4 citations · 8 across the 9 of their papers we have counts for
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Preconditioners for Saddle Point Problems on Truncated Domains in Phase Separation Modelling
Pawan Kumar
The discretization of Cahn-Hilliard equation with obstacle potential leads to a block 2 by 2 non-linear system, where the p1, 1q block has a non-linear and non-smooth term. Recentl…
An Optimal Block Diagonal Preconditioner for Heterogeneous Saddle Point Problems in Phase Separation
Pawan Kumar
The phase separation processes are typically modeled by Cahn-Hilliard equations. This equation was originally introduced to model phase separation in binary alloys, where phase sta…
Analysis of hierarchical SSOR for three dimensional isotropic model problem
Pawan Kumar
In this paper, we study a hierarchical SSOR (HSSOR) method which could be used as a standalone method or as a smoother for a two-grid method. It is found that the method leads to f…
On random coarsening and its applications
Pawan Kumar
In this paper, we use the Poincare separation theorem for estimating the eigenvalues of the fine grid. We propose a randomized version of the algorithm where several different coar…
Aggregation based on graph matching and inexact coarse grid solve for algebraic multigrid
Pawan Kumar
A graph based matching is used to construct aggregation for algebraic multigrid. Effects of inexact coarse grid solve is analyzed numerically for a highly discontinuous convection…
Purely algebraic domain decomposition methods for the incompressible Navier-Stokes equations
Pawan Kumar
In the context of non overlapping domain decomposition methods, several algebraic approximations of the Dirichlet-to-Neumann (DtN) map are proposed in [F. X. Roux, et. al. Algebrai…