5 papers
Error analysis with exponential decay estimates for a fully discrete approximation of a class of strongly damped wave equations
Krishan Kumar, P. Danumjaya, Anil Kumar +1
This paper deals with the asymptotic behavior and FEM error analysis of a class of strongly damped wave equations using a semidiscrete finite element method in spatial directions c…
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…
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-…
Periodic Vlasov-Stokes' system: Existence and Uniqueness of strong solutions
Harsha Hutridurga, Krishan Kumar, Amiya K. Pani
This paper deals with the Vlasov-Stokes' system in three dimensions with periodic boundary conditions in the spatial variable. We prove the existence of a unique strong solution to…
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…