用混合有限元域分解程序改进了半导体器件瞬态行为的特征分析方法( The modified method of characteristics with mixed finite element domain decomposition procedures for the transient behavior of a semiconductor device )

Y Yuan Practical, Theoretical or Mathematical/ finite element analysis heat conduction semiconductor devices transient analysis/ finite element domain decomposition procedures transient behavior semiconductor device parallel arithmetic electric potential equation finite element method hole concentration heat conduction equation finite element domain decomposition method energy method negative norm estimate optimal order estimates approximation solution/ B2560B Semiconductor device modelling, equivalent circuits, design and testing B1130 General circuit analysis and synthesis methods B0290T Finite element analysis

针对半导体器件的瞬态特性，提出了一种适用于并行算法的混合有限元区域分解特征线修正方法。电势方程用混合有限元法描述，电场方程、空穴浓度方程和热传导方程用改进的特征有限元区域分解法处理。采用了变分法、区域分解、特征线法、能量法、负范数估计和先验估计等技术。对于逼近解中的误差，导出了L2范数下的最优阶估计。这一众所周知的理论问题得到了彻底彻底的解决。2010 Wiley期刊公司Numer Methods偏微分方程28：353-368 201 2

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