21 citations · 42 across the 17 of their papers we have counts for
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Parameter-robust well-posedness and discretisation for coupled Darcy--Forchheimer and advection-diffusion-reaction equations
Rishi Das, Harsha Hutridurga, Amiya K. Pani +1
We adapt the recent theory for unique solvability of perturbed saddle-point problems in Banach spaces to the case of parameter-independent stability bounds. This also constitutes a…
Robust stability and preconditioning of Darcy-Forchheimer equations
Rishi Das, Harsha Hutridurga, Amiya K. Pani +1
We derive parameter-robust quasi-optimal error estimates for mixed finite element methods for the nonlinear Darcy--Forchheimer equations with mixed boundary conditions. Using the f…
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…
Discontinuous Galerkin methods for the Vlasov-Stokes' system
Harsha Hutridurga, Krishan Kumar, Amiya K. Pani
This paper develops and analyses semi-discrete numerical method for two dimensional Vlasov-Stokes' system with periodic boundary condition. The method is based on coupling of semi-…
Discontinuous Galerkin Methods with Generalized Numerical Fluxes for the Vlasov-Viscous Burgers' System
Harsha Hutridurga, Krishan Kumar, Amiya K. Pani
In this paper, semi-discrete numerical scheme for the approximation of the periodic Vlasov-viscous Burgers' system is developed and analyzed. The scheme is based on the coupling of…