Numerical analysis for systems with memory arising from semiconductor simulations

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, uniq...

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Bibliographic Details
Published in:Applied mathematics and computation 1999-11, Vol.105 (2), p.101-119
Main Authors: Allegretto, W., Lin, Y., Zhou, A.
Format: Article
Language:English
Subjects:
Amorphous silicon
Drift-diffusion
Error estimates
Exact sciences and technology
Finite element
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations
Partial differential equations, initial value problems and time-dependant initial-boundary value problems
Sciences and techniques of general use
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Summary: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.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(98)10081-4