Professor Dr. Md. Abdullah Al Mahbub

Faculty Member image

Professor Dr. Md. Abdullah Al Mahbub

Professor

Department of Mathematics, Comilla University
Cumilla-3506, Bangladesh

dipmahbub13@yahoo.com, dipmahbub13@cou.ac.bd
01727244330

Dr. Md. Abdullah Al Mahbub is working as an Associate Professor in the Department of Mathematics, Comilla University. Dr. Mahbub is involved in mathematical modeling, generating novel algorithms, and finite element analysis aiming to understand fluid flow motion in various situarions. His research area covers Computational fluid dynamics, Numerical solution of partial differential equations (PDEs), Finite element methods, Finite difference methods, Large scale computations, Mathematical modeling of the surface and subsurface flows including Navier/Stokes-Darcy model, dual-porosity-Navier/Stokes model, triple-porosity-Navier/Stokes model, Closed and open-loop geothermal systems, Blood solute dynamics model, Magnetohydrodynamics (MHD), Mathematical Biology, and Dynamical systems.

Department of Mathematics, Comilla University, Bangladesh
Associate Professor
November 2020 - Present


Department of Mathematics, Comilla University, Bangladesh
Assistant Professor
March 2014 - November 2014


Department of Mathematics, Comilla University, Bangladesh
Lecturer
January 2011 - March 2011


1. Atrout Sabah, Md. Abdullah Al Mahbub and Haibiao Zheng, Decoupled modified characteristics variational multiscale method for solving the blood solute dynamics model, Comput. Math. Simu., 211 (2023), 23-56, https://doi.org/10.1016/j.matcom.2023.03.035

2. Binbin Du, Jianguo. Huang, Md. Abdullah Al Mahbub and Haibiao Zheng, Two-Level Arrow-Hurwicz methods for the steady incompressible magnetohydrodynamic equations, Numer. Methods Partial Differential Eqa., 39(4) (2023), 3332-3355, https://doi.org/10.1002/num.23010 

3. Md. Abdullah Al Mahbub, Li Shan and Haibiao Zheng, Uncoupling evolutionary groundwater-surface water flows: stabilized mixed methods in both porous media and  fluid regions, Numer. Algo., 92 (2022), 1837-1874, https://doi.org/10.1007/s11075-022-01370-3

4. Nasrin Jahan Nasu, Md. Abdullah Al Mahbub and Haibiao Zheng, A new coupled multiphysics model and partitioned time-stepping method for the triple-porosity-Stokes fluid flow model, J. Comput. Phys., 466 (2022) 111397, https://doi.org/10.1016/j.jcp.2022.111397

5. Shahid Hussain, Md. Abdullah Al Mahbub and F. Shi, A stabilized finite element methods for the Stokes-Stokes interface problems, J. Math. Fluid Mach., 24 (63) (2022) 1-20, https://doi.org/10.1007/s00021-022-00694-3

6. Jian li, Xue Wang, Md. Abdullah Al Mahbub, Haibiao Zheng and Zhangxin Chen, Local and Parallel efficient BDF2 and BDF3 rotational pressure-correction schemes for a coupled Stokes/Darcy system, J. Comput. App. Math., 412 (114326), 2022, https://doi.org/10.1016/j.cam.2022.114326

7.   Muhammad Mohebujjaman, Hongwei Wang, Leo G. Rebholz, Md. Abdullah Al Mahbub,  An efficient algorithm for parameterized magnetohydrodynamic flow ensembles simulation, Comput. Math. Appl., 112 (2022) 167-180, https://doi.org/10.1016/j.camwa.2022.02.014

8. Muhammad Mohebujjaman, Hongwei Wang, Leo G. Rebholz, Md. Abdullah Al MahbubAn efficient algorithm for parameterized magnetohydrodynamic flow ensembles simulation, Comput. Math. Appl., 112 (2022) 167-180, https://doi.org/10.1016/j.camwa.2022.02.014

9. Luling  Cao, Yinnian He,   Jian Li,  Md. Abdullah Al  Mahbub, Decoupled modified characteristic finite element method with different subdomain time steps for nonstationary dual-porosity-Navier-Stokes model, App. Numer. Math, 166 (2021) 238-271, https://doi.org/10.1016/j.apnum.2021.04.012

10. Nasrin Jahan Nasu, Md. Abdullah Al Mahbub, Shahid Hussain and Haibiao Zheng, Two-grid finite element method for the dual-permeability-Stokes fluid flow model, Numer. Algo., 88 (2021) 1703-1731, https://doi.org/10.1007/s11075-021-01091-z

11.  Md. Abdullah Al Mahbub, Xiaoming He,Nasrin Jahan Nasu, Changxin Qiu,Yifan Wang and Haibiao Zheng, A coupled multiphysics model and a decoupled stabilized finite element method for the closed-loop geothermal system, SIAM J. Sci. Comput., 42 (04) (2020) B951-B982, https://doi.org/10.1137/19M1293533

12.  Md. Abdullah Al Mahbub, Feng Shi, Nasrin Jahan Nasu, Yongshuai Wang, Haibiao Zheng, Mixed stabilized finite element method for the stationary Stokes-dual permeability fluid flow model, Comput. Methods  App. Mech. Eng., 358 (2020) 112616, https://doi.org/10.1016/j.cma.2019.112616

13. Nasrin Jahan Nasu, Md. Abdullah Al Mahbub, Shahid Hussain, Danping Yang and Haibiao Zheng, Partitioned time stepping  schemes for the non-stationary dual-fracture-matrix fluid flow model, App. Math. Model., 79 (2020) 200-229, https://doi.org/10.1016/j.apm.2019.10.032

14. Jian Li, Min Yao, Md. Abdullah Al Mahbub, Haibiao Zheng, The efficient rotational pressure-correction schemes  for the coupling Stokes/Darcy problem, Comput. Math. Appl., 79 (2) (2020), 337-353, https://doi.org/10.1016/j.camwa.2019.06.033

15. Yongshuai Wang, Md. Abdullah Al Mahbub,   Haibiao Zheng, Characteristic stabilized  finite element method for the  non-stationary conduction-convection problems, Int. J. Numer. Methods Heat fluid flow, 30 (2) (2019) 625-658, https://doi.org/10.1108/HFF-04-2019-0318

16.  Md. Abdullah Al Mahbub, Xiaoming He, Nasrin Jahan Nasu, Changxin Qiu and  Haibiao Zheng, Coupled and decoupled stabilized mixed finite element methods for non-stationary dual-porosity-Stokes fluid flow model, Int. J. Numer. Methods Eng., 120 (6) (2019) 803-829, https://doi.org/10.1002/nme.6158

17.   Shahid Hussian, Afshan Batool, Md. Abdullah Al Mahbub, Nasrin Jahan Nasu and Jiaping Yu, SUPG approximation for the Oseen viscoelastic fluid flow with stabilized lowest–equal order mixed finite element method, Mathematics, 7 (2) (2019) 1-19, https://doi.org/10.3390/math7020128

18. Md. Abdullah Al Mahbub, Shahid Hussian, Nasrin Jahan Nasu and Haibiao Zheng, Decoupled scheme for non-stationary viscoelastic fluid flow, Adv. Appl. Math. Mech., 10 (05) (2018) 1191-1226, https://doi.10.4208/aamm.OA-2017-0186

19. Shahid Hussian, Md. Abdullah Al Mahbub, Nasrin Jahan Nasu and Haibiao Zheng, Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow, Adv. Diffe. Equ., 461 (2018) 1-19, https://doi.org/10.1186/s13662-018-1916-0

20. Nasrin Jahan Nasu, Md. Abdullah Al Mahbub, Shahid Hussain and Haibiao Zheng, Two-level finite element approximation for Oseen viscoelastic fluid flow, Mathematics, 06 (05) (2018), 1-20, https://doi.org/10.3390/math6050071

21. Md. Abdullah Al Mahbub, Nasrin Jahan Nasu, Shomi Aktar, Zillur Rahman, Soret-Dufour effects on the MHD flow and heat transfer of microrotation fluid over a nonlinear stretching plate in the presence of suction, App. Math., 04 (06) (2013) 864-875, https://doi.10.4236/am.2013.46119

22. Md. Alamgir Kabir, Md. Abdullah Al Mahbub, Effects of thermophoresis on unsteady MHD free convective heat and mass transfer along an inclined porous plate with heat generation in presence of magnetic field, open J. Fluid. Dyn., 02 (04) (2012) 120-129, https://doi.10.4236/ojfd.2012.24012

 


  • Computational fluid dynamics, Numerical solutions of partial differential equations (PDEs), Finite element methods, Stabilized mixed finite element methods  
  • Finite difference methods, Large scale computations, Mathematical modeling and numerical approximations of the surface and subsurface flows  
  • Navier/Stokes-Darcy models, dual-porosity-Navier/Stokes models, triple-porosity-Navier/Stokes models, fractured porous medium  
  • Natural Convection, FHD Models, Diffuse interface models, Closed and open-loop geothermal system, Blood solute dynamics model, Magnetohydrodynamics (MHD),  
  • Mathematical modeling in Biology, and Dynamical systems  
Program Course Session Course Outline Course Materials