On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis

Jacques Rappaz; Rachid Touzani

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1996)

  • Volume: 30, Issue: 2, page 215-235
  • ISSN: 0764-583X

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Rappaz, Jacques, and Touzani, Rachid. "On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 30.2 (1996): 215-235. <http://eudml.org/doc/193803>.

@article{Rappaz1996,
author = {Rappaz, Jacques, Touzani, Rachid},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {electromagnetic casting processes; Babuska-Brezzi condition; coupled finite element/boundary element procedure; regular solutions; continuous problem},
language = {eng},
number = {2},
pages = {215-235},
publisher = {Dunod},
title = {On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis},
url = {http://eudml.org/doc/193803},
volume = {30},
year = {1996},
}

TY - JOUR
AU - Rappaz, Jacques
AU - Touzani, Rachid
TI - On a two-dimensional magnetohydrodynamic problem. II. Numerical analysis
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1996
PB - Dunod
VL - 30
IS - 2
SP - 215
EP - 235
LA - eng
KW - electromagnetic casting processes; Babuska-Brezzi condition; coupled finite element/boundary element procedure; regular solutions; continuous problem
UR - http://eudml.org/doc/193803
ER -

References

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  1. [1] J. RAPPAZ, R. TOUZANI, 1991, On a two-dimensional magnetohydrodynamic problem. I : modelling andanalysis, M2AN, 26,No. 2, pp.347-364. Zbl0738.76086MR1153006
  2. [2] V. GiRAULT, P.-A. RAVTART, 1985, Finite element approximation of the Navier-Stokes equations, Springer Verlag. Zbl0413.65081
  3. [3] C. JOHNSON, J.-C. NEDELEC, 1980, On the coupling of boundary integral and finite element methods, Math. of Comp., 53 No.152, 1063-1079. Zbl0451.65083MR583487
  4. [4] M. CROUZEIX, J. RAPPAZ, 1990, On numerical approximation in bifurcation theory, Masson, Paris. Zbl0687.65057MR1069945
  5. [5] J.-C. NEDELEC, 1977, Approximation des équations intégrales en mécanique et en physique, Rapport du Centre de Mathématiques Appliquées, Ecole Polytechnique Palaiseau. 
  6. [6] M. COSTABEL, M. DAUGE, Paper in préparation. 
  7. [7] R. SEELEY, 1969, Cours du C.I.M.E., 1968, ed. Cremonese, Roma. MR259335
  8. [8] R. TEMAM, 1984, Navier-Stokes equations, North-Holland, Amsterdam. Zbl0568.35002MR769654
  9. [9] O. BESSON, J. BOURGEOIS, P. A. CHEVALIER, J. RAPPAZ, R. TOUZANI, 1991, Numerical modelling of electromagnetic casting processes, J. Comput. Phys., 92, No. 2, pp. 482-507. Zbl0721.65076MR1094260
  10. [10] P. G. ClARLET, 1978, The finite element method for elliptic problems, North-Holland, Amsterdam. Zbl0383.65058

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