21 citations · 55 across the 7 of their papers we have counts for
7 papers
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…
A multiscale hybrid Maxwellian-Monte-Carlo Coulomb collision algorithm for particle simulations
G. Chen, A. J. Stanier, L. Chacón +2
Coulomb collisions in particle simulations for weakly coupled plasmas are modeled by the Landau-Fokker-Planck equation, which is typically solved by Monte-Carlo (MC) methods. One o…
A Parallel Multi-Domain Solution Methodology Applied to Nonlinear Thermal Transport Problems in Nuclear Fuel Pins
Bobby Philip, Mark A. Berrill, Srikanth Allu +4
This paper describes an efficient and nonlinearly consistent parallel solution methodology for solving coupled nonlinear thermal transport problems that occur in nuclear reactor ap…
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…
Block-Relaxation Methods for 3D Constant-Coefficient Stencils on GPUs and Multicore CPUs
Manuel Birke, Bobby Philip, Zhen Wang +1
Block iterative methods are extremely important as smoothers for multigrid methods, as preconditioners for Krylov methods, and as solvers for diagonally dominant linear systems. De…