### Research Interest

Nonlinear differential equations with industrial applications; Modeling, numerical simulations, finite element analysis, symbolic computation, application of simulation software; Stability and integrity of structures of advanced materials with applications in energy and bio-medical engineering, MEMS and NEMS; Non-Newtonian flows and polymer extrusion; Interdisciplinary research; Actuarial mathematics.

**Dongming Wei** is a full Professor in the Department of Mathematics of Nazarbayev University, he joined the Mathematics faculty in June of 2014. He obtained his BS Degree in Mathematics from Guangxi University in 1982 and his PhD in Applied Mathematics from Michigan State University in 1988. Prior to SST he held assistant, associate, and full professor positions at University of New Orleans from 1988 to 2014. His research portfolio includes nonlinear finite element analysis of engineering problems in solid and fluid mechanics, modeling of graphene based structural materials, modeling of human eye and cancer cells, modeling of soil foundations and landslides, modeling of porous medium flows at high Reynolds numbers, computational non-Newtonian thermal flows in extrusion dies, numerical solutions of nonlinear option price equations.

Analysis of dynamic pull-in voltage of a graphene MEMS model

Piotr Skrzypacz, Shirali Kadyrov, Daulet Nurakhmetov, Dongming Wei, **2019** In : Nonlinear Analysis: Real World Applications. 45 , p 581-589

Dynamic pull-in for micro–electromechanical device with a current-carrying conductor

Ji Huan He, Daulet Nurakhmetov, Piotr Skrzypacz, Dongming Wei, **2019** In : Journal of Low Frequency Noise Vibration and Active Control.

Generalized stiffness and effective mass coefficients for power-law Euler–Bernoulli beams

Piotr Skrzypacz, Daulet Nurakhmetov, Dongming Wei, **2019** In : Acta Mechanica Sinica/Lixue Xuebao.

On the application of Sturm’s theorem to analysis of dynamic pull-in for a graphene-based MEMS model

D. Omarov, D. Nurakhmetov, D. Wei, P. Skrzypacz, **2018** In : Applied and Computational Mechanics. 12 , p 1 , p 59-72

Nonlinear Waves in Rods and Beams of Power-Law Materials

Dongming Wei, Piotr Skrzypacz, Xijun Yu, **2017** In : Journal of Applied Mathematics. 2017

On the discrete maximum principle for the local projection scheme with shock capturing

Piotr Skrzypacz, Dongming Wei, **2017** In : Journal of Computational Mathematics. 35 , p 5 , p 547-568

Periodic solutions of a graphene based model in micro-electro-mechanical pull-in device

D. Wei, S. Kadyrov, Z. Kazbek, **2017** In : Applied and Computational Mechanics. 11 , p 1 , p 81-90

Solvability of the Brinkman-Forchheimer-Darcy Equation

Piotr Skrzypacz, Dongming Wei, **2017** In : Journal of Applied Mathematics. 2017

Buckling and post-buckling of graphene tubes

Mohamed B. Elgindi, Dongming Wei, Yu Liu, Hailan Xu, **2016** In : Mechanics of Advanced Materials and Structures. 23 , p 4 , p 402-406

Numerical Analysis for Retaining Walls Subjected to Swelling Pressure

Dongming Wei, Liu Yu, Dichuan Zhang, Wai Ko, Jong Kim, **2016** In : .

Characterization of Corneal Indentation Hysteresis

Match W L Ko, Dongming Wei, Christopher K S Leung, **2015** In : . 2015-November , p 7784-7787

Analysis of impact response of RC beams and influencing factors

De Min Wei, De Yuan Liu, **2014** In : Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology. 34 , p 119-122

An iterative finite difference scheme for buckling of graphene beam subject to axial compressive load

Mohamed B. Elgindi, Dongming Wei, Mohammed A. Ghazy, **2014** In : . , p 79-82

Buckling and deformation of Hollomon's power-law tubes

Mohamad B. Elgindi, Dongming Wei, Yu Liu, Khurram Kamran, Hailan Xu, **2014** In : Thin-Walled Structures. 74 , p 213-221

Optimal numerical flux of power-law fluids in some partially full pipes

Lew Lefton, Dongming Wei, Y. Liu, **2014** In : International Journal of Computational Fluid Dynamics.

Similarity solutions for non-Newtonian power-law fluid flow

D. M. Wei, S. Al-Ashhab, **2014** In : Applied Mathematics and Mechanics. 35 , p 9 , p 1155-1166

Some analytic and finite element solutions of the graphene Euler beam

Dongming Wei, Yu Liu, Mohamad B. Elgindi, **2014** In : International Journal of Computer Mathematics. 91 , p 10 , p 2276-2293

A note on acoustic propagation in power-law fluids

Dongming Wei, P. M. Jordan, **2013** In : International Journal of Non-Linear Mechanics. 48 , p 72-77

Critical buckling loads of the perfect Hollomon's power-law columns

Dongming Wei, Alejandro Sarria, Mohamed Elgindi, **2013** In : Mechanics Research Communications. 47 , p 69-76

Existence of equilibrium states of hollow Hollomon cylinders submerged in a fluid

M. B M Elgindi, D. Wei, **2013** In : Applied Mathematical Sciences. 7 , p 65-68 , p 3271-3280

Analytic and finite element solutions of the power-law Euler-Bernoulli beams

Dongming Wei, Yu Liu, **2012** In : Finite Elements in Analysis and Design. 52 , p 31-40

On the global solvability of a class of fourth-order nonlinear boundary value problems

M. B M Elgindi, Dongming Wei, **2012** In : Applied Mathematical Sciences. 6 , p 117-120 , p 5981-5992

Some generalized trigonometric sine functions and their applications

Dongming Wei, Yu Liu, Mohamed B. Elgindi, **2012** In : Applied Mathematical Sciences. 6 , p 121-124 , p 6053-6068

Travelling wave solutions of Burgers' equation for Gee-Lyon fluid flows

Dongming Wei, Ken Holladay, **2012** In : Applied Mathematics E - Notes. 12 , p 129-135

Traveling wave solutions of Burgers' equation for power-law non-Newtonian flows

Dongming Wei, Harry Borden, **2011** In : Applied Mathematics E - Notes. 11 , p 132-138

Finite element solutions of heat transfer in molten polymer flow in tubes with viscous dissipation

Dongming Wei, Haibiao Luo, **2003** In : International Journal of Heat and Mass Transfer. 46 , p 16 , p 3097-3108

Penalty finite element approximations of the stationary power-law Stokes problem

L. Lefton, D. Wei, **2003** In : Journal of Numerical Mathematics. 11 , p 4 , p 301-322

A penalty method for approximations of the stationary power-law stokes problem

Lew Lefton, Dongming Wei, **2001** In : Electronic Journal of Differential Equations. 2001

Decay estimates of heat transfer to melton polymer flow in pipes with viscous dissipation

W. E I Dongming, Zhenbu Zhang, **2001** In : Electronic Journal of Differential Equations. 2001

Penalty approximations to the stationary power-law Navier-Stokes problem

D. Wei, **2001** In : Numerical Functional Analysis and Optimization. 22 , p 5-6 , p 749-765

A priori L^{ρ} error estimates for Galerkin approximations to porous medium and fast diffusion equations

Dongming Wei, Lew Lefton, **1999** In : Mathematics of Computation. 68 , p 227 , p 971-989

Numerical approximation of the first eigenpair of the p-Laplacian using finite elements and the penalty method

Lew Lefton, Dongming Wei, **1997** In : Numerical Functional Analysis and Optimization. 18 , p 3-4 , p 389-399

Radial Solutions to A Nonlinear P-Harmonic Dirichlet Problem

Ratph Saxton, Dongming Wei, **1993** In : Applicable Analysis. 51 , p 1-4 , p 59-80

Existence, uniqueness, and numerical analysis of solutions of a quasilinear parabolic problem

Dongming Wei, **1992** In : SIAM Journal on Numerical Analysis. 29 , p 2 , p 484-497

Finite element approximation of the first eigenpair of a nonlinear problem

Dongming Wei, **1991** In : Numerical Functional Analysis and Optimization. 12 , p 5-6 , p 611-620

An Existence Theorem for Weak Solution of a Nonlinear Dam Problem

Dongming Wei, **1989** In : Applicable Analysis. 34 , p 3-4 , p 219-230

Finite Element Approximations of Solutions to P-Harmonic Equation with Dirichlet Data

Dongming Wei, **1989** In : Numerical Functional Analysis and Optimization. 10 , p 11-12 , p 1235-1251

[1] P. Skrzypacza, S. Kadyrov, D. Nurakhmetov, D. Wei, Analysis of Dynamic Pull-in Voltage of a Nonlinear Material NEMS Model, Materials Today:Proceedings 00 (2017) 1–8.

[2] P. Skrzypacz, and D. Wei, Solvability of the Brinkman-Forchheimer-Darcy Equation, Journal of Applied Mathematics, Volume 2017 (2017), Article ID 7305230.

[3] D. Wei, S. Kadyrov, and Z. Kazbek, Periodic Solutions of a Graphene Based Model in Micro-Electro-Mechanical Pull-in Device, Applied and Computational Mechanics 11 (2017), pp.81–90.

[4] P. Skrzypacz, and D. Wei, On the Discrete Maximum Principle for the Local Projection Scheme with Shock Capturing, Journal of Computational Mathematics Vol.35, No.5, 2017, 547–568.

[5] M. B. M. Elgindi, D. Wei and Y. Liu, Buckling and Post-Buckling of Graphene Tubes, Mechanics of Advanced Materials and Structures, Vol. 23, Issue 4 (2016) pp.402-406.

[6] D. Wei, Yu Liu, D. Zhang, M. W. L. Ko, and J. R. Kim, Numerical Analysis for Retaining Walls Subjected to Swelling Pressure, Proceedings of 2016 International Conference on Architecture, Structure and Civil Engineering (ICASCE’16), London (UK) March. 26-27, 2016.

[7] H. Hazin, D.Wei, M.B.M. Elgindi, and Y. Soukiassiani, A Lumped-Parameter Model for Nonlinear Waves in Graphene, World Journal of Engineering and Technology, 3, (2015) pp. 57-69.

[8] M. W.L. Ko, D. Wei, C.K.S. Leung, Characterization of Corneal Indentation Hysteresis, Engineering in Medicine and Biology Society (EMBC), 37th Annual International Conference of the IEEE, (2015) pp.7784-7787.

[9] L. Lefton, D. Wei, and Yu. Liu, Optimal Numerical Flux of Power Law Fluids in Some Partially Full Pipes, International Journal of Computational Fluid Dynamics, Vol. 28, 6-10, (2014) pp. 351-362.

[10] S. Al-Ashhab, and D. Wei, Negative Curvature Solutions in a NonNewtonian Power-law Fluid Flow, Pacific Journal of Applied Mathematics, Vol.6, No. 4, (2014) pp. 289 –303.

[11] M. B. M. Elgindi, D. Wei, Y. Soukiassian, and Y. Liu, On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load, World Journal of Engineering and Technology, 2, (2014) pp.135-144.

[12] D. Wei, M.B.M. Elgindi, and Y. Liu, Some Analytic and Finite Element Solutions of the Graphene Euler Beam, International Journal of Computer Mathematics, 91 (2014) pp. 2276-2293.

[13] M.B.M. Elgindi, D. Wei, Y. Liu, K. Kamran, and H.L. Xu, Buckling and Deformation of Hollomon’s Power-Law Tubes, Thin-Walled Structures, Vol. 74, (2014) pp. 213 – 221.

[14] Introduction to Finite Element Analysis-A Computational Approach, Springer-with P. Kythe, Birkhäuser, Boston, 2004 (ISBN: 978-0-8176-4308-9).

Full list of publications can be found on google scholar page.