A comparison of formulations and non-linear solvers for computational modelling of semiconductor devices.

IF 3.7 2区工程技术 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Computational Mechanics Pub Date : 2025-01-01 Epub Date: 2024-11-23 DOI:10.1007/s00466-024-02578-x

Sergi Pérez-Escudero, David Codony, Irene Arias, Sonia Fernández-Méndez

引用次数: 0

Abstract

The drift-diffusion formulation, modelling semiconductor materials in terms of carrier densities and electric potential, is considered together with an alternative formulation in terms of dimensionless logarithmic quantities. Stability of both formulations in presence of sharp variations with a Galerkin Finite Element discretisation is assessed in two realistic problems: a p-n junction and an n-MOSFET device. The robustness with respect to the initial guess and the computational efficiency of the Newton-Raphson and Gummel non-linear solvers are also compared.

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半导体器件计算模型的公式和非线性解算器的比较。

根据载流子密度和电势对半导体材料进行建模的漂移-扩散公式与基于无因次对数量的替代公式一起被考虑。在两个实际问题中：p-n结和n-MOSFET器件，用伽辽金有限元离散法评估了两种公式在存在急剧变化时的稳定性。并比较了Newton-Raphson和Gummel非线性解算器对初始猜想的鲁棒性和计算效率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computational Mechanics 物理-力学

CiteScore

7.80

自引率

12.20%

发文量

122

审稿时长

3.4 months

期刊介绍： The journal reports original research of scholarly value in computational engineering and sciences. It focuses on areas that involve and enrich the application of mechanics, mathematics and numerical methods. It covers new methods and computationally-challenging technologies. Areas covered include method development in solid, fluid mechanics and materials simulations with application to biomechanics and mechanics in medicine, multiphysics, fracture mechanics, multiscale mechanics, particle and meshfree methods. Additionally, manuscripts including simulation and method development of synthesis of material systems are encouraged. Manuscripts reporting results obtained with established methods, unless they involve challenging computations, and manuscripts that report computations using commercial software packages are not encouraged.