MULTI-SCALE METHODS FOR INVERSE MODELING IN 1-D MOS CAPACITOR
查看参考文献15篇
文摘
In this paper, we investigate multi-scale methods for the inverse modeling in 1-D Metal-Oxide-Silicon (MOS) capacitor. First, the mathematical model of the device is given and the numerical simulation for the forward problem of the model is implemented using finite element method with adaptive moving mesh. Then numerical analysis of these parameters in the model for the inverse problem is presented. Some matrix analysis tools are applied to explore the parameters' sensitivities. And third, the parameters are extracted using Levenberg-Marquardt optimization method. The essential difficulty arises from the effect of multi-scale physical difference of the parameters. We explore the relationship between the parameters' sensitivities and the sequence for optimization, which can seriously affect the final inverse modeling results. An optimal sequence can efficiently overcome the multi-scale problem of these parameters. Numerical experiments show the efficiency of the proposed methods.
来源
Journal of Computational Mathematics
,2003,21(1):85-100 【核心库】
关键词
Inverse problem
;
MOS capacitor model
;
Finite element method
;
Adaptive moving mesh
;
Levenberg-Marquardt method
;
Sequence for optimization
;
Multi-scale methods
地址
1.
School of Mathematical Sciences, Peking University, 北京, 100871
2.
China Predictive Technology Laboratory，Digital DNA Lab., China, Motorola (China) Electronics Ltd, 北京, 100022
语种
英文
文献类型
研究性论文
ISSN
0254-9409
学科
数学
基金
美国摩托罗拉公司（Motorola）资助
;
国家973计划
文献收藏号
CSCD:1272651
参考文献 共
15
共1页
1.
N Arora.
MOSFET Models for VLSI Circuit Simulation, Theory and Practice,1993
被引
2
次
2.
J E Dennis Jr.
Numerical Methods for Optimization and Nonlinear Equations,1983
被引
1
次
3.
B El Kareh.
Introduction to VLSI Silicon Devoices, Physics, Technology and Characterization,1986
被引
2
次
4.
G H Golub.
Matrix Computations Third edition,1998
被引
1
次
5.
R Kress.
Numerical Analysis,1998
被引
11
次
6.
Li R.
J. Comput. Phys.,2001,170:562-588
被引
25
次
7.
W Maes. Q.
Computer-Aided Design,1986,5:320-325
被引
1
次
8.
D W Marquardt.
SIAM J. Appl. Math.,1963,11:431-441
被引
429
次
9.
J More.
Numerical Analysis, Lecture Notes in Mathematics,1977,630:105-116
被引
2
次
10.
E H Nicollian.
MOS (Metal Oxide Semiconductor) Physics and Technology,1982
被引
14
次
11.
W H Press.
Numerical Recipes in C: The Art of Scientific Computing,1990
被引
2
次
12.
M Sharma.
IEEE Trans. Computer-Aided Design,1993,12
被引
1
次
13.
Wang S J.
IEEE Trans. Computer-Aided Design,1986,6:170-178
被引
1
次
14.
D E Ward.
IEEE Trans. Computer-Aided Design,1982,1:163-168
被引
1
次
15.
Yang P.
IEEE Trans. Electron Devices,1983,30:1214-1219
被引
3
次
了解气象卫星更多信息，请访问