14 citations · 36 across the 9 of their papers we have counts for
9 papers
A Priori Error Estimates of a Discontinuous Galerkin Finite Element Method for the Kelvin-Voigt Viscoelastic Fluid Motion Equations
Saumya Bajpai, Deepjyoti Goswami, Kallol Ray
This paper applies a discontinuous Galerkin finite element method to the Kelvin-Voigt viscoelastic fluid motion equations when the forcing function is in -spac…
Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data
Bikram Bir, Deepjyoti Goswami, Amiya K. Pani
In this paper, both semidiscrete and fully discrete finite element methods are analyzed for the penalized two-dimensional unsteady Navier-Stokes equations with nonsmooth initial da…
Optimal Error Estimates of a Discontinuous Galerkin Method for the Navier-Stokes Equations
Saumya Bajpai, Deepjyoti Goswami, Kallol Ray
In this paper, we apply discontinuous finite element Galerkin method to the time-dependent incompressible Navier-Stokes model. We derive optimal error estimates in $L^\infty(\…
Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data
Bikram Bir, Deepjyoti Goswami, Amiya K. Pani
In this paper, a backward Euler method combined with finite element discretization in spatial direction is discussed for the equations of motion arising in the Oldroyd model o…
A study of Nonlinear Galerkin Finite Element for time-dependent incompressible Navier-Stokes equation
Deepjyoti Goswami
In this article, we discuss a couple of nonlinear Galerkin methods (NLGM) in finite element set up for time dependent incompressible Navier-Sotkes equations. We show the crucial ro…
A Two-level Finite Element Method for Viscoelastic Fluid Flow: Non-smooth Initial Data
Deepjyoti Goswami
In this article, we analyze a two-level finite element method for the equations of motion arising in the flow of 2D Oldroyd model with non-smooth initial data. It involves solving…
A two-level finite element method for time-dependent incompressible Navier-Stokes equations with non-smooth initial data
Deepjyoti Goswami, Pedro D. Damázio
In this article, we analyze a two-level finite element method for the two dimensional time-dependent incompressible Navier-Stokes equations with non-smooth initial data. It involve…
Nonlinear Galerkin Finite Element for Viscoelastic Fluid Flow: Optimal Error Estimate
Deepjyoti Goswami
In this article, we discuss a couple of nonlinear Galerkin method (NLG) in finite element set up for viscoelastic fluid flow, mainly equations of motion arising in the flow of 2D O…
Backward Euler method for the Equations of Motion Arising in Oldroyd Fluids of Order One with Nonsmooth Initial Data
Deepjyoti Goswami, Amiya K. Pani
In this paper, a backward Euler method is discussed for the equations of motion arising in the 2D Oldroyd model of viscoelastic fluids of order one with the forcing term independen…