Mapping Large Scale Finite Element Computing on to Wafer-Scale Engines

Abstract

The finite element method has wide applications and often presents a computing challenge due to huge problem sizes and slow convergence rate. A leading-edge computing acceleration approach is to leverage wafer-scale engine, which contains more than 800K processing elements. The effectiveness of this approach heavily depends on how to map a finite element computing task onto such enormous hardware space. A mapping method is introduced to partition an object space into computing kernels, which are further placed onto processing elements. This method achieves the best overall result in terms of computing accuracy and communication cost among all the ISPD 2021 contest participants.