Specialization

Numerical Analysis, Finite Element Methods, Singularly Perturbed Problems, Domain-Decomposition methods

Email

vivek.sangwan@thapar.edu

Dr. Vivek Sangwan

Assistant Professor

vivek.sangwan@thapar.edu

Biography

Dr. Vivek Sangwan is working as an Assistant Professor in the Department of Mathematics, Thapar Institute of Engineering & Technology, Patiala, Punjab, India. He joined the Thapar Institute of Engineering & Technology on April 24, 2012. He obtained his Ph.D. degree from Department of Mathematics and Statistics, IIT Kanpur in 2012. He has several publications in SCI/SCIE/SCOPUS listed international journals and other reputed peer-reviewed journals. His research interests include numerical analysis, finite element methods, singularly perturbed problems, mesh free methods. His teaching interests include both the pure and applied mathematics courses. He has delivered many invited lectures and presented research work in many national and international conferences.

Experience:

• Assistant Professor, Department of Mathematics, Thapar Institute of Engineering and Technology, Patiala. (April, 2012 - Till date)
• Visiting Faculty, Department of Mathematics, LNMIIT Jaipur, Rajasthan (January 2011-May 2011)

Teaching Interests:

• Numerical Analysis
• Ordinary Differential Equations
• Partial Differential Equations
• Mathematical Methods
• Real Analysis
• Topology
• UG Courses

Research Interests :

• Numerical Analysis
• Singularly Perturbed Problems
• Finite Element Methods
• Meshfree Methods
• Differential Equations

Publications:

Journals

1. Jagbir Kaur, Vivek Sangwan, Rahul Kumar, Error estimation for non-linear singularly perturbed reaction–diffusion parabolic problems via element-free Galerkin method, Reaction Kinetics, Mechanisms and Catalysis, 137, 1255-1281, 2024.
2. Prashu, Raj Nandkeolyar, Premful Kumar, Vivek Kumar Sinha, Vivek Sangwan, Entropy generation and regression analysis of magnetohydrodynamic stagnation point flow of a casson fluid with radiative and dissipative heat transfer and Hall effects, Mathematical Problems in Engineering, 2023, 8154625-(1-17), 2023.
3. Prashu, Raj Nandkeolyar and Vivek Sangwan, Numerical simulation of non-uniform heat generation/absorption and dissipation effects on the unsteady MHD flow of a couple-stress dusty fluid, AIP Conference Proceedings, 2435, 020042-(1-14), 2022.
4. Jagbir Kaur, Vivek Sangwan, An Adaptive Element-Free Galerkin Approach for Solving Singularly Perturbed Boundary Layer Problems, Journal of Applied and Industrial Mathematics, 16(2), 211-226, 2022.
5. Jagbir Kaur, Vivek Sangwan, Stability estimates for singularly perturbed Fisher’s equation using element-free Galerkin algorithm, AIMS Mathematics, 2022-7(10), 19105-19125, 2022. (SCIE, IF 2.739), ISSN: 2473-6988.
6. Jagbir Kaur, Vivek Sangwan, Exponentially Fitted Element-Free Galerkin Approach for Nonlinear Singularly Perturbed Problems, Journal of Mathematics, 2021, 1-18, 2021.
7. Brehmit Kaur, Vivek Sangwan, A Posteriori error estimates for Hughes stabilized SUPG technique and adaptive refinement for a convection-diffusion problem, Advances in Mathematical Physics, 2020, 1-9, 2020.
8. Vivek Sangwan, Brehmit Kaur, An exponentially fitted numerical technique for singularly perturbed Burgers-Fisher equation on a layer adapted mesh, International Journal of Computer Mathematics, 96(7), 1502-1513, 2019.
9. M. Sharma, BVR Kumar, V. Sangwan, SK Murthy, Modeling and Simulation of Dispersed Two - Phase Flows of Bubbles, Drops and Particles, World Journal of Modelling and Simulation, 11(2),145-160, 2015.
10. Vivek Sangwan, B.V. Rathish Kumar, Uniformly convergent 3-TGFEM Vs LSFEM for singularly perturbed convection-diffusion problems on a Shishkin based logarithmic mesh, International Journal of Numerical Analysis and Modeling, Series-B, 4(4):315-334, 2013.
11. Vivek Sangwan, B.V. Rathish Kumar, Finite element analysis for mass-lumped three-step Taylor Galerkin method for time dependent singularly perturbed problems with exponentially fitted splines, Numerical Functional Analysis and Optimization. 33(6), 638-660, 2012.
12. B.V. Rathish Kumar, Vivek Sangwan, S.V.S.S.N.V.G. Krishna Murthy, Mohit Nigam, A numerical study of singularly perturbed generalized Burgers-Huxley equation using three-step Taylor Galerkin method, Computers and Mathematics with Applications, 62(2), 776-786, 2011 S.K. Murthy, B.V.R. Kumar, P. Chandra, V. Sangwan, M. Nigam, A study of double diffusive free convection from a corrugated vertical surface in a Darcy porous medium under Soret and Dufour effects, ASME Journal of Heat and Mass Transfer, 133(9), 092601-1 – 7, 2011.   Vivek Sangwan, B.V. Rathish Kumar, S.V.S.S.N.V.G. Krishna Murthy, Mohit Nigam, Three-step Taylor Galerkin method for singularly perturbed generalized Hodgkin-Huxley equation, International Journal of Modeling, Simulation and Scientific Computing, 1(2), 257-276, 2010.

    Awards and Honors:

    • Awarded Senior Research Fellowship in 2007 by CSIR.
    • Awarded Junior Research Fellowship in 2004 by CSIR.
    • Won many positions in institutional level sports activities held at IIT Kanpur.
    • Won second position in 50 KM IIT Kanpur Golden Jubilee (Ultra)Marathon, 2010.
    • Coordinator, IIT Kanpur Golden Jubilee (Ultra)Marathon, 2010.
    • Coordinator, Tae-Kwan-Do Club, IIT Kanpur, 2009-10.
    • Parliamentarian, Students’ Senate, IIT Kanpur, 2007-08.