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Error analysis with exponential decay estimates for a fully discrete approximation of a class of strongly damped wave equations
Krishan Kumar, P. Danumjaya, Anil Kumar +1
This paper deals with the asymptotic behavior and FEM error analysis of a class of strongly damped wave equations using a semidiscrete finite element method in spatial directions c…
A new regularisation for time-fractional backward heat conduction problem
M. Thamban Nair, P. Danumjaya
It is well-known that the backward heat conduction problem of recovering the temperature at a time from the knowledge of the temperature at a later time, na…
Asymptotic behaviour of the semidiscrete FE approximations to weakly damped wave equations with minimal smoothness on initial data
P. Danumjaya, Anil Kumar, Amiya K. Pani
Exponential decay estimates of a general linear weakly damped wave equation are studied with decay rate lying in a range. Based on the -conforming finite element method to dis…
Discontinuous Galerkin Finite Element Methods for 1D Rosenau Equation
P. Danumjaya, K. Balaje
In this paper, discontinuous Galerkin finite element methods are applied to one dimensional Rosenau equation. Theoretical results including consistency, a priori bounds and optimal…
On the Penalty term for the Mixed Discontinuous Galerkin Finite Element Method for the Biharmonic Equation
K Balaje, P Danumjaya
In this paper, we present a study on the effect of penalty term in the mixed Discontinuous Galerkin Finite Element Method for the biharmonic equation proposed by \cite{gudi2008mixe…