A finite element variational multiscale method for incompressible flows based on two local gauss integrations. - Haibiao Zheng; Yanren Hou; Feng Shi; Lina Song (J. Comput. Phys., 2009)

A variational multiscale method based on bubble functions for convection-dominated convection-diffusion equation. - Lina Song; Yanren Hou; Haibiao Zheng (Appl. Math. Comput., 2010)

Adaptive variational multiscale methods for incompressible flow based on two local Gauss integrations. - Haibiao Zheng; Yanren Hou; Feng Shi (J. Comput. Phys., 2010)

A Posteriori Error Estimates of Stabilization of Low-Order Mixed Finite Elements for Incompressible Flow. - Haibiao Zheng; Yanren Hou; Feng Shi (SIAM J. Sci. Comput., 2010)

A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations. - Haibiao Zheng; Jiaping Yu; Kaitai Li; Feng Shi (Appl. Math. Comput., 2012)

Variational multiscale method based on the Crank-Nicolson extrapolation scheme for the non-stationary Navier-Stokes equations. - Li Shan; Yanren Hou; Haibiao Zheng (Int. J. Comput. Math., 2012)

Adaptive Local Postprocessing Finite Element Method for the Navier-Stokes Equations. - Lina Song; Yanren Hou; Haibiao Zheng (J. Sci. Comput., 2013)

Partitioned Time Stepping Method for Fully Evolutionary Stokes-Darcy Flow with Beavers-Joseph Interface Conditions. - Li Shan; Haibiao Zheng (SIAM J. Numer. Anal., 2013)

Local and Parallel Finite Element Algorithms Based on the Partition of Unity for the Stokes Problem. - Jiaping Yu; Feng Shi; Haibiao Zheng (SIAM J. Sci. Comput., 2014)

The partition of unity parallel finite element algorithm. - Haibiao Zheng; Lina Song; Yanren Hou; Yuhong Zhang (Adv. Comput. Math., 2015)

Local and Parallel Finite Element Algorithm Based on the Partition of Unity for Incompressible Flows. - Haibiao Zheng; Jiaping Yu; Feng Shi (J. Sci. Comput., 2015)

Nitsche's type stabilized finite element method for the fully mixed Stokes-Darcy problem with Beavers-Joseph conditions. - Jiaping Yu; Yizhong Sun; Feng Shi; Haibiao Zheng (Appl. Math. Lett., 2020)

The efficient rotational pressure-correction schemes for the coupling Stokes/Darcy problem. - Jian Li 029; Min Yao; Md. Abdullah Al Mahbub; Haibiao Zheng (Comput. Math. Appl., 2020)

Expandable Local and Parallel Two-Grid Finite Element Scheme for the Stokes Equations. - Yanren Hou; Feng Shi; Haibiao Zheng (CoRR, 2020)

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

A partitioned scheme with multiple-time-step technique for the nonstationary dual-porosity-Stokes problem. - Yongshuai Wang; Haibiao Zheng (Comput. Math. Appl., 2021)

Two-Grid Domain Decomposition Methods for the Coupled Stokes-Darcy System. - Yizhong Sun; Feng Shi; Haibiao Zheng; Heng Li; Fan Wang (CoRR, 2021)

Two-Grid Arrow-Hurwicz Methods for the Steady Incompressible Navier-Stokes Equations. - Binbin Du; Jianguo Huang; Haibiao Zheng (J. Sci. Comput., 2021)

Two-grid finite element method for the dual-permeability-Stokes fluid flow model. - Nasrin Jahan Nasu; Md. Abdullah Al Mahbub; Shahid Hussain; Haibiao Zheng (Numer. Algorithms, 2021)

Parallel Domain Decomposition method for the fully-mixed Stokes-dual-permeability fluid flow model with Beavers-Joseph interface conditions. - Zheng Li; Feng Shi; Yizhong Sun; Haibiao Zheng (CoRR, 2022)

Local and parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system. - Jian Li 029; Xue Wang; Md. Abdullah Al Mahbub; Haibiao Zheng; Zhangxin Chen (J. Comput. Appl. Math., 2022)

A new coupled multiphysics model and partitioned time-stepping method for the triple-porosity-Stokes fluid flow model. - Nasrin Jahan Nasu; Md. Abdullah Al Mahbub; Haibiao Zheng (J. Comput. Phys., 2022)

Novel ensemble algorithms for random two-domain parabolic problems. - Yizhong Sun; Jiangshan Wang; Haibiao Zheng (CoRR, 2023)

Decoupled modified characteristics variational multiscale method for solving the blood solute dynamics model. - Sabah Atrout; Md. Abdullah Al Mahbub; Haibiao Zheng (Math. Comput. Simul., 2023)

Uncoupling evolutionary groundwater-surface water flows: stabilized mixed methods in both porous media and fluid regions. - Md. Abdullah Al Mahbub; Li Shan; Haibiao Zheng (Numer. Algorithms, 2023)

A Study of Numerical Pollution of the Decoupled Algorithm for the Convection Model in Superposed Fluid and Porous Layers. - Yuhong Zhang; Yao Rong; Haibiao Zheng (SIAM J. Numer. Anal., 2023)

Ensemble Domain Decomposition Algorithm for the Fully Mixed Random Stokes-Darcy Model with the Beavers-Joseph Interface Conditions. - Feng Shi; Yizhong Sun; Haibiao Zheng (SIAM J. Numer. Anal., 2023)

A high order generalized finite difference method for solving the anisotropic elliptic interface problem in static and moving systems. - Yanan Xing; Haibiao Zheng (Comput. Math. Appl., 2024)

Multiscale finite element method for Stokes-Darcy model. - Yachen Hong; Wenhan Zhang; Lina Zhao; Haibiao Zheng (CoRR, 2024)

Bootstrapping OTS-Funcimg Pre-training Model (Botfip) - A Comprehensive Symbolic Regression Framework. - Tianhao Chen; Pengbo Xu; Haibiao Zheng (CoRR, 2024)

Finite element method coupled with multiscale finite element method for the non-stationary Stokes-Darcy model. - Yachen Hong; Wenhan Zhang; Lina Zhao; Haibiao Zheng (CoRR, 2024)

New Ensemble Domain Decomposition Method for the Steady-state Random Stokes-Darcy Coupled Problems with Uncertain Parameters. - Chunchi Liu; Yao Rong; Yizhong Sun; Jiaping Yu; Haibiao Zheng (CoRR, 2024)

Extended one-dimensional reduced model for blood flow within a stenotic artery. - Suncica Canic; Shihan Guo; Yifan Wang; Xiaohe Yue; Haibiao Zheng (CoRR, 2024)

Runge-Kutta Discontinuous Galerkin Method Based on Flux Vector Splitting with Constrained Optimization-based TVB(D)-minmod Limiter for Solving Hyperbolic Conservation Laws. - Zhengrong Xie; Xiaofeng Cai; Haibiao Zheng (CoRR, 2024)

Coupled and Decoupled Stabilized Finite Element Methods for the Stokes-Darcy-Transport Problem. - Yongshuai Wang; Feng Shi; Zemin You; Haibiao Zheng (J. Sci. Comput., 2024)

Decoupled, Positivity-Preserving and Unconditionally Energy Stable Schemes for the Electrohydrodynamic Flow with Variable Density. - Kun Wang 030; Enlong Liu; Haibiao Zheng (J. Sci. Comput., 2024)

Asynchronous multimodal PINN pre-train framework based on TransVNet(MPP-TV) and its application in numerical solutions of the Cauchy problem for the Hamilton-Jacobi equation. - Tianhao Chen; Zeyu Li; Pengbo Xu; Haibiao Zheng (Comput. Math. Appl., 2025)

Coupling finite element and multiscale finite element methods for the non-stationary Stokes-Darcy model. - Yachen Hong; Wenhan Zhang; Lina Zhao; Haibiao Zheng (J. Comput. Phys., 2025)

FEM-MsFEM hybrid method for the Stokes-Darcy model. - Yachen Hong; Wenhan Zhang; Lina Zhao; Haibiao Zheng (J. Comput. Phys., 2025)

Botfip-LLM: An enhanced multimodal scientific computing framework leveraging knowledge distillation from large language models. - Tianhao Chen; Pengbo Xu; Haibiao Zheng (Knowl. Based Syst., 2025)

A Fully Parallelizable Loosely Coupled Scheme for Fluid-Poroelastic Structure Interaction Problems. - Shihan Guo; Yizhong Sun; Yifan Wang; Xiaohe Yue; Haibiao Zheng (SIAM J. Sci. Comput., 2025)

A high-order energy-conserving semi-Lagrangian discontinuous Galerkin method for the Vlasov-Ampere system. - Xiaofeng Cai; Qingtao Li; Hongtao Liu; Haibiao Zheng (CoRR, 2025)

A meshless generalized finite difference method for solving the Stokes-Darcy coupled problem in static and moving systems. - Yanan Xing; Haibiao Zheng (CoRR, 2025)