• Media type: Text; Report; E-Book
  • Title: Challenges for drift-diffusion simulations of semiconductors: A comparative study of different discretization philosophies
  • Contributor: Farrell, Patricio [Author]; Peschka, Dirk [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2018
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2486
  • Keywords: article ; 35Q99 ; 65M06 ; 65M60 ; Finite volume method -- finite element method -- finite difference method -- comparison -- benchmark -- flux discretization -- Scharfetter-Gummel scheme -- semiconductors -- van Roosbroeck system -- device simulation -- nonlinear diffusion -- diffusion enhancement ; 65M08 ; 82D37
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: We analyze and benchmark the error and the convergence order of finite difference, finite-element as well as Voronoi finite-volume discretization schemes for the drift-diffusion equations describing charge transport in bulk semiconductor devices. Three common challenges, that can corrupt the precision of numerical solutions, will be discussed: boundary layers at Ohmic contacts, discontinuties in the doping profile, and corner singularities in L-shaped domains. The influence on the order of convergence is assessed for each computational challenge and the different discretization schemes. Additionally, we provide an analysis of the inner boundary layer asymptotics near Ohmic contacts to support our observations.
  • Access State: Open Access