4 papers · 1 filter
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…