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分层网格上半奇异摄动问题的有限元逼近 被引量:1
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作者 朱国庆 李清善 陈绍春 《广西师范大学学报(自然科学版)》 CAS 北大核心 2007年第3期48-51,共4页
考虑半奇异摄动反应扩散问题的双线性有限元逼近。首先给出关于真解的一些新的正则性估计。在先验分层网格剖分基础上,在ε-加权H1-模意义下得到了拟最优阶一致收敛的误差估计。
关键词 半奇异摄动方程 分层网格 一致收敛 误差估计
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Analysis of the One Dimensional Steady State Semiconductor Multijunction Device Model with the Avalanche Effect *
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作者 边永新 王元明 《Journal of Southeast University(English Edition)》 EI CAS 1998年第1期127-133,共7页
In this paper we consider the stationary multijunction device model with the avalanche effect. Using the singular perturbation method, an approximation to the current voltage curve is obtained. The cause and the condi... In this paper we consider the stationary multijunction device model with the avalanche effect. Using the singular perturbation method, an approximation to the current voltage curve is obtained. The cause and the condition for the occurrence of saturation current is analyzed. Especially, it is pointed that the avalanche effect is responsible for the blowing up of the saturation current. We prove the existence of multiple steady state solution when the ionization rate is relatively small. Finally, some numerical examples are presented to show the reliability of the theoretical results. 展开更多
关键词 singular perturbations SEMICONDUCTOR nonlinear differential equation SIMULATION
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