Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements. - Xiaoming He 003; Tao Lü (Int. J. Comput. Math., 2007)

A splitting extrapolation for solving nonlinear elliptic equations with d-quadratic finite elements. - Yong Cao 002; Xiaoming He 003; Tao Lü (J. Comput. Phys., 2009)

A Finite Element Splitting Extrapolation for Second Order Hyperbolic Equations. - Xiaoming He 003; Tao Lü (SIAM J. Sci. Comput., 2009)

Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient. - Xiaoming He 003; Tao Lin 003; Yanping Lin (J. Syst. Sci. Complex., 2010)

Asymptotic boundary conditions with immersed finite elements for interface magnetostatic/electrostatic field problems with open boundary. - Yuchuan Chu; Yong Cao 002; Xiaoming He 003; Min Luo (Comput. Phys. Commun., 2011)

Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind. - Huilei Han; Xiaoming He 003; Yaping Liu; Tao Lü (Int. J. Comput. Math., 2011)

An algorithm using the finite volume element method and its splitting extrapolation. - Yong Cao 002; Xiaoming He 003; Tao Lü (J. Comput. Appl. Math., 2011)

Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. - Yanzhao Cao; Max D. Gunzburger; Xiaoming He 003; Xiaoming Wang 009 (Numerische Mathematik, 2011)

Control of the Boussinesq equations with implications for sensor location in energy efficient buildings. - John A. Burns; Xiaoming He 003; Weiwei Hu (ACC, 2012)

Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods. - Jin Huang 011; Guang Zeng; Xiaoming He 003; Zi-Cai Li (Adv. Comput. Math., 2012)

Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition. - Wenqiang Feng; Xiaoming He 003; Zhu Wang 003; Xu Zhang 003 (Appl. Math. Comput., 2012)

Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. - Yanzhao Cao; Max D. Gunzburger; Xiaoming He 003; Xiaoming Wang 009 (Math. Comput., 2014)

An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity. - Yong Cao 002; Yuchuan Chu; Xiaoming He 003; Tao Lin 003 (J. Comput. Phys., 2015)

A Domain Decomposition Method for the Steady-State Navier-Stokes-Darcy Model with Beavers-Joseph Interface Condition. - Xiaoming He 003; Jian Li 029; Yanping Lin; Ju Ming (SIAM J. Sci. Comput., 2015)

Feedback stabilization of a thermal fluid system with mixed boundary control. - John A. Burns; Xiaoming He 003; Weiwei Hu (Comput. Math. Appl., 2016)

Preface - SI: SIAM-2015. - Xiaoming He 003; Jiangguo Liu; Erik S. Van Vleck (J. Comput. Appl. Math., 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. - Daoru Han; Pu Wang; Xiaoming He 003; Tao Lin 003; Joseph Wang (J. Comput. Phys., 2016)

A Dual-Porosity-Stokes Model and Finite Element Method for Coupling Dual-Porosity Flow and Free Flow. - Jiangyong Hou; Meilan Qiu; Xiaoming He 003; Chaohua Guo; Mingzhen Wei; Baojun Bai (SIAM J. Sci. Comput., 2016)

Modeling and an immersed finite element method for an interface wave equation. - Jinwei Bai; Yong Cao 002; Xiaoming He 003; Hongyan Liu 001; Xiaofeng Yang 003 (Comput. Math. Appl., 2018)

Preface of 2nd Annual Meeting of SIAM Central States Section. - Xiaoming He 003; Stephen Pankavich; Erik S. Van Vleck; Zhu Wang 003; Xiu Ye (Comput. Math. Appl., 2018)

A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface. - Huijun Cao; Yong Cao 002; Yuchuan Chu; Xiaoming He 003; Tao Lin 003 (Commun. Nonlinear Sci. Numer. Simul., 2018)

Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method. - Xiaofeng Yang 003; Jia Zhao 004; Xiaoming He 003 (J. Comput. Appl. Math., 2018)

On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model. - Max D. Gunzburger; Xiaoming He 003; Buyang Li (SIAM J. Numer. Anal., 2018)

Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model. - Yali Gao; Xiaoming He 003; Liquan Mei; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2018)

Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model. - Fubiao Lin; Xiaoming He 003; Xiaoxia Wen (Appl. Math. Lett., 2019)

New solution to the pressure transient equation in a two-layer reservoir with crossflow. - Jing Lu; Botao Zhou; Md. Motiur Rahman; Xiaoming He 003 (J. Comput. Appl. Math., 2019)

A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations. - Guo-Dong Zhang; Xiaoming He 003; Xiaofeng Yang 003 (J. Sci. Comput., 2019)

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model. - Rui Li 008; Yali Gao; Jie Chen 029; Li Zhang; Xiaoming He 003; Zhangxin Chen (Adv. Comput. Math., 2020)

Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields. - Feng Bai; Daozhi Han; Xiaoming He 003; Xiaofeng Yang 003 (Commun. Nonlinear Sci. Numer. Simul., 2020)

Discrete unified gas kinetic scheme for a reformulated BGK-Vlasov-Poisson system in all electrostatic plasma regimes. - Hongtao Liu 004; Feng Shi; Jie Wan; Xiaoming He 003; Yong Cao 002 (Comput. Phys. Commun., 2020)

Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations. - Guo-Dong Zhang; Xiaoming He 003; Xiaofeng Yang 003 (J. Comput. Appl. Math., 2020)

A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition. - Changxin Qiu; Xiaoming He 003; Jian Li 029; Yanping Lin (J. Comput. Phys., 2020)

A generalized finite difference method for solving elliptic interface problems. - Yanan Xing; Lina Song; Xiaoming He 003; Changxin Qiu (Math. Comput. Simul., 2020)

A Coupled Multiphysics Model and a Decoupled Stabilized Finite Element Method for the Closed-Loop Geothermal System. - Md. Abdullah Al Mahbub; Xiaoming He 003; Nasrin Jahan Nasu; Changxin Qiu; Yifan Wang 030; Haibiao Zheng (SIAM J. Sci. Comput., 2020)

A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition. - Yingzhi Liu; Yinnian He; Xuejian Li; Xiaoming He 003 (Appl. Math. Lett., 2021)

A decoupled numerical method for two-phase flows of different densities and viscosities in superposed fluid and porous layers. - Yali Gao; Daozhi Han; Xiaoming He 003; Ulrich Rüde (CoRR, 2021)

An implicit particle-in-cell model based on anisotropic immersed-finite-element method. - Jinwei Bai; Yong Cao 002; Xiaoming He 003; E. Peng (Comput. Phys. Commun., 2021)

Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations. - Hongyan Liu 001; Jin Huang 011; Xiaoming He 003 (J. Comput. Appl. Math., 2021)

PIFE-PIC: Parallel Immersed Finite Element Particle-in-Cell for 3-D Kinetic Simulations of Plasma-Material Interactions. - Daoru Han; Xiaoming He 003; David Lund; Xu Zhang 003 (SIAM J. Sci. Comput., 2021)

Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model. - Guo-Dong Zhang; Xiaoming He 003; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2021)

A decoupled and iterative finite element method for generalized Boussinesq equations. - Yuanyuan Hou; Wenjing Yan; Maojun Li; Xiaoming He 003 (Comput. Math. Appl., 2022)

Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities. - Yali Gao; Daozhi Han; Xiaoming He 003; Ulrich Rüde (J. Comput. Phys., 2022)

Numerical approximations of flow coupled binary phase field crystal system: Fully discrete finite element scheme with second-order temporal accuracy and decoupling structure. - Xiaofeng Yang 003; Xiaoming He 003 (J. Comput. Phys., 2022)

A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations. - Guo-Dong Zhang; Xiaoming He 003; Xiaofeng Yang 003 (J. Comput. Phys., 2022)

A Multigrid Multilevel Monte Carlo Method for Stokes-Darcy Model with Random Hydraulic Conductivity and Beavers-Joseph Condition. - Zhipeng Yang; Ju Ming; Changxin Qiu; Maojun Li; Xiaoming He 003 (J. Sci. Comput., 2022)

New Optimized Robin-Robin Domain Decomposition Methods using Krylov Solvers for the Stokes-Darcy System. - Yingzhi Liu; Yassine Boubendir; Xiaoming He 003; Yinnian He (SIAM J. Sci. Comput., 2022)

Modeling and a Domain Decomposition Method with Finite Element Discretization for Coupled Dual-Porosity Flow and Navier-Stokes Flow. - Jiangyong Hou; Dan Hu; Xuejian Li; Xiaoming He 003 (J. Sci. Comput., 2023)

Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model. - Guo-Dong Zhang; Xiaoming He 003; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2023)

Optimal error estimates of a second-order fully decoupled finite element method for the nonstationary generalized Boussinesq model. - Qianqian Ding; Yuanyuan Hou; Xiaoming He 003 (J. Comput. Appl. Math., 2024)

Variational Data Assimilation and its Decoupled Iterative Numerical Algorithms for Stokes-Darcy Model. - Xuejian Li; Wei Gong 005; Xiaoming He 003; Tao Lin 003 (SIAM J. Sci. Comput., 2024)

A Unified Framework of the SAV-ZEC Method for a Mass-Conserved Allen-Cahn Type Two-Phase Ferrofluid Flow Model. - Guo-Dong Zhang; Xiaoming He 003; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2024)

A fully decoupled numerical method for Cahn-Hilliard-Navier-Stokes-Darcy equations based on auxiliary variable approaches. - Yali Gao; Rui Li 008; Xiaoming He 003; Yanping Lin (J. Comput. Appl. Math., 2024)

An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery. - Siyu Wu; Jinwei Bai; Xiaoming He 003; Ren Zhao; Yong Cao 002 (J. Comput. Phys., 2024)

A two-grid characteristic finite element method for incompressible flow. - Yu Jiang; Junchang Qin; Xiaoming He 003 (Appl. Math. Lett., 2025)

A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows. - Xiaorong Wang; Xuerui Mao; Shipeng Mao; Xiaoming He 003 (Comput. Math. Appl., 2025)

Stabilizer-free weak Galerkin method and its optimal L2 error estimates for the time-dependent Poisson - Nernst-Planck problem. - Wenjuan Li 005; Fuzheng Gao; Xiaoming He 003 (Commun. Nonlinear Sci. Numer. Simul., 2025)

Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems. - Guo-Dong Zhang; Xiaoming He 003; Xiaofeng Yang 003 (SIAM J. Sci. Comput., 2025)

Unconditionally Optimal Convergent Zero-Energy-Contribution Scheme for Two Phase MHD Model. - Jinjin Yang; Shipeng Mao; Xiaoming He 003 (J. Sci. Comput., 2025)

Energy-stable and efficient finite element schemes for the Shliomis model of ferrofluid flows. - Guo-Dong Zhang; Kejia Pan; Xiaoming He 003; Xiaofeng Yang 003 (Adv. Comput. Math., 2025)

Optimal L2 error estimates for a fully discrete method of the Cahn-Hilliard-MHD model. - Dongmei Duan; Fuzheng Gao; Xiaoming He 003; Yanping Lin (Comput. Math. Appl., 2026)

A fully discrete semi-implicit numerical scheme and its optimal error estimates for Cahn-Hilliard-MHD model with variable density. - Dongmei Duan; Fuzheng Gao; Xiaoming He 003; Yanping Lin (Commun. Nonlinear Sci. Numer. Simul., 2026)

Optimal error estimates for a semi-discrete finite element scheme of Cahn-Hilliard-Navier-Stokes-Darcy model. - Yanyun Wu; Yali Gao; Xiaoming He 003; Yanping Lin (Commun. Nonlinear Sci. Numer. Simul., 2026)

A diffuse interface model and fully decoupled, energy-stable scheme for the two-phase ferrofluid flows in porous media. - Guo-Dong Zhang; Shuai Zhou; Yunqing Huang; Xiaoming He 003; Xiaofeng Yang 003 (J. Comput. Phys., 2026)

A stabilized weighted interior penalty method for thermal convection model in heterogeneous porous media. - Yuanyuan Hou; Qianqian Ding; Xiaoming He 003; Yanping Lin (Math. Comput. Simul., 2026)