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A new approach to numerical simulation of charge transport in double Gate-MOSFET

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  • Blokhin, Alexander
  • Semisalov, Boris

Abstract

We propose and describe in detail an effective numerical algorithm for finding the stationary solution of charge transport problem in a DG-MOSFET. Hydrodynamical models describing the process of charge transport in semiconductors are sets of nonlinear PDE's with small parameters and specific conditions on the boundary of transistor that essentially complicates the process of numerical simulations. We construct a new algorithm based on the stabilization method and ideas of approximation without saturation and pseudo-spectral methods that enables one to overcome all of the mentioned difficulties. The proposed algorithm enables us to obtain the solution for different geometrical characteristics of DG-MOSFET and boundary conditions (including the non-symmetric cases) with extremely small values of dimensionless doping density and dielectric constant that are used in practice.

Suggested Citation

  • Blokhin, Alexander & Semisalov, Boris, 2019. "A new approach to numerical simulation of charge transport in double Gate-MOSFET," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 206-223.
    • Handle: RePEc:eee:apmaco:v:342:y:2019:i:c:p:206-223
    DOI: 10.1016/j.amc.2018.09.030
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    Cited by:

    1. Semisalov, Boris & Belyaev, Vasily & Bryndin, Luka & Gorynin, Arsenii & Blokhin, Alexander & Golushko, Sergey & Shapeev, Vasily, 2022. "Verified simulation of the stationary polymer fluid flows in the channel with elliptical cross-section," Applied Mathematics and Computation, Elsevier, vol. 430(C).

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