Xiaoming He

Orcid: 0000-0003-1270-4972

Affiliations:
  • Missouri University of Science and Technology, Rolla, Missouri, USA


According to our database1, Xiaoming He authored at least 64 papers between 2007 and 2026.

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Bibliography

2026
A stabilized weighted interior penalty method for thermal convection model in heterogeneous porous media.
Math. Comput. Simul., 2026

A diffuse interface model and fully decoupled, energy-stable scheme for the two-phase ferrofluid flows in porous media.
J. Comput. Phys., 2026

Optimal error estimates for a semi-discrete finite element scheme of Cahn-Hilliard-Navier-Stokes-Darcy model.
Commun. Nonlinear Sci. Numer. Simul., 2026

A fully discrete semi-implicit numerical scheme and its optimal error estimates for Cahn-Hilliard-MHD model with variable density.
Commun. Nonlinear Sci. Numer. Simul., 2026

Optimal L2 error estimates for a fully discrete method of the Cahn-Hilliard-MHD model.
Comput. Math. Appl., 2026

2025
Energy-stable and efficient finite element schemes for the Shliomis model of ferrofluid flows.
Adv. Comput. Math., August, 2025

Unconditionally Optimal Convergent Zero-Energy-Contribution Scheme for Two Phase MHD Model.
J. Sci. Comput., February, 2025

Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems.
SIAM J. Sci. Comput., 2025

Stabilizer-free weak Galerkin method and its optimal L2 error estimates for the time-dependent Poisson - Nernst-Planck problem.
Commun. Nonlinear Sci. Numer. Simul., 2025

A mass and charge conservative fully discrete scheme for a 3D diffuse interface model of the two-phase inductionless MHD flows.
Comput. Math. Appl., 2025

A two-grid characteristic finite element method for incompressible flow.
Appl. Math. Lett., 2025

2024
An immersed selective discontinuous Galerkin method in particle-in-cell simulation with adaptive Cartesian mesh and polynomial preserving recovery.
J. Comput. Phys., February, 2024

A fully decoupled numerical method for Cahn-Hilliard-Navier-Stokes-Darcy equations based on auxiliary variable approaches.
J. Comput. Appl. Math., January, 2024

A Unified Framework of the SAV-ZEC Method for a Mass-Conserved Allen-Cahn Type Two-Phase Ferrofluid Flow Model.
SIAM J. Sci. Comput., 2024

Variational Data Assimilation and its Decoupled Iterative Numerical Algorithms for Stokes-Darcy Model.
SIAM J. Sci. Comput., 2024

Optimal error estimates of a second-order fully decoupled finite element method for the nonstationary generalized Boussinesq model.
J. Comput. Appl. Math., 2024

2023
Reformulated Weak Formulation and Efficient Fully Discrete Finite Element Method for a Two-Phase Ferrohydrodynamics Shliomis Model.
SIAM J. Sci. Comput., June, 2023

Modeling and a Domain Decomposition Method with Finite Element Discretization for Coupled Dual-Porosity Flow and Navier-Stokes Flow.
J. Sci. Comput., May, 2023

2022
New Optimized Robin-Robin Domain Decomposition Methods using Krylov Solvers for the Stokes-Darcy System.
SIAM J. Sci. Comput., August, 2022

A Multigrid Multilevel Monte Carlo Method for Stokes-Darcy Model with Random Hydraulic Conductivity and Beavers-Joseph Condition.
J. Sci. Comput., 2022

A fully decoupled linearized finite element method with second-order temporal accuracy and unconditional energy stability for incompressible MHD equations.
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.
J. Comput. Phys., 2022

Unconditionally stable numerical methods for Cahn-Hilliard-Navier-Stokes-Darcy system with different densities and viscosities.
J. Comput. Phys., 2022

A decoupled and iterative finite element method for generalized Boussinesq equations.
Comput. Math. Appl., 2022

2021
Decoupled, Linear, and Unconditionally Energy Stable Fully Discrete Finite Element Numerical Scheme for a Two-Phase Ferrohydrodynamics Model.
SIAM J. Sci. Comput., 2021

PIFE-PIC: Parallel Immersed Finite Element Particle-in-Cell for 3-D Kinetic Simulations of Plasma-Material Interactions.
SIAM J. Sci. Comput., 2021

Bivariate barycentric rational interpolation method for two dimensional fractional Volterra integral equations.
J. Comput. Appl. Math., 2021

An implicit particle-in-cell model based on anisotropic immersed-finite-element method.
Comput. Phys. Commun., 2021

A decoupled numerical method for two-phase flows of different densities and viscosities in superposed fluid and porous layers.
CoRR, 2021

A novel convergence analysis of Robin-Robin domain decomposition method for Stokes-Darcy system with Beavers-Joseph interface condition.
Appl. Math. Lett., 2021

2020
A Coupled Multiphysics Model and a Decoupled Stabilized Finite Element Method for the Closed-Loop Geothermal System.
SIAM J. Sci. Comput., 2020

A generalized finite difference method for solving elliptic interface problems.
Math. Comput. Simul., 2020

A domain decomposition method for the time-dependent Navier-Stokes-Darcy model with Beavers-Joseph interface condition and defective boundary condition.
J. Comput. Phys., 2020

Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations.
J. Comput. Appl. Math., 2020

Discrete unified gas kinetic scheme for a reformulated BGK-Vlasov-Poisson system in all electrostatic plasma regimes.
Comput. Phys. Commun., 2020

Deformation and coalescence of ferrodroplets in Rosensweig model using the phase field and modified level set approaches under uniform magnetic fields.
Commun. Nonlinear Sci. Numer. Simul., 2020

Discontinuous finite volume element method for a coupled Navier-Stokes-Cahn-Hilliard phase field model.
Adv. Comput. Math., 2020

2019
A Decoupled, Linear and Unconditionally Energy Stable Scheme with Finite Element Discretizations for Magneto-Hydrodynamic Equations.
J. Sci. Comput., 2019

New solution to the pressure transient equation in a two-layer reservoir with crossflow.
J. Comput. Appl. Math., 2019

Fast, unconditionally energy stable large time stepping method for a new Allen-Cahn type square phase-field crystal model.
Appl. Math. Lett., 2019

2018
Decoupled, Linear, and Energy Stable Finite Element Method for the Cahn-Hilliard-Navier-Stokes-Darcy Phase Field Model.
SIAM J. Sci. Comput., 2018

On Stokes-Ritz Projection and Multistep Backward Differentiation Schemes in Decoupling the Stokes-Darcy Model.
SIAM J. Numer. Anal., 2018

Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method.
J. Comput. Appl. Math., 2018

A Huygens immersed-finite-element particle-in-cell method for modeling plasma-surface interactions with moving interface.
Commun. Nonlinear Sci. Numer. Simul., 2018

Preface of 2nd Annual Meeting of SIAM Central States Section.
Comput. Math. Appl., 2018

Modeling and an immersed finite element method for an interface wave equation.
Comput. Math. Appl., 2018

2016
A Dual-Porosity-Stokes Model and Finite Element Method for Coupling Dual-Porosity Flow and Free Flow.
SIAM J. Sci. Comput., 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.
J. Comput. Phys., 2016

Preface - SI: SIAM-2015.
J. Comput. Appl. Math., 2016

Feedback stabilization of a thermal fluid system with mixed boundary control.
Comput. Math. Appl., 2016

2015
A Domain Decomposition Method for the Steady-State Navier-Stokes-Darcy Model with Beavers-Joseph Interface Condition.
SIAM J. Sci. Comput., 2015

An iterative immersed finite element method for an electric potential interface problem based on given surface electric quantity.
J. Comput. Phys., 2015

2014
Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems.
Math. Comput., 2014

2012
Non-iterative domain decomposition methods for a non-stationary Stokes-Darcy model with Beavers-Joseph interface condition.
Appl. Math. Comput., 2012

Splitting extrapolation algorithm for first kind boundary integral equations with singularities by mechanical quadrature methods.
Adv. Comput. Math., 2012

Control of the Boussinesq equations with implications for sensor location in energy efficient buildings.
Proceedings of the American Control Conference, 2012

2011
Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition.
Numerische Mathematik, 2011

An algorithm using the finite volume element method and its splitting extrapolation.
J. Comput. Appl. Math., 2011

Extrapolation for solving a system of weakly singular nonlinear Volterra integral equations of the second kind.
Int. J. Comput. Math., 2011

Asymptotic boundary conditions with immersed finite elements for interface magnetostatic/electrostatic field problems with open boundary.
Comput. Phys. Commun., 2011

2010
Interior penalty bilinear IFE discontinuous Galerkin methods for elliptic equations with discontinuous coefficient.
J. Syst. Sci. Complex., 2010

2009
A Finite Element Splitting Extrapolation for Second Order Hyperbolic Equations.
SIAM J. Sci. Comput., 2009

A splitting extrapolation for solving nonlinear elliptic equations with d-quadratic finite elements.
J. Comput. Phys., 2009

2007
Splitting extrapolation method for solving second-order parabolic equations with curved boundaries by using domain decomposition and d-quadratic isoparametric finite elements.
Int. J. Comput. Math., 2007


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