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Volume 21, Issue 1
Multi-Scale Methods for Inverse Modeling in 1-D MOS Capacitor

Pingwen Zhang, Yi Sun, Haiyan Jiang & Wei Yao

J. Comp. Math., 21 (2003), pp. 85-100.

Published online: 2003-02

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  • Abstract

  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.

  • Keywords

Inverse problem, MOS capacitor model, Finite element method, Adaptive moving mesh, Levenberg-Marquardt method, Multi-scale methods.

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COPYRIGHT: © Global Science Press

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@Article{JCM-21-85, author = {Pingwen Zhang, Yi Sun, Haiyan Jiang and Wei Yao}, title = {Multi-Scale Methods for Inverse Modeling in 1-D MOS Capacitor}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {1}, pages = {85--100}, abstract = {

  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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10285.html} }
TY - JOUR T1 - Multi-Scale Methods for Inverse Modeling in 1-D MOS Capacitor AU - Pingwen Zhang, Yi Sun, Haiyan Jiang & Wei Yao JO - Journal of Computational Mathematics VL - 1 SP - 85 EP - 100 PY - 2003 DA - 2003/02 SN - 21 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/10285.html KW - Inverse problem, MOS capacitor model, Finite element method, Adaptive moving mesh, Levenberg-Marquardt method, Multi-scale methods. AB -

  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.

Pingwen Zhang, Yi Sun, Haiyan Jiang and Wei Yao. (2003). Multi-Scale Methods for Inverse Modeling in 1-D MOS Capacitor. Journal of Computational Mathematics. 21 (1). 85-100. doi:
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