Performance Rating via the Feast Indices

摘要

Based on algorithmic and computational studies, we present the F_EAST INDICES which are new indicators for the realistic performance of many recent processors, as typically used in 'low cost' PC's/workstations up to (parallel) supercomprters. Since these tests are very specifically designed for the evaluation of modern numerical simulation techniques, with a special emphasis on 'large scale' FEM comprtations and iterative solvers of Krylov-space/multigrid type, they examine new aspects in comparison to the standard benchmark tests(LINPACK, SPEC FP95, NAS, STREAM) and allow new qualitative and particularly quantitative ratings of the various hardware platforms. We explore the computational efficiency of certain Linear Algebra components, hereby applying the typical sparse ap-proaches and additionally the sparse banded style from F_EAST which enables usto exploit a significant percentage of the available peak performance. The tests include'simple' matrix-vector applications as well ascomplete multigrid solvers with very robust smoothers which are necessary for the efficient treatment of highiy adapted meshes.