Dr. Saumya Bajpai

Designation : Associate Professor

Broad Area of Expertise : Mathematics

Email : saumya{at}iitgoa.ac.in

Contact Number : 0832-2490-122

Address : F-19, Academic Block B

Personal Page

Educational Qualifications

  1. M.Sc. Mathematics, Indian Institute of Technology (IIT) Madras, 2006.
  2. Ph.D. Mathematics, Indian Institute of Technology (IIT) Bombay, 2013.

Areas of Research

Numerical Analysis, Partial differential equation, Finite Element Methods 


Courses Taught


Professional Appointments

  1. Research Associate Mathematics, IIT Bombay 2012 - 2013.
  2. NBHM Postdoctoral Fellow, Tata Institute of Fundamental Research, Center for Applicable Mathematics, Bangalore, 2013 - 2014.
  3. Assistant Professor, IITRAM Ahmedabad, 2014 - 2017.
  4. Assistant Professor, IIT Goa, 2018-2024.

Recent Publications

Saumya Bajpai, Deepjyoti Goswami and Kallol Ray, A discontinuous Galerkin finite element method for the Oldroyd model of order one, Mathematical Methods in the Applied Sciences, (2024).

Saumya Bajpai and Debendra Kumar Swain, A priori error estimates of a three-step two-level finite element Galerkin method for a 2D-Boussinesq system of equations, Computers and Mathematics with Applications, 146, (2023), 137-164. 

Saumya Bajpai, Deepjyoti Goswami and Kallol Ray, A Priori Error Estimates of a Discontinuous Galerkin Method for the Navier-Stokes Equations, Numerical Algorithms, 94, (2023), 937–1002. 

Saumya Bajpai, Deepjyoti Goswami, Kallol Ray, Fully discrete finite element error analysis of a discontinuous Galerkin method for the Kelvin-Voigt viscoelastic fluid model, Computers and Mathematics with Applications, 130 (2023), 69-97.

Ambit K. Pany, Saumya Bajpai and Soumyarani Mishra, Finite element Galerkin method for 2D Sobolev equations with Burgers type nonlinearity, Applied Mathematics and Computation, 387 (2020) .

Saumya Bajpai and Ambit Kumar Pany, A priori error estimates of fully discrete finite element Galerkin method for Kelvin-Voigt viscoelastic fluid flow model, Computers and Mathematics with Applications, 78 (2019), 3872-3895.

Saumya Bajpai and Amiya Kumar Pani, On a three level two-grid finite element method for the 2D- transient Navier-Stokes equations, Journal of Numerical Mathematics, 25 (2017), 199-228. 

Sudeep Kundu, Amiya Kumar Pani and Saumya Bajpai, Asymptotic behavior and Optimal Error Estimate of Kelvin-Voigt Viscoelastic Fluid Flow Model, Numerical Algorithms, 75 (2017), 619-653.

Ambit Kumar Pany, Saumya Bajpai and Amiya Kumar Pani, Optimal Error Estimates for the Semidiscrete Galerkin approximations to the Equations of Motion Described by Kelvin-Voigt Viscoelastic Fluid Flow Model, Journal of Computational and Applied Mathematics, 302 (2016), 234-257.

 


Recognition and Awards

  1. Travel Grant by the organizer as an invited speaker in “MAFELAP 2019, Conference on the Mathematics of Finite Elements and Applications” during June 18-21, 2019 at Brunel University, London.
  2. ICM2018 - Open Arms travel Grants to attend ICM 2018 during August 1 - August 9, 2018, Rio

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