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

A second order characteristic finite element scheme for convection-diffusion problems. - Hongxing Rui; Masahisa Tabata (Numerische Mathematik, 2002)

Multiplicative Schwarz methods for parabolic problems. - Hongxing Rui (Appl. Math. Comput., 2003)

Superconvergence of a Mixed Covolume Method for Elliptic Problems. - Hongxing Rui (Computing, 2003)

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

Least-squares Galerkin procedures for parabolic integro-differential equations. - Hui Guo; Hongxing Rui (Appl. Math. Comput., 2004)

On the accuracy of the mortar finite volume element method with Lagrange multipliers. - Yufei Cao; Hongxing Rui (Appl. Math. Comput., 2006)

Crank-Nicolson least-squares Galerkin procedures for parabolic integro-differential equations. - Hui Guo; Hongxing Rui (Appl. Math. Comput., 2006)

Least-squares Galerkin procedures for pseudohyperbolic equations. - Hui Guo; Hongxing Rui (Appl. Math. Comput., 2007)

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

A Finite Difference Domain Decomposition Algorithm with High Accuracy for the Parabolic Equations. - Ting Wang; Hongxing Rui (HPCC, 2008)

A Priori Error Estimates for Optimal Control Problems Governed by Transient Advection-Diffusion Equations. - Hongfei Fu 002; Hongxing Rui (J. Sci. Comput., 2009)

A split least-squares characteristic mixed finite element method for Sobolev equations with convection term. - Fuzheng Gao; Hongxing Rui (Math. Comput. Simul., 2009)

Web page publication time detection and its application for page rank. - Zhumin Chen; Jun Ma 001; Chaoran Cui; Hongxing Rui; Shaomang Huang (SIGIR, 2010)

A finite difference non-matching domain decomposition algorithm for the parabolic equation. - Ting Wang; Hongxing Rui (Int. J. Comput. Math., 2010)

A discontinuous Galerkin method combined with mixed finite element for seawater intrusion problem. - Ximeng Lian; Hongxing Rui (J. Syst. Sci. Complex., 2010)

A Mass-Conservative Characteristic Finite Element Scheme for Convection-Diffusion Problems. - Hongxing Rui; Masahisa Tabata (J. Sci. Comput., 2010)

A characteristic-mixed finite element method for time-dependent convection-diffusion optimal control problem. - Hongfei Fu 002; Hongxing Rui (Appl. Math. Comput., 2011)

A priori and a posteriori error estimates for the method of lumped masses for parabolic optimal control problems. - Hongfei Fu 002; Hongxing Rui (Int. J. Comput. Math., 2011)

Least-squares Galerkin procedure for second-order hyperbolic equations. - Hui Guo; Hongxing Rui; Chao Lin (J. Syst. Sci. Complex., 2011)

An optimal-order error estimate for the mass-conservative characteristic finite element scheme. - Hongmei Wang; Hongxing Rui; Shuai Zhang 009 (Appl. Math. Comput., 2012)

Mixed Element Method for Two-Dimensional Darcy-Forchheimer Model. - Hao Pan; Hongxing Rui (J. Sci. Comput., 2012)

A Block-Centered Finite Difference Method for the Darcy-Forchheimer Model. - Hongxing Rui; Hao Pan (SIAM J. Numer. Anal., 2012)

A two-grid algorithm for expanded mixed finite element approximations of semi-linear elliptic equations. - Wei Liu 083; Hongxing Rui; Fengzhu Hu (Comput. Math. Appl., 2013)

Superconvergence of Hermite rule for hypersingular integrals on interval. - Qingli Zhao; Hongxing Rui; Jin Li 010 (Int. J. Comput. Math., 2013)

A rectangular mixed element method with continuous flux approximation for coupling Stokes and Darcy flows. - Xindong Li; Hongxing Rui (Appl. Math. Comput., 2014)

Closed-form solutions to the nonhomogeneous Yakubovich-transpose matrix equation. - Caiqin Song; Hongxing Rui; Xiaodong Wang 014; Jianli Zhao (J. Comput. Appl. Math., 2014)

One order numerical scheme for forward-backward stochastic differential equations. - Benxue Gong; Hongxing Rui (Appl. Math. Comput., 2015)

A MCC finite element approximation of incompressible miscible displacement in porous media. - Xindong Li; Hongxing Rui (Comput. Math. Appl., 2015)

Numerical simulation of the modified regularized long wave equation by split least-squares mixed finite element method. - Fuzheng Gao; Feng Qiao; Hongxing Rui (Math. Comput. Simul., 2015)

A Two-Grid Block-Centered Finite Difference Method For Darcy-Forchheimer Flow in Porous Media. - Hongxing Rui; Wei Liu 083 (SIAM J. Numer. Anal., 2015)

A two-grid block-centered finite difference method for nonlinear non-Fickian flow model. - Xiaoli Li 008; Hongxing Rui (Appl. Math. Comput., 2016)

A new MCC-MFE method for compressible miscible displacement in porous media. - Xindong Li; Hongxing Rui; Wenwen Xu (J. Comput. Appl. Math., 2016)

A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems. - Hongfei Fu 002; Hongxing Rui; Jian Hou 003; Haihong Li (J. Sci. Comput., 2016)

Erratum to: A Stabilized Mixed Finite Element Method for Elliptic Optimal Control Problems. - Hongfei Fu 002; Hongxing Rui; Jian Hou 003; Haihong Li (J. Sci. Comput., 2016)

Trapezoidal Rule for Computing Supersingular Integral on a Circle. - Jin Li 010; Hongxing Rui; Dehao Yu (J. Sci. Comput., 2016)

Block-centered finite difference methods for general Darcy-Forchheimer problems. - Zhijiang Kang; Danhui Zhao; Hongxing Rui (Appl. Math. Comput., 2017)

Characteristic block-centered finite difference method for compressible miscible displacement in porous media. - Xiaoli Li 008; Hongxing Rui (Appl. Math. Comput., 2017)

A multipoint flux mixed finite element method for the compressible Darcy-Forchheimer models. - Wenwen Xu; Dong Liang 004; Hongxing Rui (Appl. Math. Comput., 2017)

Characteristic block-centered finite difference method for simulating incompressible wormhole propagation. - Xiaoli Li 008; Hongxing Rui (Comput. Math. Appl., 2017)

Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals. - Jin Li 010; Hongxing Rui (Comput. Math. Appl., 2017)

A coupling of weak Galerkin and mixed finite element methods for poroelasticity. - Ming Sun; Hongxing Rui (Comput. Math. Appl., 2017)

Characteristic block-centred finite difference methods for nonlinear convection-dominated diffusion equation. - Xiaoli Li 008; Hongxing Rui (Int. J. Comput. Math., 2017)

A Two-Grid Block-Centered Finite Difference Method for the Nonlinear Time-Fractional Parabolic Equation. - Xiaoli Li 008; Hongxing Rui (J. Sci. Comput., 2017)

A Block-Centered Finite Difference Method for Slightly Compressible Darcy-Forchheimer Flow in Porous Media. - Hongxing Rui; Hao Pan (J. Sci. Comput., 2017)

Stability and Superconvergence of MAC Scheme for Stokes Equations on Nonuniform Grids. - Hongxing Rui; Xiaoli Li 008 (SIAM J. Numer. Anal., 2017)

A node-centered finite volume method for a fracture model on triangulations. - Shuangshuang Chen; Hongxing Rui (Appl. Math. Comput., 2018)

A two-grid decoupled algorithm for fracture models. - Shuangshuang Chen; Hongxing Rui (Comput. Math. Appl., 2018)

A locking-free finite difference method on staggered grids for linear elasticity problems. - Hongxing Rui; Ming Sun (Comput. Math. Appl., 2018)

MAC finite difference scheme for Stokes equations with damping on non-uniform grids. - Yue Sun; Hongxing Rui (Comput. Math. Appl., 2018)

Multigrid Methods for a Mixed Finite Element Method of the Darcy-Forchheimer Model. - Jian Huang; Long Chen 002; Hongxing Rui (J. Sci. Comput., 2018)

Block-Centered Finite Difference Method for Simulating Compressible Wormhole Propagation. - Xiaoli Li 008; Hongxing Rui (J. Sci. Comput., 2018)

Two temporal second-order H 1-Galerkin mixed finite element schemes for distributed-order fractional sub-diffusion equations. - Xiaoli Li 008; Hongxing Rui (Numer. Algorithms, 2018)

Superconvergence of Characteristics Marker and Cell Scheme for the Navier-Stokes Equations on Nonuniform Grids. - Xiaoli Li 008; Hongxing Rui (SIAM J. Numer. Anal., 2018)

Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids. - Xiaoli Li 008; Hongxing Rui (Appl. Math. Comput., 2019)

A block-centered finite difference method for the nonlinear Sobolev equation on nonuniform rectangular grids. - Xiaoli Li 008; Hongxing Rui (Appl. Math. Comput., 2019)

A coupling of hybrid mixed and continuous Galerkin finite element methods for poroelasticity. - Chunyan Niu; Hongxing Rui; Ming Sun (Appl. Math. Comput., 2019)

A Stabilized Hybrid Mixed Finite Element Method for Poroelasticity. - Chunyan Niu; Hongxing Rui; Xiaozhe Hu (CoRR, 2019)

A block-centred finite difference method for the distributed-order differential equation with Neumann boundary condition. - Xiaoli Li 008; Hongxing Rui (Int. J. Comput. Math., 2019)

Energy stability and convergence of SAV block-centered finite difference method for gradient flows. - Xiaoli Li 008; Jie Shen 001; Hongxing Rui (Math. Comput., 2019)

A fully conservative block-centered finite difference method for simulating Darcy-Forchheimer compressible wormhole propagation. - Xiaoli Li 008; Hongxing Rui; Shuangshuang Chen (Numer. Algorithms, 2019)

Two alternating direction implicit spectral methods for two-dimensional distributed-order differential equation. - Xiaoli Li 008; Hongxing Rui; Zhengguang Liu (Numer. Algorithms, 2019)

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

A MAC Scheme for Coupled Stokes-Darcy Equations on Non-uniform Grids. - Hongxing Rui; Yue Sun (J. Sci. Comput., 2020)

A Multipoint Flux Mixed Finite Element Method for Darcy-Forchheimer Incompressible Miscible Displacement Problem. - Wenwen Xu; Dong Liang 004; Hongxing Rui; Xindong Li (J. Sci. Comput., 2020)

An efficient FDTD algorithm for 2D/3D time fractional Maxwell's system. - Xixian Bai; Hongxing Rui (Appl. Math. Lett., 2021)

Numerical analysis of Finite-Difference Time-Domain method for 2D/3D Maxwell's equations in a Cole-Cole dispersive medium. - Xixian Bai; Shuang Wang; Hongxing Rui (Comput. Math. Appl., 2021)

A reduced-order finite element method based on POD for the incompressible miscible displacement problem. - Junpeng Song; Hongxing Rui (Comput. Math. Appl., 2021)

An EMA-balancing, pressure-robust and Re-semi-robust reconstruction method for unsteady incompressible Navier-Stokes equations. - Xu Li; Hongxing Rui (CoRR, 2021)

Longer time simulation of the unsteady Navier-Stokes equations based on a modified convective formulation. - Xu Li; Hongxing Rui (CoRR, 2021)

An efficient augmented approach algorithm for incompressible Stokes problems on staggered Cartesian grids. - Xue Wang; Hongxing Rui (Appl. Math. Lett., 2022)

A reduced-order Weak Galerkin finite element algorithm based on POD technique for parabolic problem on polytopal mesh. - Jijing Zhao; Hongxing Rui; Junpeng Song (Appl. Math. Lett., 2022)

A combined stabilized mixed finite element and discontinuous Galerkin method for coupled Stokes and Darcy flows with transport. - Junpeng Song; Hongxing Rui (Comput. Math. Appl., 2022)

Galerkin method for the fully coupled quasi-static thermo-poroelastic problem. - Jing Zhang; Hongxing Rui (Comput. Math. Appl., 2022)

Inf-sup stabilized Scott-Vogelius pairs on general simplicial grids by Raviart-Thomas enrichment. - Volker John; Xu Li; Christian Merdon; Hongxing Rui (CoRR, 2022)

A second-order space-time accurate scheme for Maxwell's equations in a Cole-Cole dispersive medium. - Xixian Bai; Hongxing Rui (Eng. Comput., 2022)

The locking-free finite difference method based on staggered grids for the coupled Stokes-Biot problem. - Xue Wang; Hongxing Rui (Int. J. Comput. Math., 2022)

Numerical simulation for 2D/3D time fractional Maxwell's system based on a fast second-order FDTD algorithm. - Xixian Bai; Jian Huang; Hongxing Rui; Shuang Wang (J. Comput. Appl. Math., 2022)

Superconvergence of MAC Scheme for a Coupled Free Flow-Porous Media System with Heat Transport on Non-uniform Grids. - Xiaoli Li 008; Hongxing Rui (J. Sci. Comput., 2022)

On efficient linear and fully decoupled finite difference method for wormhole propagation with heat transmission process on staggered grids. - Xiaoli Li 008; Ziyan Li; Hongxing Rui (CoRR, 2023)

Weak Galerkin coupled with conforming finite element method for hybrid-dimensional fracture model. - Jijing Zhao; Hongxing Rui (J. Comput. Appl. Math., 2023)

A Robust Discrete Scheme based on Staggered Grids for Poroelastic-Elastic Coupled Problems. - Bohan Yang 007; Hongxing Rui (J. Sci. Comput., 2023)

A semi-decoupled MAC scheme for the coupled fluid-poroelastic material interaction. - Xue Wang; Hongxing Rui (Comput. Math. Appl., 2023)

A reduced-order immersed interface method based on POD basis for parabolic interface problem. - Na Zhu; Hongxing Rui (Appl. Math. Lett., 2023)

A stable pressure-correction MAC scheme for the fluid-Poroelastic material interaction problem. - Xue Wang; Yimeng Zhang; Hongxing Rui (Int. J. Comput. Math., 2023)

A Modified Convective Formulation in Navier-Stokes Simulations. - Xu Li; Hongxing Rui (J. Sci. Comput., 2023)

The nonconforming locking-free virtual element method for the Biot's consolidation model in poroelasticity. - Hao Liang; Hongxing Rui (Comput. Math. Appl., 2023)

A reduced-order Schwarz domain decomposition method based on POD for the convection-diffusion equation. - Junpeng Song; Hongxing Rui (Comput. Math. Appl., 2024)

Analysis of a P1⊕RT0 finite element method for linear elasticity with Dirichlet and mixed boundary conditions. - Hongpeng Li; Xu Li; Hongxing Rui (CoRR, 2024)

Pressure-robust finite element scheme for the time-dependent fully coupled Stokes-Darcy-transport problem. - Deyong Lv; Hongxing Rui (J. Comput. Appl. Math., 2024)

A Petrov-Galerkin immersed finite element method for steady Navier-Stokes interface problem with non-homogeneous jump conditions. - Na Zhu; Hongxing Rui (J. Comput. Appl. Math., 2024)

A pressure-robust mixed finite element method for the coupled Stokes-Darcy problem. - Deyong Lv; Hongxing Rui (J. Comput. Appl. Math., 2024)

Analysis of a $ varvec{P}_1 oplus varvec{RT}_0$ finite element method for linear elasticity with Dirichlet and mixed boundary conditions. - Hongpeng Li; Xu Li; Hongxing Rui (Adv. Comput. Math., 2024)

A discrete fracture-matrix approach based on Petrov-Galerkin immersed finite element for fractured porous media flow on nonconforming mesh. - Jijing Zhao; Hongxing Rui (J. Comput. Phys., 2024)

A high-order time discretizing block-centered finite difference method for compressible wormhole propagation. - Fei Sun; Xiaoli Li; Hongxing Rui (Appl. Math. Lett., 2024)

Reduced-order finite element approximation based on POD for the parabolic optimal control problem. - Junpeng Song; Hongxing Rui (Numer. Algorithms, 2024)

A coupling of Galerkin and mixed finite element methods for the quasi-static thermo-poroelasticity with nonlinear convective transport. - Jing Zhang; Hongxing Rui (J. Comput. Appl. Math., 2024)

A Quadratic Discontinuous Finite Volume Element Scheme for Stokes Problems. - Yuzhi Lou; Hongxing Rui (J. Sci. Comput., 2024)

Optimal Switching Time Control Constrained by Immiscible Two-Phase Porous Media Flow Based on the Discontinuous Galerkin Method. - Decheng Kong; Hongxing Rui; Wenju Zhao (J. Sci. Comput., 2024)

A Divergence-Free Petrov-Galerkin Immersed Finite Element Method for Stokes Interface Problem. - Na Zhu; Hongxing Rui (J. Sci. Comput., 2024)

Two-grid reduced-order method based on POD for a nonlinear poroelasticity model. - Hongpeng Li; Hongxing Rui; Mengqi Gao (J. Comput. Appl. Math., 2025)

Quadratic discontinuous finite volume element schemes for Stokes-Darcy problems. - Yuzhi Lou; Xu Guo; Hongxing Rui; Xiufang Feng (J. Comput. Phys., 2025)

Robust superconvergence analysis of physics-preserving RMAC scheme for the Stokes and Navier-Stokes equations on non-uniform grids at high Reynolds numbers. - Binghong Li; Xiaoli Li; Xu Li; Hongxing Rui (CoRR, 2025)

A linear, mass-conserving, multi-time-step compact block-centered finite difference method for incompressible miscible displacement problem in porous media. - Xiaoying Wang; Hongxing Rui; Hongfei Fu 002 (CoRR, 2025)