A novel parallel adaptive Monte Carlo method for nonlinear Poisson equation in semiconductor devices

Yi-Ming Li*, Hsiao Mei Lu, Ting Wei Tang, S. M. Sze

*此作品的通信作者

研究成果: Conference article同行評審

30 引文 斯高帕斯(Scopus)

摘要

We present a parallel adaptive Monte Carlo (MC) algorithm for the numerical solution of the nonlinear Poisson equation in semiconductor devices. Based on a fixed random walk MC method, 1-irregular unstructured mesh technique, monotone iterative method, a posterior error estimation method, and dynamic domain decomposition algorithm, this approach is developed and successfully implemented on a 16-processors (16-PCs) Linux-cluster with message-passing interface (MPI) library. To solve the nonlinear problem with MC method, monotone iterative method is applied in each adaptive loop to obtain the final convergent solution. This approach fully exploits the inherent parallelism of the monotone iterative as well as MC methods. Numerical results for p-n diode and MOSFET devices are demonstrated to show the robustness of the method. Furthermore, achieved parallel speedup and related parallel performances are also reported in this work.

原文English
頁(從 - 到)413-420
頁數8
期刊Mathematics and Computers in Simulation
62
發行號3-6
DOIs
出版狀態Published - 3 3月 2003
事件MCM 2001 - Salzburg, Austria
持續時間: 10 9月 200114 9月 2001

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