School of Mathematical Sciences, East China Normal University

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Zheng, Haibiao ( 郑海标 )

Title：	Researcher
Department：	Applied Mathematics
Office：	Room 207, Math Building
Telephone：	54342646-207
Email：	hbzheng@math.ecnu.edu.cn
Homepage：	http://math.ecnu.edu.cn/~hbzheng
Homepage2：	https://faculty.ecnu.edu.cn/_s42/zhb2/main.psp

Research Interest

Computational Mathematics

Resume

Resume:
2002.9-2006.7 西安交通大学信息与计算科学专业学士
2006.9-2011.12 西安交通大学计算数学博士（导师侯延仁教授）
2010.9-2011.8 美国匹兹堡大学联合培养博士生(导师W.J.Layton教授)。
2011.12-2014.9 西安交通大学数学与统计学院计算科学系讲师
2013.12-2014.3 香港理工大学助理研究员（访问林延平教授）
2014.7-2014.8 香港城市大学研究员（访问孙伟伟教授）
2014.10- 华东师范大学数学系，副教授

2013年陕西省高等学校科学技术奖一等奖（第二完成人）
2014年陕西省优秀博士学位论文

Selected Publications

个人主页（Homepage）：http://gr.xjtu.edu.cn/web/hbzheng13/home

博士学位论文：不可压缩Navier-Stokes方程变分多尺度方法研究

1. Jiaping Yu, Haibiao Zheng*, Feng Shi. A finite element variational multiscale method for incompressible flows based on the construction of the projection basis functions. International Journal for Numerical Methods in Fluids, 2012, 70: 793-804 (SCI 008PE).

2. Haibiao Zheng*, Yanren Hou, Feng Shi, A posteriori error estimates of stabilization of low-order mixed finite elements for incompressible flow[J]. SIAM J. Sci. Comput., 2010, 32: 1346-1361 (SCI 608IE).

3. Haibiao Zheng*, Li Shan, Yanren Hou, A quadratic equal-order stabilized method for Stokes problem based on two local Gauss integrations[J]. Numerical Methods for Partial Differential Equations, 2010, 26: 1180-1190 (SCI 640NH).

4. Haibiao Zheng*, Yanren Hou, Feng Shi, Adaptive Variational multiscale methods for incompressible flow based on two local Gauss integrations[J]. Journal of Computational Physics, 2010, 229: 7030-7041 (SCI 646VG).

5. Haibiao Zheng*, Yanren Hou, Feng Shi, Lina Song, A finite element variational multiscale method for incompressible flows based on two local Gauss integrations[J].Journal of Computational Physics, 2009, 228: 5961-5971 (SCI 474PH).

6. Lina Song, Yanren Hou, Haibiao Zheng, Adaptive Local Postprocessing Finite Element Method for the Navier-Stokes Equations[J], J. Sci. Computing, 55(2013), 255-267.(SCI 131DS)

7. Li Shan, Yanren Hou, Haibiao Zheng*, Variational Multiscale method Based on the Crank-Nicolson Extrapolation scheme for the non-stationary Navier-Stokes equations, International Journal of Computer Mathematics, 2012, 89(16): 2198-2223. (SCI 042PG).

8. Li Shan, Haibiao Zheng, W.J. Layton, A decoupling method with different subdomain time steps for the nonstationary stokes-darcy model [J], Numer.Method for Partial Differential Equations, 2013, 29(2): 549-583.（SCI 076XZ）

9. Li Shan, W.J.Layton, Haibiao Zheng, Numerical analysis of modular VMS methods with nonlinear eddy viscosity for the Navier-Stokes equations, International Journal of Numerical Analysis and Modelling, 2013, 10(4): 943-971.（SCI 217IW ）

10. Lina Song, Yanren Hou, Haibiao Zheng, Adaptive variational multiscale Method for the Stokes equations[J], International Journal for Numerical Methods in Fluids, 2013, 71: 1369-1381.(SCI 112VT)

11. Haibiao Zheng, Jiaping Yu, Kaitai Li, Feng Shi, A variational multiscale method with bubble stabilization for the Oseen problem based on two local Gauss integrations[J], Applied Mathematics and Computation, 2012, 219(8): 3701-3708.(SCI 041WA).

12. Li Shan, Haibiao Zheng*, Partitioned time stepping method for fully evolutionary Stokes-Darcy flow with Beavers-Joseph interface conditions[J], SIAM J. Numer. Anal., 2013, 51(2): 813-839.(SCI 136ZZ)

13. Haibiao Zheng, Feng Shi, Yanren Hou, Jianping Zhao. A new local and parallel finite element algorithm based on the partition of unity [J], submit to

14. Jiaping Yu, Feng Shi, Haibiao Zheng. Local and parallel finite element method based on the partition of unity for the Stokes problem[J], SIAM J. Sci. Comput., 2014, 36(5): C547-C567.http://dx.doi.org/10.1137/130925748

15. Haibiao Zheng, Jiaping Yu, Feng Shi. Local and parallel finite element method based on the partition of unity for incompressible flow[J], J. Sci. Comput., DOI: 10.1007/s10915-014-9979-x

16. Haibiao Zheng, Lina Song, Yanren Hou, Yuhong Zhang. The partition of unity parallel finite element algorithm[J], Adv. Comp. Math., DOI 10.1007/s10444-014-9392-x

17. Feng Shi, Haibiao Zheng, Jiaping Yu, Ying Li, On the convergence of Variational multiscale methods based on Newton's iteration for the incompressible flows[J]. Appl. Math. Model., 2014, 38: 5726-5742.

18. Cong Xie, Haibiao Zheng, A parallel variational multiscale method for incompressible fows based on the partition of unity. Int. J. Numer. Anal. Model., 2014, 11, 854-865.

19. Li Shan, Haibiao Zheng, Jiaping Yu. Second-order partitioned time stepping methods for a parabolic two domain problem[J], Numer. Meth.PDEs,submit to

Recent Publications(From MathSciNet)

MR5037786 Reviewed Liu, Chunchi; Rong, Yao; Sun, Yizhong; Yu, Jiaping; Zheng, Haibiao Multi-level Monte Carlo ensemble domain decomposition method for the random Stokes-Darcy models with uncertain parameters. J. Comput. Phys. 556 (2026), Paper No. 114800, 19 pp. 65M55 (35Q35 65C05 65M60 76M10)

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Publication Year 2026 Indexed 2026-05-12 Review Published2026-05-22

MR5030499 Reviewed Cai, Xiaofeng; Li, Qingtao; Liu, Hongtao; Zheng, Haibiao A high-order energy-conserving semi-Lagrangian discontinuous Galerkin method for the Vlasov-Ampère system. Acta Mech. Sin. 42 (2026), no. 2, Paper No. 725364, 19 pp. 65M12 (65M60)

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Publication Year 2026 Indexed 2026-04-21 Review Published2026-05-05

MR4979531 Reviewed Atrout, Sabah; Mahbub, Md. Abdullah Al; Li, Chenyang; Zheng, Haibiao Efficient and long-time accurate second-order decoupled method for the blood solute dynamics model. Int. J. Numer. Anal. Model. 23 (2026), no. 1, 24–62. 76D05 (65M60 76M10 76R50 76Z05)

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Publication Year 2026 Indexed 2026-01-07 Review Published2026-02-06

MR4944027 Reviewed Li, Chenyang; Zheng, Haibiao Temporal error analysis of a BDF2 time-discrete scheme for the incompressible Navier-Stokes equations with variable density. J. Comput. Appl. Math. 474 (2026), Paper No. 116997, 20 pp. 65M12 (65M60)

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Publication Year 2026 Indexed 2025-10-01 Review Published2025-10-14

MR4972439 Reviewed Shen, Minjie; Yang, Danping; Zheng, Haibiao Non-iterative parallel Schwarz domain decomposition algorithms for a two-domain parabolic problem. Commun. Comput. Phys. 38 (2025), no. 5, 1552–1584. 65M55 (35K40 65M12 65M60)

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Publication Year 2025 Indexed 2025-12-08 Review Published2026-04-29

MR4955716 Pending Liu, Ziwei; Shan, Li; Sun, Yizhong; Zheng, Haibiao SAV decoupled ensemble algorithm for the dual-porosity-Stokes model with uncertainty quantification. Numer. Methods Partial Differential Equations 41 (2025), no. 5, Papar No. e70037, 17 pp. 65M60 (65M12 65M22)

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Publication Year 2025 Indexed 2025-10-30

MR4951107 Indexed Xing, Yanan; Zheng, Haibiao A meshless generalized finite difference method for solving the Stokes-Darcy coupled problem in static and moving systems. Eng. Anal. Bound. Elem. 179 (2025), part B, Paper No. 106434, 23 pp. 65N30 (65N12)

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Publication Year 2025 Indexed 2025-10-20

MR4942764 Pending Guo, Shihan; Sun, Yizhong; Wang, Yifan; Yue, Xiaohe; Zheng, Haibiao A fully parallelizable loosely coupled scheme for fluid-poroelastic structure interaction problems. SIAM J. Sci. Comput. 47 (2025), no. 4, B951–B975. 65M60 (65M22 74F10 76D05 76S05)

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Publication Year 2025 Indexed 2025-09-29

MR4887254 Indexed Chen, Tianhao; Li, Zeyu; Xu, Pengbo; Zheng, Haibiao 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. Comput. Math. Appl. 187 (2025), 203–230. 65M60 (68T07 70H20)

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Publication Year 2025 Indexed 2025-06-02

MR4885618 Reviewed Hong, Yachen; Zhang, Wenhan; Zhao, Lina; Zheng, Haibiao FEM-MsFEM hybrid method for the Stokes-Darcy model. J. Comput. Phys. 532 (2025), Paper No. 113952, 25 pp. (Reviewer: Qiang Ma) 65N30

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Publication Year 2025 Indexed 2025-06-05 Review Published2026-01-28

MR4874261 Reviewed Hong, Yachen; Zhang, Wenhan; Zhao, Lina; Zheng, Haibiao Coupling finite element and multiscale finite element methods for the non-stationary Stokes-Darcy model. J. Comput. Phys. 530 (2025), Paper No. 113899, 24 pp. (Reviewer: Bo Zheng) 65M60 (65M55)

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Publication Year 2025 Indexed 2025-05-15 Review Published2026-01-10

MR4835910 Reviewed Xiang, Yuting; Zheng, Haibiao Partitioned time stepping method for time-fractional Stokes-Darcy model with the Beavers-Joseph-Saffman interface conditions. Comput. Math. Appl. 178 (2025), 154–178. (Reviewer: Martin Vohralík) 76S05 (65M12 65M60)

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Publication Year 2025 Indexed 2025-02-18 Review Published2025-08-12

MR4811973 Reviewed Li, Zheng; Shi, Feng; Sun, Yizhong; Zhang, Yuhong; Zheng, Haibiao A parallel domain decomposition method for the fully-mixed Stokes-dual-permeability fluid flow model with Beavers-Joseph interface conditions. Commun. Comput. Phys. 36 (2024), no. 2, 551–580. (Reviewer: Bo Zheng) 65M55 (65M60 76M10)

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Publication Year 2024 Indexed 2025-01-03 Review Published2025-05-02

MR4808341 Reviewed Wang, Kun; Liu, Enlong; Zheng, Haibiao Decoupled, positivity-preserving and unconditionally energy stable schemes for the electrohydrodynamic flow with variable density. J. Sci. Comput. 101 (2024), no. 2, Paper No. 52, 45 pp. 65N30 (65N15)

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Publication Year 2024 Indexed 2024-12-12 Review Published2025-03-20

MR4748941 Reviewed Wang, Yongshuai; Shi, Feng; You, Zemin; Zheng, Haibiao Coupled and decoupled stabilized finite element methods for the Stokes-Darcy-transport problem. J. Sci. Comput. 100 (2024), no. 1, Paper No. 7, 38 pp. (Reviewer: Huangxin Chen) 65N30 (65M60 76D07 76M10)

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Publication Year 2024 Indexed 2024-07-31 Review Published2025-01-31

MR4739758 Reviewed Xing, Yanan; Zheng, Haibiao A high order generalized finite difference method for solving the anisotropic elliptic interface problem in static and moving systems. Comput. Math. Appl. 166 (2024), 1–23. (Reviewer: Yufeng Xu) 65N06 (35J25 35R37 74E10 76M20)

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Publication Year 2024 Indexed 2024-07-08 Review Published2025-01-14

MR4710613 Reviewed Sun, Yizhong; Wang, Jiangshan; Zheng, Haibiao Novel partitioned time-stepping algorithms for fast computation of random interface-coupled problems with uncertain parameters. Numer. Math. Theory Methods Appl. 17 (2024), no. 1, 145–180. (Reviewer: Qiaolin He) 65M60 (65C05 65M55)

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Publication Year 2024 Indexed 2024-04-08 Review Published2024-07-12

MR4697941 Reviewed Wang, Yongshuai; Peng, Zhenjiang; Abdullah Al Mahbub, Md.; Zheng, Haibiao Partitioned schemes for the blood solute dynamics model by the variational multiscale method. Appl. Numer. Math. 198 (2024), 318–345. 65M60 (65K15)

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Publication Year 2024 Indexed 2024-03-29 Review Published2024-04-30

MR4599967 Reviewed Shi, Feng; Sun, Yizhong; Zheng, Haibiao Ensemble domain decomposition algorithm for the fully mixed random Stokes-Darcy model with the Beavers-Joseph interface conditions. SIAM J. Numer. Anal. 61 (2023), no. 3, 1482–1512. 65M55 (65M60)

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Publication Year 2023 Indexed 2023-07-26 Review Published2023-08-15

MR4596563 Reviewed Du, Binbin; Huang, Jianguo; Mahbub, Md. Abdullah Al; Zheng, Haibiao Two-level methods based on the Arrow-Hurwicz iteration for the steady incompressible magnetohydrodynamic system. Numer. Methods Partial Differential Equations 39 (2023), no. 4, 3332–3355. (Reviewer: Xiaodi Zhang) 65N30 (76W05 78A25)

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Publication Year 2023 Indexed 2023-07-11 Review Published2023-09-25

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