5 citations · 7 across the 17 of their papers we have counts for
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Error Estimates for Discontinuous Galerkin Approximations to the Vlasov-Unsteady Stokes System
Harsha Hutridurga, Krishan Kumar, Amiya K. Pani
In the first part of this paper, uniqueness of strong solution is established for the Vlasov-unsteady Stokes problem in 3D. The second part deals with a semi discrete scheme, which…
On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations
Bikram Bir, Harsha Hutridurga, Amiya K. Pani
This paper deals with a fully discrete numerical scheme for the incompressible Chemotaxis(Keller-Segel)-Navier-Stokes system. Based on a discontinuous Galerkin finite element schem…
On Two Conservative HDG Schemes for Nonlinear Klein-Gordon Equation
Shipra Gupta, Amiya Kumar Pani, Sangita Yadav
In this article, a hybridizable discontinuous Galerkin (HDG) method is proposed and analyzed for the Klein-Gordon equation with local Lipschitz-type non-linearity. {\it A priori} e…
On a Non-Uniform -Robust IMEX-L1 Mixed FEM for Time-Fractional PIDEs
Lok Pati Tripathi, Aditi Tomar, Amiya K. Pani
A non-uniform implicit-explicit L1 mixed finite element method (IMEX-L1-MFEM) is investigated for a class of time-fractional partial integro-differential equations (PIDEs) with spa…