Research Area : Finite Element Methods, Kelvin-Voigt Equations, Navier-Stokes Fluid Motion Equations, Two-Grid Methods, Discontinuous Galerkin Methods, Adaptivity, Optimal Control, Stabilization.
Bajpai S. and Pani A. K., On a three level two-grid finite element method for the 2D-transient Navier-Stokes equations (preprint).
Bajpai S. and Nataraj N., On a second order fully discrete two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model, DOI: 10.1016/j.camwa.2014.07.011.
Bajpai S., Nataraj N. and Pani A. K., On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model, Advances in Computational Mathematics, DOI 10.1007/s10444-013-9340-1.
Bajpai, S., Nataraj, N. and Pani, A. K., On fully discrete finite element schemes for equations of motion of Kelvin-Voigt fluids, Int. J. Numer. Anal. Model. Vol. 10 (2013), 481-507.
Bajpai, S., Nataraj, N., Pani, A. K., Damazio, P. and Yuan, J. Y, Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow, Numer. Meth. Part. D. E. Vol. 29 (2013), 857-883.
Qualified joint CSIR-UGC Junior Research Fellowship (JRF) and Lectureship- National Eligibility Test (NET) which was held on June 18, 2006 in the subject Mathematical Sciences.
Awarded Prof. Prabhulal Bhatnagar memorial prize for the year 2012-2013 from IIT Bombay, being the most outstanding student during Ph.D. in Mathematics.
Worked on Indo-Brazil DST-CNPq project during November 20 - December 20, 2010 in the Department of Mathematics, UFPR, Curitiba, Brazil.
Senior Research Fellowship from University Grants Commission (UGC), Govt. of India, for Ph.D. at IIT Bombay, January 2010 - December 2012.
Junior Research Fellowship from University Grants Commission (UGC), Govt. of India, for Ph.D. at IIT Bombay, January 2008 - December 2009.
Selected for \The European Aeronautic Defence and Space Company N.V. (EADS)\" fellowship to work on a Indo-French project."
Qualified GATE Examination in the year 2007 in the subject Mathematical Sciences.
Received NBHM postdoctoral fellowship at TIFR (CAM), Bangalore from March 2013 - August 2014.
Significant Research Contributions
Invited Talks - Have given 62 invited and plenary talks in international and workshops etc