Numerical analysis for systems with memory arising from semiconductor simulations

W. Allegretto, Yanping Lin, A. Zhou

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

Simulation of Amorphous Silicon microelectronic devices gives rise to a system of coupled non-linear partial differential equations with memory terms. In this paper we discuss semidiscrete finite element approximation schemes employed for the numerical discretization of such systems. Existence, uniqueness and error analysis are presented.
Original languageEnglish
Pages (from-to)101-119
Number of pages19
JournalApplied Mathematics and Computation
Volume105
Issue number2-3
DOIs
Publication statusPublished - 1 Jan 1999
Externally publishedYes

Keywords

  • Amorphous silicon
  • Drift-diffusion
  • Error estimates
  • Finite element

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

Cite this