10 citations · 31 across the 36 of their papers we have counts for
6 papers · 2 filters
Convergence of an adaptive mixed finite element method for general second order linear elliptic problems
Asha K. Dond, Neela Nataraj, Amiya K. Pani
The convergence of an adaptive mixed finite element method for general second order linear elliptic problems defined on simply connected bounded polygonal domains is analyzed in th…
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…
A Priori -estimates for Discontinuous Galerkin Approximations to Linear Hyperbolic Integro-Differential Equations
Samir Karaa, Amiya K. Pani, Sangita Yadav
An -discontinuous Galerkin (DG) method is applied to a class of second order linear hyperbolic integro-differential equations. Based on the analysis of an expanded mixed type R…
A priori error estimates for finite volume element approximations to second order linear hyperbolic integro-differential equations
Samir Karaa, Amiya K. Pani
In this paper, both semidiscrete and completely discrete finite volume element methods (FVEMs) are analyzed for approximating solutions of a class of linear hyperbolic integro- dif…
Optimal error estimates of mixed FEMs for second order hyperbolic integro-differential equations with minimal smoothness on initial data
Samir Karaa, Amiya K. Pani
In this article, mixed finite element methods are discussed for a class of hyperbolic integro-differential equations (HIDEs). Based on a modification of the nonstandard energy form…
Error analysis of nonconforming and mixed FEMs for second-order linear non-selfadjoint and indefinite elliptic problems
Carsten Carstensen, Asha K. Dond, Neela Nataraj +1
The state-of-the art proof of a global inf-sup condition on mixed finite element schemes does not allow for an analysis of truly indefinite, second-order linear elliptic PDEs. This…