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math.NA2021
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…
math.NA2015
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…