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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 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(\…
A priori error estimates of fully discrete finite element Galerkin method for Kelvin-Voigt viscoelastic fluid flow model
Saumya Bajpai, Ambit K. Pany
In this article, a finite element Galerkin method is applied to the Kelvin-Voigt viscoelastic fluid model, when its forcing function is in $L^{\infty}(\bL^2)$. Some new {\it a prio…
Optimal Error Estimates for Semidiscrete Galerkin approximations to the Equations of Motion Described by Kelvin-Voigt Viscoelastic Fluid Flow Model
Ambit K. Pany, Saumya Bajpai, Amiya K. Pani
In this paper, the finite element Galerkin method is applied to the equations of motion arising in the Kelvin-Voigt viscoelastic fluid flow model, when the forcing function is in $…
On a three level two-grid finite element method for the 2D-transient Navier-Stokes equations
Saumya Bajpai, Amiya K. Pani
In this paper, an error analysis of a three steps two level Galekin finite element method for the two dimensional transient Navier-Stokes equations is discussed. First of all, the…