Dr. Vivek


Assistant Professor


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



Contact No.: +91 7355740561


Dr. Vivek Sangwan is working as an Assistant Professor in the School 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 8 publications in SCI/SCIE listed international journals and 3 publications in 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 presented research papers in many national and international conferences and attend many conferences and workshops.

Publications and other Research Outputs

SCI/SCIE: 08; Non-SCI: 03

List of Publications in Peer-Reviewed Journals:

  1. 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.

  2. 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.

  3. 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.

  4. 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.

  5. 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”, Journal of Heat Transfer, 133(9), 092601-1 – 7, 2011.

  6. B.V.Rathish Kumar, S.K.Pathak, Sangwan Vivek, S.K.Murthy, “A numerical simulation of cardiac electric activity in LV based on mono-domain model”, Journal of Mechanics in Medicine and Biology, 10(3), 431-444, 2010.

  7. B.V. Rathish Kumar, S.V.S.S.N.V.G. Krishna Murthy, Vivek Sangwan, Mohit Nigam, Peeyush Chandra, “Non-darcy mixed convection in a fluid saturated square porous enclosure under suction effect: part-I”, Journal of Porous Media, Vol. 13(6), 537-554, 2010.

  8. S.V.S.S.N.V.G. Krishna Murthy, B.V. Rathish Kumar, Vivek Sangwan, Mohit Nigam, Peeyush Chandra, “Non-darcy mixed convection in a fluid saturated square porous enclosure under suction effect: part-II”, Journal of Porous Media, Vol. 13(9), 799-805, 2010.

  9. B.V. Rathish Kumar, Shalini, Mohit Nigam, Vivek Sangwan, S.V.S.S.N.V.G. Krishna. Murthy, “A numerical study of pulsatile power law fluid flow in a porous channel”, Journal of Mechanics in Medicine and Biology, Vol. 9(3), 437-447, 2009.

  10. B.V.R. Kumar, Shalini, S. Belouettar, S.K. Murthy, Vivek Sangwan, Mohit Nigam, “A 3-D finite element computation of free convection from a cubical structure buried in a fluid saturated porous enclosure on ANU-cluster”, Engineering Applications of Computational Fluid Mechanics, 2(3), 319-330, 2008.

  11. 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:

  1. Awarded Senior Research Fellowship in 2007 by CSIR.

  2. Awarded Junior Research Fellowship in 2004 by CSIR.

  3. Won many positions in institutional level sports activities held at IIT Kanpur.

  4. Won second position in 50 KM IIT Kanpur Golden Jubilee (Ultra)Marathon, 2010

  5. Coordinator, IIT Kanpur Golden Jubilee (Ultra)Marathon, 2010.

  6. Coordinator, Tae-Kwan-Do Club, IIT Kanpur, 2009-10.

  7. Parliamentarian, Students’ Senate, IIT Kanpur, 2007-08.

Description of Research Interests

Research interests of Dr. Vivek Sangwan include finite element analysis of singularly perturbed linear and non-linear problems. He interests also include parallel computation of finite element schemes. He has worked on domain-decomposition methods also.