On the coupling of elliptic and hyperbolic nonlinear differential equations

G. Aguilar; F. Lisbona

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1994)

  • Volume: 28, Issue: 4, page 399-417
  • ISSN: 0764-583X

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Aguilar, G., and Lisbona, F.. "On the coupling of elliptic and hyperbolic nonlinear differential equations." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 28.4 (1994): 399-417. <http://eudml.org/doc/193745>.

@article{Aguilar1994,
author = {Aguilar, G., Lisbona, F.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {coupling conditions; regularisation; interface conditions},
language = {eng},
number = {4},
pages = {399-417},
publisher = {Dunod},
title = {On the coupling of elliptic and hyperbolic nonlinear differential equations},
url = {http://eudml.org/doc/193745},
volume = {28},
year = {1994},
}

TY - JOUR
AU - Aguilar, G.
AU - Lisbona, F.
TI - On the coupling of elliptic and hyperbolic nonlinear differential equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1994
PB - Dunod
VL - 28
IS - 4
SP - 399
EP - 417
LA - eng
KW - coupling conditions; regularisation; interface conditions
UR - http://eudml.org/doc/193745
ER -

References

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  1. [1] G. AGUILAR, F. LISBONA, Singular Perturbation analysis of the coupling of elliptic and hyperbolic differential equations, Equadiff 91. International Conference on Differential Equations, Edited by C. Perelló, C. Simó and J. Solá Morales, World Scientific, Singapore, New Jersey, London, Hong Kong, 253-257. Zbl0938.35510MR1242246
  2. [2] C. BARDOS, A Y. LEROUX, J. C. NEDÉLEC, 1979, First order quasilinear equations with boundary conditions, Comm In Part Diff Equations, 4 (9) 1017-1034. Zbl0418.35024MR542510
  3. [3] F. GASTALDI, A. QUARTERONI, 1989, On the coupling of hyperbolic and parabolic Systems analytical and numerical approach, Appl. Numer. Math., 6, 3-31. Zbl0686.65084MR1045016
  4. [4] F. GASTALDI, A. QUARTERONI, G SACCHI LANDRIANI, 1990, On the coupling of two dimensional hyperbolic and elliptic equations analytical and numerical approach, Domain decomposition methods for partial differential equations, III, SIAM, Philaderphia, 22-63 Zbl0709.65092MR1064336
  5. [5] J. LORENZ, 1981, Nonlinear boundary value problems with turning points and properties of difference schemes, Lecture Notes in Math, 942, 150-169. Zbl0487.34067MR679352
  6. [6] J. LORENZ, 1984, Analysis of difference schemes for a stationary shock problem, SIAM, J. Numer. Anal., 21, 1038-1052. Zbl0574.65103MR765505
  7. [7] J. SCHRODER, 1980, Operator Inequalities, Academic Press, New York, London, Toronto, Sydney and San Francisco, 1980. Zbl0455.65039MR578001

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