Heterogeneous multi-core optimization of MUMPS solver and its application

Jingshan Pan, Lei Xiao, Min Tian, Tao Liu, Li Wang

Abstract: With the development of electromagnetic simulation technology and the increasing demand for simulation, simulation verification based on numerical simulation has received extensive attention from various research fields at home and abroad. Solving the linear sparse matrix equation generated in the electromagnetic simulation process is the biggest bottleneck restricting the running time of the program. Parallel computing, as an effective means to improve the calculation speed and processing capacity of computer systems, can further expand the scale of problem solving and shorten the calculation time. Next, this paper studies the parallel solution method of large-scale sparse linear equations based on the Multifrontal method. We port our program to SW26010-pro and utilizing the powerful heterogeneous computing units of the new-generation Sunway supercomputer. After extensive experiments, the results show that the hotspot functions of the resulting sparse matrix equation gain an 81x speedup compared to the master version, the computation time of overall computational performance gain an 64x speedup.