21 citations · 55 across the 7 of their papers we have counts for
4 papers · 1 filter
Overlapping Schwarz methods are not anisotropy-robust multigrid smoothers
Oliver A. Krzysik, Ben S. Southworth, Bobby Philip
We analyze overlapping multiplicative Schwarz methods as smoothers in the geometric multigrid solution of two-dimensional anisotropic diffusion problems. For diffusion equations, i…
Geometric multigrid for an implicit-time immersed boundary method
Robert D. Guy, Bobby Philip, Boyce E. Griffith
The immersed boundary (IB) method is an approach to fluid-structure interaction that uses Lagrangian variables to describe the structure and Eulerian variables to describe the flui…
Dynamic Implicit 3D Adaptive Mesh Refinement for Non-Equilibrium Radiation Diffusion
Bobby Philip, Zhen Wang, Mark Berrill +2
The time dependent non-equilibrium radiation diffusion equations are important for solving the transport of energy through radiation in optically thick regimes and find application…
Recursive Schur Decomposition
Rahul S. Sampath, Bobby Philip, Srikanth Allu +1
In this article, we present a parallel recursive algorithm based on multi-level domain decomposition that can be used as a precondtioner to a Krylov subspace method to solve sparse…