu, Changxin; Wang, Yifan; Zheng, Haibiao
2020
A generalized finite difference method for solving elliptic interface problems. Zbl 07318131
Xing, Yanan; Song, Lina; He, Xiaoming; Qiu, Changxin
2020
Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. Zbl 1469.65152
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng
2021
Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods. Zbl 1381.45005
Huang, Jin; Zeng, Guang; He, Xiaoming; Li, Zi-Cai
2012
Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation. Zbl 1330.76090
Chen, Chong; He, Xiaoming; Huang, Jin
2015
Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. Zbl 1460.76773
Bai, Feng; Han, Daozhi; He, Xiaoming; Yang, Xiaofeng
2020
Existence and weak-strong uniqueness of solutions to the Cahn-Hilliard-Navier-Stokes-Darcy system in superposed free flow and porous media. Zbl 1475.35279
Han, Daozhi; He, Xiaoming; Wang, Quan; Wu, Yanyun
2021
A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Zbl 1476.76050
Liu, Yingzhi; He, Yinnian; Li, Xuejian; He, Xiaoming
2021
An algorithm using the finite volume element method and its splitting extrapolation. Zbl 1218.65118
Cao, Yong; He, Xiaoming; Lü, Tao
2011
An Immersed-Finite-Element Particle-in-Cell simulation tool for plasma surface interaction. Zbl 1365.76112
Chu, Yuchuan; Han, Daoru; Cao, Yong; He, Xiaoming; Wang, Joseph
2017
Numerical simulation of pulse detonation engine phenomena. Zbl 1081.76574
He, X.; Karagozian, A. R.
2003
A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. Zbl 07263332
Cao, Huijun; Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao
2018
Feedback stabilization of a thermal fluid system with mixed boundary control. Zbl 1443.76128
Burns, John A.; He, Xiaoming; Hu, Weiwei
2016
A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system. Zbl 07464507
Yang, Xiaofeng; He, Xiaoming
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 1192.65163
Pan, Lu; He, Xiaoming; Lü, Tao
2010
Numerical solutions of a hypersingular integral equation with application to productivity formulae of horizontal wells producing at constant wellbore pressure. Zbl 1463.65422
Hu, Chaolang; Lu, Jing; He, Xiaoming
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 1264.76079
Hu, Chaolang; Lu, Jing; He, Xiaoming
2012
Observer-based feedback boundary stabilization of the Navier-Stokes equations. Zbl 1440.93086
He, Xiaoming; Hu, Weiwei; Zhang, Yangwen
2018
Euler-Maclaurin expansions and approximations of hypersingular integrals. Zbl 1337.65022
Hu, Chaolang; He, Xiaoming; Lü, Tao
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 07442805
Hou, Jiangyong; Hu, Dan; He, Xiaoming; Qiu, Changxin
2022
Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind. Zbl 1258.65109
Han, Huilei; He, Xiaoming; Liu, Yaping; Lü, Tao
2011
Uniform convergence of polynomials associated with varying Jacobi weights. Zbl 0749.41011
He, X.; Li, X.
1991
The role of Ekman pumping and the dominance of swirl in confined flows driven by Lorentz forces. Zbl 0947.76093
Davidson, P. A.; Kinnear, D.; Lingwood, R. J.; Short, D. J.; He, X.
1999
New solution to the pressure transient equation in a two-layer reservoir with crossflow. Zbl 1459.76149
Lu, Jing; Zhou, Botao; Rahman, Md. Motiur; He, Xiaoming
2019
A fully decoupled iterative method with three-dimensional anisotropic immersed finite elements for Kaufman-type discharge problems. Zbl 07337841
Lu, Chang; Wan, Jie; Cao, Yong; He, Xiaoming
2020
Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials. Zbl 1472.35169
Meng, Yuxi; Zhang, Xinrui; He, Xiaoming
2021
Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents. Zbl 1475.35017
He, Xiaoming
2021
A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition. Zbl 07458294
Yang, Zhipeng; Ming, Ju; Qiu, Changxin; Li, Maojun; He, Xiaoming
2022
A fully-discrete decoupled finite element method for the conserved Allen-Cahn type phase-field model of three-phase fluid flow system. Zbl 07464507
Yang, Xiaofeng; He, Xiaoming
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 07442805
Hou, Jiangyong; Hu, Dan; He, Xiaoming; Qiu, Changxin
2022
A multigrid multilevel Monte Carlo method for Stokes-Darcy model with random hydraulic conductivity and Beavers-Joseph condition. Zbl 07458294
Yang, Zhipeng; Ming, Ju; Qiu, Changxin; Li, Maojun; He, Xiaoming
2022
Decoupled, linear, and unconditionally energy stable fully discrete finite element numerical scheme for a two-phase ferrohydrodynamics model. Zbl 1469.65152
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng
2021
Existence and weak-strong uniqueness of solutions to the Cahn-Hilliard-Navier-Stokes-Darcy system in superposed free flow and porous media. Zbl 1475.35279
Han, Daozhi; He, Xiaoming; Wang, Quan; Wu, Yanyun
2021
A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. Zbl 1476.76050
Liu, Yingzhi; He, Yinnian; Li, Xuejian; He, Xiaoming
2021
Ground state solutions for a class of fractional Schrödinger-Poisson system with critical growth and vanishing potentials. Zbl 1472.35169
Meng, Yuxi; Zhang, Xinrui; He, Xiaoming
2021
Positive solutions for fractional Schrödinger-Poisson systems with doubly critical exponents. Zbl 1475.35017
He, Xiaoming
2021
A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. Zbl 1436.65135
Qiu, Changxin; He, Xiaoming; Li, Jian; Lin, Yanping
2020
Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations. Zbl 1447.65039
Zhang, Guo-Dong; He, Xiaoming; Yang, Xiaofeng
2020
Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. Zbl 1436.65125
Li, Rui; Gao, Yali; Chen, Jie; Zhang, Li; He, Xiaoming; Chen, Zhangxin
2020
A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system. Zbl 1459.76076
Abdullah Al Mahbub, Md.; He, Xiaoming; Nasu, Nasrin Jahan; Qiu, Changxin; Wang, Yifan; Zheng, Haibiao
2020
A generalized finite difference method for solving elliptic interface problems. Zbl 07318131
Xing, Yanan; Song, Lina; He, Xiaoming; Qiu, Changxin
2020
Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. Zbl 1460.76773
Bai, Feng; Han, Daozhi; He, Xiaoming; Yang, Xiaofeng
2020
A fully decoupled iterative method with three-dimensional anisotropic immersed finite elements for Kaufman-type discharge problems. Zbl 07337841
Lu, Chang; Wan, Jie; Cao, Yong; He, Xiaoming
2020
Convergence analysis of an unconditionally energy stable projection scheme for magneto-hydrodynamic equations. Zbl 1405.76026
Yang, Xiaofeng; Zhang, Guo-Dong; He, Xiaoming
2019
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows. Zbl 1441.76143
Yang, Jinjin; Mao, Shipeng; He, Xiaoming; Yang, Xiaofeng; He, Yinnian
2019
Numerical approximations for the hydrodynamics coupled binary surfactant phase field model: second-order, linear, unconditionally energy-stable schemes. Zbl 1450.65090
Xu, Chen; Chen, Chuanjun; Yang, Xiaofeng; He, Xiaoming
2019
A decoupled, linear and unconditionally energy stable scheme with finite element discretizations for magneto-hydrodynamic equations. Zbl 1432.76172
Zhang, Guo-Dong; He, XiaoMing; Yang, XiaoFeng
2019
Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model. Zbl 1433.65250
Lin, Fubiao; He, Xiaoming; Wen, Xiaoxia
2019
New solution to the pressure transient equation in a two-layer reservoir with crossflow. Zbl 1459.76149
Lu, Jing; Zhou, Botao; Rahman, Md. Motiur; He, Xiaoming
2019
Decoupled, linear, and energy stable finite element method for the Cahn-Hilliard-Navier-Stokes-Darcy phase field model. Zbl 1426.76261
Gao, Yali; He, Xiaoming; Mei, Liquan; Yang, Xiaofeng
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 1462.65117
Yang, Xiaofeng; Zhao, Jia; He, Xiaoming
2018
On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 1465.65094
Gunzburger, Max; He, Xiaoming; Li, Buyang
2018
A stabilized finite volume element method for a coupled Stokes-Darcy problem. Zbl 1404.65221
Li, Rui; Li, Jian; He, Xiaoming; Chen, Zhangxin
2018
Numerical approximations for a smectic-A liquid crystal flow model: first-order, linear, decoupled and energy stable schemes. Zbl 1408.65094
Huang, Qiumei; Yang, Xiaofeng; He, Xiaoming
2018
Modeling and an immersed finite element method for an interface wave equation. Zbl 1434.65172
Bai, Jinwei; Cao, Yong; He, Xiaoming; Liu, Hongyan; Yang, Xiaofeng
2018
A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. Zbl 07263332
Cao, Huijun; Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao
2018
Observer-based feedback boundary stabilization of the Navier-Stokes equations. Zbl 1440.93086
He, Xiaoming; Hu, Weiwei; Zhang, Yangwen
2018
An Immersed-Finite-Element Particle-in-Cell simulation tool for plasma surface interaction. Zbl 1365.76112
Chu, Yuchuan; Han, Daoru; Cao, Yong; He, Xiaoming; Wang, Joseph
2017
A dual-porosity-Stokes model and finite element method for coupling dual-porosity flow and free flow. Zbl 1457.65112
Hou, Jiangyong; Qiu, Meilan; He, Xiaoming; Guo, Chaohua; Wei, Mingzhen; Bai, Baojun
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 1349.76212
Han, Daoru; Wang, Pu; He, Xiaoming; Lin, Tao; Wang, Joseph
2016
Feedback stabilization of a thermal fluid system with mixed boundary control. Zbl 1443.76128
Burns, John A.; He, Xiaoming; Hu, Weiwei
2016
A domain decomposition method for the steady-state Navier-Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1325.76119
He, Xiaoming; Li, Jian; Lin, Yanping; Ming, Ju
2015
An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity. Zbl 1351.78045
Cao, Yong; Chu, Yuchuan; He, Xiaoming; Lin, Tao
2015
Mechanical quadrature methods and their extrapolations for solving the first kind boundary integral equations of Stokes equation. Zbl 1330.76090
Chen, Chong; He, Xiaoming; Huang, Jin
2015
Euler-Maclaurin expansions and approximations of hypersingular integrals. Zbl 1337.65022
Hu, Chaolang; He, Xiaoming; Lü, Tao
2015
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming
2014
A selective immersed discontinuous Galerkin method for elliptic interface problems. Zbl 1292.65126
He, Xiaoming; Lin, Tao; Lin, Yanping
2014
Immersed finite element method for interface problems with algebraic multigrid solver. Zbl 1388.65177
Feng, Wenqiang; He, Xiaoming; Lin, Yanping; Zhang, Xu
2014
Numerical solutions of a hypersingular integral equation with application to productivity formulae of horizontal wells producing at constant wellbore pressure. Zbl 1463.65422
Hu, Chaolang; Lu, Jing; He, Xiaoming
2014
Immersed finite element methods for parabolic equations with moving interface. Zbl 1266.65165
He, Xiaoming; Lin, Tao; Lin, Yanping; Zhang, Xu
2013
Decoupling the stationary Navier-Stokes-Darcy system with the Beavers-Joseph-Saffman interface condition. Zbl 1311.76131
Cao, Yong; Chu, Yuchuan; He, Xiaoming; Wei, Mingzhen
2013
Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition. Zbl 1302.76173
Feng, Wenqiang; He, Xiaoming; Wang, Zhu; Zhang, Xu
2012
The convergence of the bilinear and linear immersed finite element solutions to interface problems. Zbl 1241.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
2012
Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods. Zbl 1381.45005
Huang, Jin; Zeng, Guang; He, Xiaoming; Li, Zi-Cai
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 1264.76079
Hu, Chaolang; Lu, Jing; He, Xiaoming
2012
Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155
He, Xiaoming; Lin, Tao; Lin, Yanping
2011
Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming
2011
Asymptotic boundary conditions with immersed finite elements for interface magnetostatic/electrostatic field problems with open boundary. Zbl 1308.78006
Chu, Yuchuan; Cao, Yong; He, Xiaoming; Luo, Min
2011
An algorithm using the finite volume element method and its splitting extrapolation. Zbl 1218.65118
Cao, Yong; He, Xiaoming; Lü, Tao
2011
Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind. Zbl 1258.65109
Han, Huilei; He, Xiaoming; Liu, Yaping; Lü, Tao
2011
Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. Zbl 1205.35010
He, Xiaoming; Lin, Tao; Lin, Yanping
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 1192.65163
Pan, Lu; He, Xiaoming; Lü, Tao
2010
A bilinear immersed finite volume element method for the diffusion equation with discontinuous coefficient. Zbl 1364.65225
He, X.-M.; Lin, T.; Lin, Y.
2009
A finite element splitting extrapolation for second order hyperbolic equations. Zbl 1205.65269
He, Xiaoming; Lü, Tao
2009
A splitting extrapolation for solving nonlinear elliptic equations with $$d$$-quadratic finite elements. Zbl 1159.65091
Cao, Yong; He, Xiaoming; Lü, Tao
2009
Approximation capability of a bilinear immersed finite element space. Zbl 1154.65090
He, Xiaoming; Lin, Tao; Lin, Yanping
2008
Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and $$d$$-quadratic isoparametric finite elements. Zbl 1122.65084
He, Xiaoming; Lü, Tao
2007
Numerical simulation of pulse detonation engine phenomena. Zbl 1081.76574
He, X.; Karagozian, A. R.
2003
The role of Ekman pumping and the dominance of swirl in confined flows driven by Lorentz forces. Zbl 0947.76093
Davidson, P. A.; Kinnear, D.; Lingwood, R. J.; Short, D. J.; He, X.
1999
Vortex merging and spectral cascade in two-dimensional flows. Zbl 1027.76516
Nielsen, A. H.; He, X.; Rasmussen, J. Juul; Bohr, T.
1996
Uniform convergence of polynomials associated with varying Jacobi weights. Zbl 0749.41011
He, X.; Li, X.
1991
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### 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
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### 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
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### 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)