Towards Scalable AMG-based Preconditioners for MHD and Multifluid Plasma Simulations.

摘要: • Smoothed aggregation (Vanek, Mandel, Brezina 1996)• Create graph where vertices are block nonzeros in matrix Ak• Edge between vertices i and j added if block Bk (i, j) contains nonzeros• Uncoupled aggregation; prolongation/restriction; nonsmoothed; Ak-1= Rk Ak Pk• Repartition coarser level matrices (MueLu+ Zoltan2) to reduce communication• Coarsest level: serial direct solve (KLU; T. Davis) on 1 MPI process