Numerical solution of second-order elliptic equations on plane domains

Lutz Angermann

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1991)

  • Volume: 25, Issue: 2, page 169-191
  • ISSN: 0764-583X

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Angermann, Lutz. "Numerical solution of second-order elliptic equations on plane domains." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 25.2 (1991): 169-191. <http://eudml.org/doc/193624>.

@article{Angermann1991,
author = {Angermann, Lutz},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {linear convective diffusion equations; discrete conservation law; discrete maximum principle; finite element},
language = {eng},
number = {2},
pages = {169-191},
publisher = {Dunod},
title = {Numerical solution of second-order elliptic equations on plane domains},
url = {http://eudml.org/doc/193624},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Angermann, Lutz
TI - Numerical solution of second-order elliptic equations on plane domains
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 2
SP - 169
EP - 191
LA - eng
KW - linear convective diffusion equations; discrete conservation law; discrete maximum principle; finite element
UR - http://eudml.org/doc/193624
ER -

References

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  8. [8] T. IKEDA, Maximum pnnciple in finite element models for convection-diffusion phenomena. North-Holland Publishing Company, Amsterdam - New York -Oxford/Kmokumya Comp. Ltd., Tokyo 1983. Zbl0508.65049MR683102
  9. [9] B. J. MCCARTIN, J. R. CASPAR, R. E. LA BARRE, G. A. PETERSON, R. H. HOBBS, Steady state numerical analysis of single carrier two dimensional, semiconductor devices using the control area approximation. Proceedings of the NASECODE III conf, 185-190 Boole Press, Dublin 1983. 
  10. [10] J. J. H. MILLER, On the discretization of the semiconductor device equations in the two-dimensional case. Institute for Numerical and Computational Analysis, Preprint no. 1, Dublin 1986. Zbl0663.65128
  11. [11] M. S. MOCK, On equations describing steady-state carrier distributions in a semiconductor device. Commun. Pure Appl. Math. 25 (1972), no. 6, 781-792. MR323233
  12. [12] M. S. MOCK, Analysis of a discretization algorithm for stationary continuity equations in semiconductor device models, I-III. COMPEL 2 (1983), 117-139, 3 (1984), 137-149, 3 (1984), 187-199 Zbl0619.65117MR782025
  13. [13] U. RISCH, Die hybride upwind-FEM - ein einfaches Verfahren zur Behandlung konvektionsdominanter Randwertprobleme. Wiss Zeitschr. der TU Magdeburg 31 (1987), H 5, 88-94. Zbl0645.76095MR951107
  14. [14] H.-G. ROOS, Beziehungen zwischen Diskretisierungsverfahren fur Konvektions-Diffusions-Gleichungen und für die Grundgleichungen der inneren Elektronik. Informationen 07-10-86 der Technischen Universität, Dresden 1986. 

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