Hongxing Rui

Orcid: 0000-0003-2166-2321

According to our database1, Hongxing Rui authored at least 100 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A Divergence-Free Petrov-Galerkin Immersed Finite Element Method for Stokes Interface Problem.
J. Sci. Comput., July, 2024

Optimal Switching Time Control Constrained by Immiscible Two-Phase Porous Media Flow Based on the Discontinuous Galerkin Method.
J. Sci. Comput., June, 2024

A Quadratic Discontinuous Finite Volume Element Scheme for Stokes Problems.
J. Sci. Comput., May, 2024

A coupling of Galerkin and mixed finite element methods for the quasi-static thermo-poroelasticity with nonlinear convective transport.
J. Comput. Appl. Math., May, 2024

Reduced-order finite element approximation based on POD for the parabolic optimal control problem.
Numer. Algorithms, March, 2024

A high-order time discretizing block-centered finite difference method for compressible wormhole propagation.
Appl. Math. Lett., March, 2024

A discrete fracture-matrix approach based on Petrov-Galerkin immersed finite element for fractured porous media flow on nonconforming mesh.
J. Comput. Phys., February, 2024

Analysis of a $\varvec{P}_1\oplus \varvec{RT}_0$ finite element method for linear elasticity with Dirichlet and mixed boundary conditions.
Adv. Comput. Math., February, 2024

A pressure-robust mixed finite element method for the coupled Stokes-Darcy problem.
J. Comput. Appl. Math., January, 2024

A Petrov-Galerkin immersed finite element method for steady Navier-Stokes interface problem with non-homogeneous jump conditions.
J. Comput. Appl. Math., 2024

Pressure-robust finite element scheme for the time-dependent fully coupled Stokes-Darcy-transport problem.
J. Comput. Appl. Math., 2024

Analysis of a P<sub>1</sub>⊕RT<sub>0</sub> finite element method for linear elasticity with Dirichlet and mixed boundary conditions.
CoRR, 2024

A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation.
Comput. Math. Appl., 2024

2023
The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity.
Comput. Math. Appl., October, 2023

A Modified Convective Formulation in Navier-Stokes Simulations.
J. Sci. Comput., September, 2023

A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem.
Int. J. Comput. Math., August, 2023

A reduced-order immersed interface method based on POD basis for parabolic interface problem.
Appl. Math. Lett., July, 2023

A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction.
Comput. Math. Appl., June, 2023

A Robust Discrete Scheme based on Staggered Grids for Poroelastic-Elastic Coupled Problems.
J. Sci. Comput., April, 2023

Weak Galerkin coupled with conforming finite element method for hybrid-dimensional fracture model.
J. Comput. Appl. Math., 2023

On efficient linear and fully decoupled finite difference method for wormhole propagation with heat transmission process on staggered grids.
CoRR, 2023

2022
Superconvergence of MAC Scheme for a Coupled Free Flow-Porous Media System with Heat Transport on Non-uniform Grids.
J. Sci. Comput., 2022

Numerical simulation for 2D/3D time fractional Maxwell's system based on a fast second-order FDTD algorithm.
J. Comput. Appl. Math., 2022

The locking-free finite difference method based on staggered grids for the coupled Stokes-Biot problem.
Int. J. Comput. Math., 2022

A second-order space-time accurate scheme for Maxwell's equations in a Cole-Cole dispersive medium.
Eng. Comput., 2022

Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment.
CoRR, 2022

Galerkin method for the fully coupled quasi-static thermo-poroelastic problem.
Comput. Math. Appl., 2022

A combined stabilized mixed finite element and discontinuous Galerkin method for coupled Stokes and Darcy flows with transport.
Comput. Math. Appl., 2022

A reduced-order Weak Galerkin finite element algorithm based on POD technique for parabolic problem on polytopal mesh.
Appl. Math. Lett., 2022

An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids.
Appl. Math. Lett., 2022

2021
Longer time simulation of the unsteady Navier-Stokes equations based on a modified convective formulation.
CoRR, 2021

An EMA-balancing, pressure-robust and Re-semi-robust reconstruction method for unsteady incompressible Navier-Stokes equations.
CoRR, 2021

A reduced-order finite element method based on POD for the incompressible miscible displacement problem.
Comput. Math. Appl., 2021

Numerical analysis of Finite-Difference Time-Domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium.
Comput. Math. Appl., 2021

An efficient FDTD algorithm for 2D/3D time fractional Maxwell's system.
Appl. Math. Lett., 2021

2020
A Multipoint Flux Mixed Finite Element Method for Darcy-Forchheimer Incompressible Miscible Displacement Problem.
J. Sci. Comput., 2020

A MAC Scheme for Coupled Stokes-Darcy Equations on Non-uniform Grids.
J. Sci. Comput., 2020

A compact divergence-free H(div)-conforming finite element method for Stokes flows.
CoRR, 2020

2019
Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation.
Numer. Algorithms, 2019

A fully conservative block-centered finite difference method for simulating Darcy-Forchheimer compressible wormhole propagation.
Numer. Algorithms, 2019

Energy stability and convergence of SAV block-centered finite difference method for gradient flows.
Math. Comput., 2019

A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition.
Int. J. Comput. Math., 2019

A Stabilized Hybrid Mixed Finite Element Method for Poroelasticity.
CoRR, 2019

A coupling of hybrid mixed and continuous Galerkin finite element methods for poroelasticity.
Appl. Math. Comput., 2019

A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids.
Appl. Math. Comput., 2019

Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids.
Appl. Math. Comput., 2019

2018
Superconvergence of Characteristics Marker and Cell Scheme for the Navier-Stokes Equations on Nonuniform Grids.
SIAM J. Numer. Anal., 2018

Two temporal second-order H 1-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations.
Numer. Algorithms, 2018

Block-Centered Finite Difference Method for Simulating Compressible Wormhole Propagation.
J. Sci. Comput., 2018

Multigrid Methods for a Mixed Finite Element Method of the Darcy-Forchheimer Model.
J. Sci. Comput., 2018

MAC finite difference scheme for Stokes equations with damping on non-uniform grids.
Comput. Math. Appl., 2018

A locking-free finite difference method on staggered grids for linear elasticity problems.
Comput. Math. Appl., 2018

A two-grid decoupled algorithm for fracture models.
Comput. Math. Appl., 2018

A node-centered finite volume method for a fracture model on triangulations.
Appl. Math. Comput., 2018

2017
Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids.
SIAM J. Numer. Anal., 2017

A Block-Centered Finite Difference Method for Slightly Compressible Darcy-Forchheimer Flow in Porous Media.
J. Sci. Comput., 2017

A Two-Grid Block-Centered Finite Difference Method for the Nonlinear Time-Fractional Parabolic Equation.
J. Sci. Comput., 2017

Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation.
Int. J. Comput. Math., 2017

A coupling of weak Galerkin and mixed finite element methods for poroelasticity.
Comput. Math. Appl., 2017

Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals.
Comput. Math. Appl., 2017

Characteristic block-centered finite difference method for simulating incompressible wormhole propagation.
Comput. Math. Appl., 2017

A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models.
Appl. Math. Comput., 2017

Characteristic block-centered finite difference method for compressible miscible displacement in porous media.
Appl. Math. Comput., 2017

Block-centered finite difference methods for general Darcy-Forchheimer problems.
Appl. Math. Comput., 2017

2016
Trapezoidal Rule for Computing Supersingular Integral on a Circle.
J. Sci. Comput., 2016

Erratum to: A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems.
J. Sci. Comput., 2016

A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems.
J. Sci. Comput., 2016

A new MCC-MFE method for compressible miscible displacement in porous media.
J. Comput. Appl. Math., 2016

A two-grid block-centered finite difference method for nonlinear non-Fickian flow model.
Appl. Math. Comput., 2016

2015
A Two-Grid Block-Centered Finite Difference Method For Darcy-Forchheimer Flow in Porous Media.
SIAM J. Numer. Anal., 2015

Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method.
Math. Comput. Simul., 2015

A MCC finite element approximation of incompressible miscible displacement in porous media.
Comput. Math. Appl., 2015

One order numerical scheme for forward-backward stochastic differential equations.
Appl. Math. Comput., 2015

2014
Closed-form solutions to the nonhomogeneous Yakubovich-transpose matrix equation.
J. Comput. Appl. Math., 2014

A rectangular mixed element method with continuous flux approximation for coupling Stokes and Darcy flows.
Appl. Math. Comput., 2014

2013
Superconvergence of Hermite rule for hypersingular integrals on interval.
Int. J. Comput. Math., 2013

A two-grid algorithm for expanded mixed finite element approximations of semi-linear elliptic equations.
Comput. Math. Appl., 2013

2012
A Block-Centered Finite Difference Method for the Darcy-Forchheimer Model.
SIAM J. Numer. Anal., 2012

Mixed Element Method for Two-Dimensional Darcy-Forchheimer Model.
J. Sci. Comput., 2012

An optimal-order error estimate for the mass-conservative characteristic finite element scheme.
Appl. Math. Comput., 2012

2011
Least-squares Galerkin procedure for second-order hyperbolic equations.
J. Syst. Sci. Complex., 2011

<i>A priori</i> and <i>a posteriori</i> error estimates for the method of lumped masses for parabolic optimal control problems.
Int. J. Comput. Math., 2011

A characteristic-mixed finite element method for time-dependent convection-diffusion optimal control problem.
Appl. Math. Comput., 2011

2010
A Mass-Conservative Characteristic Finite Element Scheme for Convection-Diffusion Problems.
J. Sci. Comput., 2010

A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem.
J. Syst. Sci. Complex., 2010

A finite difference non-matching domain decomposition algorithm for the parabolic equation.
Int. J. Comput. Math., 2010

Web page publication time detection and its application for page rank.
Proceedings of the Proceeding of the 33rd International ACM SIGIR Conference on Research and Development in Information Retrieval, 2010

2009
A split least-squares characteristic mixed finite element method for Sobolev equations with convection term.
Math. Comput. Simul., 2009

A Priori Error Estimates for Optimal Control Problems Governed by Transient Advection-Diffusion Equations.
J. Sci. Comput., 2009

2008
A Finite Difference Domain Decomposition Algorithm with High Accuracy for the Parabolic Equations.
Proceedings of the 10th IEEE International Conference on High Performance Computing and Communications, 2008

2007
Convergence of an upwind control-volume mixed finite element method for convection-diffusion problems.
Computing, 2007

Least-squares Galerkin procedures for pseudohyperbolic equations.
Appl. Math. Comput., 2007

2006
Crank-Nicolson least-squares Galerkin procedures for parabolic integro-differential equations.
Appl. Math. Comput., 2006

On the accuracy of the mortar finite volume element method with Lagrange multipliers.
Appl. Math. Comput., 2006

2004
Least-squares Galerkin procedures for parabolic integro-differential equations.
Appl. Math. Comput., 2004

2003
An Alternative Direction Iterative Method with Second-Order Upwind Scheme for Convection-Diffusion Equations.
Int. J. Comput. Math., 2003

Superconvergence of a Mixed Covolume Method for Elliptic Problems.
Computing, 2003

Multiplicative Schwarz methods for parabolic problems.
Appl. Math. Comput., 2003

2002
A second order characteristic finite element scheme for convection-diffusion problems.
Numerische Mathematik, 2002

1999
A kind of characteristic-splitting method for convection-dominated parabolic equations.
Int. J. Comput. Math., 1999


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