4 papers
Negative norm estimates and superconvergence results in Galerkin method for strongly nonlinear parabolic problems
Ambit Kumar Pany, Morrakot Khebchareon, Amiya K. Pani
The conforming finite element Galerkin method is applied to discretise in the spatial direction for a class of strongly nonlinear parabolic problems. Using elliptic projection of t…
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…
A New Modified Newton Method use of Haar wavelet for solving Nonlinear equations
Bijaya Mishra, Ambit Kumar Pany, Salila Dutta
In this paper, we present a new modified Newton method a use of Haar wavelet formula for solving non-linear equations. This new method do not require the use of the second-order de…
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 $…