A Positivity-preserving Finite Element Method for Quantum Drift-diffusion Model

DOI10.4208/jcm.2206-m2021-0353MaRDI QIDQ6049034

Weiying Zheng, Pengcong Mu

Publication date: 16 October 2023

Published in: Journal of Computational Mathematics (Search for Journal in Brave)

zbMATH Keywords

Newton methodquantum drift-diffusion modelFinFET devicehigh bias voltagepositivity-preserving finite element method

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical methods based on nonlinear programming (49M37) Nonlinear elliptic equations (35J60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs in connection with semiconductor devices (35Q81)

Cites Work

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• A Positivity-Preserving Numerical Scheme for a Nonlinear Fourth Order Parabolic System
• A monotone finite element scheme for convection-diffusion equations
• Newton Solvers for Drift-Diffusion and Electrokinetic Equations
• Uniform Convergence of an Exponentially Fitted Scheme for the Quantum Drift Diffusion Model
• The Stationary Current-Voltage Characteristics of the Quantum Drift-Diffusion Model
• A REVIEW ON THE QUANTUM DRIFT DIFFUSION MODEL

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