Chinese Journal of Computational Physics ›› 2021, Vol. 38 ›› Issue (2): 131-145.DOI: 10.19596/j.cnki.1001-246x.8231

• Research Reports • Previous Articles     Next Articles

Algorithms in Linear Solver for Large-scale Time-harmonic Maxwell's Equations in SiP Applications: State-of-the-art and Challenges

HU Shaoliang1,2, XU Xiaowen1,2, ZHENG Yuteng3, ZHAO Zhenguo1,2, WANG Weijie1,2, XU Ran1,2, AN Hengbin1,2, MO Zeyao1,2   

  1. 1. CAEP Software Center for High Performance Numerical Simulation, Beijing 100088, China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
    3. CAEP Institute of Computer Application Technology, Mianyang, Sichuan 610094, China
  • Received:2020-05-08 Revised:2020-07-19 Published:2021-09-29

Abstract: System in package (SiP) is mainstream technology in the design of electronics system. Numerical simulation plays an important role in SiP applications. However, due to the specific complexity of SiP applications, existing algorithms for linear systems arising from time-harmonic Maxwell's equations are faced with great challenges, which become a bottleneck restricting efficiency of large-scale numerical simulations. In this paper, we review algorithms for time-harmonic Maxwell's equations in SiP applications. Based on capability assessment of existing algorithms for realistic SiP models, we propose a preconditioning strategy, and show its feasibility and efficiency. Furthermore, we analyze impact of such applications on performance behavior of current algorithms and the challenges we faced with.

Key words: system in package(SiP), numerical simulation, time-harmonic Maxwell's equations, linear solver, preconditioning algorithm

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