An efficient preconditioning technique for numerical simulation of hydrodynamic model semiconductor devices
An efficient preconditioning technique for numerical simulation of hydrodynamic model semiconductor devices
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DOI：
10.1002/jnm.507
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发表时间：
2003-07
期刊：
影响因子：
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通讯作者：
Geng Yang;Shao-hui Wang;Ruchuan Wang
中科院分区：
文献类型：
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作者：
Geng Yang;Shao-hui Wang;Ruchuan Wang
研究了预条件广义最小残差（GMRES）算法在求解半导体器件流体力学模型方程组中的应用。介绍了这样一个模型。采用有限元法P1-isoP 2单元对方程进行离散。提出了一种预处理技术。给出了采用预处理GMRES算法和GMRES算法计算n+-n-n+二极管和0.25 μm栅长Si MESFFET的CPU时间。数值结果表明，预处理技术有效地加快了收敛速度。版权所有© 2003年约翰威利父子有限公司。
We investigate the application of preconditioned generalized minimal residual (GMRES) algorithm to the equations of hydrodynamic model of semiconductor devices. An introduction to such a model is presented. We use finite‐element method P1‐isoP2 element to discretize the equations. A preconditioning technique is proposed. The CPU times are presented for n+‐n‐n+ diodes and 0.25 μm gate length Si MESFETs by using the preconditioned GMRES algorithm and the GMRES algorithm. The numerical results show that the preconditioning technique accelerates effectively the velocity of convergence. Copyright © 2003 John Wiley & Sons, Ltd.