Show simple item record

dc.contributor.authorMiller, J.J.H.
dc.contributor.authorWang, Song
dc.date.accessioned2021-09-22T04:51:26Z
dc.date.available2021-09-22T04:51:26Z
dc.date.issued1994
dc.identifier.citationMiller, J.J.H. and Wang, S. 1994. An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations. ESAIM: Mathematical Modelling and Numerical Analysis - Modelisation Mathematique et Analyse Numerique. 28 (2): pp. 123-140.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/85589
dc.identifier.doi10.1051/m2an/1994280201231
dc.description.abstract

An exponentially fitted box method, known as the Scharfetter-Gummel box method, for the semiconductor device équations in the Slotboom variables is analysed. The method is formulated as a Petrov-Galerkin finite element method with piecewise exponential basis functions on a triangular Delaunay mesh. No restriction is imposed on the angles in the triangulation, The stability of the method is proved and an error estimate for the Slotboom variables in a discrete energy norm is given. When restricted to the two continuity équations the error estimate dépends only on the first-order seminorm of the exact flux and the approximation error ofthe zero order and inhomogeneous terms. This is in contrast to standard error estimâtes which depend on the second order seminorm of the exact solution. The évaluation of the ohmic contact currents is discussed and it is shown that the approximate ohmic contact currents are convergent and conservative.

dc.languageEnglish
dc.publisherEDP SCIENCES S A
dc.subjectScience & Technology
dc.subjectPhysical Sciences
dc.subjectMathematics, Applied
dc.subjectMathematics
dc.subjectNONSYMMETRIC LINEAR-SYSTEMS
dc.subjectDISCRETIZATION ALGORITHM
dc.subjectCONTINUITY EQUATIONS
dc.subjectMODELS
dc.titleAn analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations
dc.typeJournal Article
dcterms.source.volume28
dcterms.source.number2
dcterms.source.startPage123
dcterms.source.endPage140
dcterms.source.issn0764-583X
dcterms.source.titleESAIM: Mathematical Modelling and Numerical Analysis - Modelisation Mathematique et Analyse Numerique
dc.date.updated2021-09-22T04:51:25Z
curtin.departmentSchool of Elec Eng, Comp and Math Sci (EECMS)
curtin.accessStatusOpen access via publisher
curtin.facultyFaculty of Science and Engineering
curtin.contributor.orcidWang, Song [0000-0002-5198-8173]
curtin.contributor.researcheridWang, Song [B-9809-2008]
dcterms.source.eissn1290-3841
curtin.contributor.scopusauthoridWang, Song [7410335978]


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record