10 citations · 20 across the 5 of their papers we have counts for
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Discontinuous Galerkin IMEX Pressure Correction Scheme for the Poisson-Nernst-Planck-Navier-Stokes Equations
Bikram Bir, Amiya K. Pani
Based on a discontinuous Galerkin method in the spatial directions and an improved implicit-explicit pressure-correction scheme in the temporal direction, this paper discusses a fu…
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…
Optimal error estimates of the penalty finite element method for the unsteady Navier-Stokes equations with nonsmooth initial data
Bikram Bir, Deepjyoti Goswami, Amiya K. Pani
In this paper, both semidiscrete and fully discrete finite element methods are analyzed for the penalized two-dimensional unsteady Navier-Stokes equations with nonsmooth initial da…
Backward Euler method for the equations of motion arising in Oldroyd model of order one with nonsmooth initial data
Bikram Bir, Deepjyoti Goswami, Amiya K. Pani
In this paper, a backward Euler method combined with finite element discretization in spatial direction is discussed for the equations of motion arising in the Oldroyd model o…
Backward Euler method for the Equations of Motion Arising in Oldroyd Fluids of Order One with Nonsmooth Initial Data
Deepjyoti Goswami, Amiya K. Pani
In this paper, a backward Euler method is discussed for the equations of motion arising in the 2D Oldroyd model of viscoelastic fluids of order one with the forcing term independen…