A Modified Gummel Method for the Basic Semiconductor Device Equations

Christian Ringhofer; Christian Schmeiser

doi:10.1109/43.3155

A Modified Gummel Method for the Basic Semiconductor Device Equations

Christian Ringhofer
, Christian Schmeiser

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

We present a modification of Gummel's method for the iterative solution of the basic semiconductor device equations. The method uses an approximation of an appropriately preconditioned Jacobian matrix and is designed to improve the convergence of Gummel's method for large currents. Performance is tested on a model problem.

Original language	English (US)
Pages (from-to)	251-253
Number of pages	3
Journal	IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Volume	7
Issue number	2
DOIs	https://doi.org/10.1109/43.3155
State	Published - Feb 1988

ASJC Scopus subject areas

Software
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering

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title = "A Modified Gummel Method for the Basic Semiconductor Device Equations",

abstract = "We present a modification of Gummel's method for the iterative solution of the basic semiconductor device equations. The method uses an approximation of an appropriately preconditioned Jacobian matrix and is designed to improve the convergence of Gummel's method for large currents. Performance is tested on a model problem.",

author = "Christian Ringhofer and Christian Schmeiser",

note = "Funding Information: Manuscript received December 18, 1986; revised September 6, 1987. C. Ringhofer{\textquoteright}s work was supported by AFOSR under Grant NM85-0240. C. Schmeiser{\textquoteright}s work was supported by a grant from the Austrian {\textquotedblleft}For-schungs foerderungsfond{\textquotedblright}. The review of this paper was arranged by R. W. Dutton. C. Ringhofer is with the Department of Mathematics, Arizona State University, Tempe, AZ 85287. C. Schmeiser is with the Institut fuer Angewandte Mathematik, Tech-nische Universitaet Wien, A-1040, Vienna, Austria. IEEE Log Number 8717819.",

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T1 - A Modified Gummel Method for the Basic Semiconductor Device Equations

AU - Ringhofer, Christian

AU - Schmeiser, Christian

N1 - Funding Information: Manuscript received December 18, 1986; revised September 6, 1987. C. Ringhofer’s work was supported by AFOSR under Grant NM85-0240. C. Schmeiser’s work was supported by a grant from the Austrian “For-schungs foerderungsfond”. The review of this paper was arranged by R. W. Dutton. C. Ringhofer is with the Department of Mathematics, Arizona State University, Tempe, AZ 85287. C. Schmeiser is with the Institut fuer Angewandte Mathematik, Tech-nische Universitaet Wien, A-1040, Vienna, Austria. IEEE Log Number 8717819.

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N2 - We present a modification of Gummel's method for the iterative solution of the basic semiconductor device equations. The method uses an approximation of an appropriately preconditioned Jacobian matrix and is designed to improve the convergence of Gummel's method for large currents. Performance is tested on a model problem.

AB - We present a modification of Gummel's method for the iterative solution of the basic semiconductor device equations. The method uses an approximation of an appropriately preconditioned Jacobian matrix and is designed to improve the convergence of Gummel's method for large currents. Performance is tested on a model problem.

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JF - IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems

IS - 2

ER -

A Modified Gummel Method for the Basic Semiconductor Device Equations

Abstract

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