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, DOI: 10.1002/mma.9973.

Saumya Bajpai, Deepjyoti Goswami and Kallol Ray, Discontinuous Galerkin Two-Grid Method for the Transient Navier–Stokes Equations, Computational Methods in Applied Mathematics, (2023). DOI: https://doi.org/10.1515/cmam-2023-0035.

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 and 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.

Saumya Bajpai and Ambit K. Pany, Finite element Galerkin method for 2D Sobolev equations with Burgers’ type nonlinearity, Applied Mathematics and Computation, 387, (2020), 125113.

Saumya Bajpai and Ambit K. 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 K. 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.

Saumya Bajpai, Neela Nataraj and Amiya Kumar Pani, On a second order fully discrete two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model, Computers and Mathematics with Applications, 68 (2014), 2277-2291.

Saumya Bajpai, Neela Nataraj and Amiya Kumar Pani, On a two-grid finite element scheme for the equations of motion arising in Kelvin-Voigt model, Advances in Computational Mathematics, 40 (2014), 1043-1071.

Saumya Bajpai, Neela Nataraj and Amiya Kumar Pani, On fully discrete finite element schemes for equations of motion of Kelvin-Voigt fluids, International Journal of Numerical Analysis and Modeling, 10 (2013), 481-507.

Saumya Bajpai, Neela Nataraj, Amiya Kumar Pani, Pedro Damazio and Jin Yun Yuan, Semidiscrete Galerkin method for equations of motion arising in Kelvin-Voigt model of viscoelastic fluid flow, Numerical Methods for Partial Differential Equations, 29 (2013), 857-883.