Parallel multistage preconditioners by Hierarchical Interface Decomposition on “T2K Open Super Computer (Todai Combined Cluster)” with Hybrid parallel programming models

Abstract

In this work, parallel preconditioning methods based on ldquoHierarchical Interface Decomposition (HID)rdquo and hybrid parallel programming models were applied to finite-element based simulations of linear elasticity problems in media with heterogeneous material properties. Reverse Cuthill-McKee reordering with cyclic multicoloring (CM-RCM) was applied for parallelism through OpenMP. The developed code has been tested on the ldquoT2K Open Super Computer (Todai Combined Cluster)rdquo using up to 512 cores. Preconditioners based on HID provide a scalable performance and robustness in comparison to conventional localized block Jacobi preconditioners. Performance of Hybrid 4x4 parallel programming model is competitive with that of Flat MPI.