6 papers
Coarse Solvers for Exascale Solution of Poisson Problems
Thilina Ratnayaka, Paul Fischer, Luke Olson
We present a two-level Schwarz method as an alternative to Algebraic Multigrid method(AMG) used as the last level (coarse) solver of the p-multigrid pMG preconditioner for pressure…
Unstructured to structured: geometric multigrid on complex geometries via domain remapping
Nicolas Nytko, Scott MacLachlan, J. David Moulton +3
For domains that are easily represented by structured meshes, robust geometric multigrid solvers can quickly provide the numerical solution to many discretized elliptic PDEs. Howev…
Teaching An Old Dog New Tricks: Porting Legacy Code to Heterogeneous Compute Architectures With Automated Code Translation
Nicolas Nytko, Andrew Reisner, J. David Moulton +2
Legacy codes are in ubiquitous use in scientific simulations; they are well-tested and there is significant time investment in their use. However, one challenge is the adoption of…
Monolithic Multigrid Preconditioners for High-Order Discretizations of Stokes Equations
Alexey Voronin, Graham Harper, Scott MacLachlan +2
This work introduces and assesses the efficiency of a monolithic MG multigrid framework designed for high-order discretizations of stationary Stokes systems using Taylor-Hood a…
Exploiting mesh structure to improve multigrid performance for saddle point problems
Lukas Spies, Luke Olson, Scott MacLachlan
In recent years, solvers for finite-element discretizations of linear or linearized saddle-point problems, like the Stokes and Oseen equations, have become well established. There…
Scaling Structured Multigrid to 500K+ Cores through Coarse-Grid Redistribution
Andrew Reisner, Luke N. Olson, J. David Moulton
The efficient solution of sparse, linear systems resulting from the discretization of partial differential equations is crucial to the performance of many physics-based simulations…