×
Marini, L. D.; Savini, A.

Accurate computation of electric field in reverse-biased semiconductor devices: A mixed finite-element approach. (English) Zbl 0619.65120

COMPEL 3, 123-135 (1984).
A mixed variational formulation of the free boundary problem involved in the analysis of reverse-biased semiconductor devices is put forward. This can be profitably used in the investigation of the field distribution near the junction and at the surface of devices. A peculiar feature of the new formulation is that the electric field is assumed as a variable in the solution, together with the potential, thus enabling the electric field to be determined directly and accurately. The numerical algorithm associated with the method turns out to be quite simple and can be easily and readily implemented even on a desktop computer.

Cited in 2 Documents

MSC:

65Z05 Applications to the sciences
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
78A35 Motion of charged particles
35Q99 Partial differential equations of mathematical physics and other areas of application

Keywords:

finite element method; free boundary problem; reverse-biased semiconductor devices
PDFBibTeX XMLCite
\textit{L. D. Marini} and \textit{A. Savini}, COMPEL 3, 123--135 (1984; Zbl 0619.65120)
Full Text: DOI

References:

[1] Adams R.A., Sobolev Spaces (1975)
[2] Baiocchi C., Variational and Quasi-variational Inequalities: Applications to Free-boundary Problems (1983)
[3] Brezis H.R., Bull. Math. France 96 pp 153– (1968) · Zbl 0165.45601 · doi:10.24033/bsmf.1663
[4] DOI: 10.1007/BF01404345 · Zbl 0369.65030 · doi:10.1007/BF01404345
[5] DOI: 10.1007/BF01396010 · Zbl 0427.65077 · doi:10.1007/BF01396010
[6] DOI: 10.1109/T-ED.1973.17654 · doi:10.1109/T-ED.1973.17654
[7] DOI: 10.1109/T-ED.1964.15335 · doi:10.1109/T-ED.1964.15335
[8] Glowinski R., Numerical Analysis of Variational Inequalities. North Holland (1981) · Zbl 0463.65046
[9] DOI: 10.1137/0712069 · doi:10.1137/0712069
[10] Kinderleherer D., An Introduction to Variational Inequalities and Their Applications (1980)
[11] Koutchmy O., Rapport INRIA (1977)
[12] DOI: 10.1007/978-3-642-65161-8 · doi:10.1007/978-3-642-65161-8
[13] DOI: 10.1007/BFb0064470 · doi:10.1007/BFb0064470
[14] DOI: 10.1049/ip-i-1.1982.0025 · doi:10.1049/ip-i-1.1982.0025
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.