10 citations · 31 across the 36 of their papers we have counts for
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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 Kirchhoff's Model of Parabolic Type
Sudeep Kundu, Amiya K. Pani, Morrakot Khebchareon
In this paper, existence of a strong global solution for all finite time is derived for the Kirchhoff's model of parabolic type. Based on exponential weight function, some new regu…
Finite volume element method for two-dimensional fractional subdiffusion problems
Samir Karaa, Kassem Mustapha, Amiya K. Pani
In this paper, a semi-discrete spatial finite volume (FV) method is proposed and analyzed for approximating solutions of anomalous subdiffusion equations involving a temporal fract…
On an a posteriori error analysis of mixed finite element Galerkin approximations to a second order wave equation
Samir Karaa, Amiya K. Pani
In this article, a posteriori error analysis is developed for mixed finite element Galerkin approximations to a second order linear hyperbolic equation. Based on mixed elliptic rec…