Approximation by finite element method of the model plasma problem

Gabriel Caloz

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

  • Volume: 25, Issue: 1, page 49-65
  • ISSN: 0764-583X

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Caloz, Gabriel. "Approximation by finite element method of the model plasma problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 25.1 (1991): 49-65. <http://eudml.org/doc/193621>.

@article{Caloz1991,
author = {Caloz, Gabriel},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {finite element approximations; plasma problem},
language = {eng},
number = {1},
pages = {49-65},
publisher = {Dunod},
title = {Approximation by finite element method of the model plasma problem},
url = {http://eudml.org/doc/193621},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Caloz, Gabriel
TI - Approximation by finite element method of the model plasma problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 1
SP - 49
EP - 65
LA - eng
KW - finite element approximations; plasma problem
UR - http://eudml.org/doc/193621
ER -

References

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  1. [1] J. W. BARRETT, C. M. ELLIOTT, Finite element approximation of the plasma problem, To appear. Zbl0681.76114
  2. [2] G. CALOZ, Simulation numérique des équilibres d'un plasma dans un tokamak : modélisation et études mathématiques, Thése n° 650, EPF, Lausanne, 1986. 
  3. [3] P. CIARLET, The finite element method for elliptic problems, North-Holland, Amsterdam, 1978. Zbl0383.65058MR520174
  4. [4] M. CROUZEIX, J. RAPPAZ, On numerical approximation in bifurcation theory, RMA 13, Masson, Paris, 1989. Zbl0687.65057MR1069945
  5. [5] A. FRIEDMANN, Variational principles and free boundary problems, Wiley, New York, 1982. Zbl0564.49002MR679313
  6. [6] V. GIRAULT, P. A. RAVIART, Finite element methods for Navier-Stokes equations, Springer-Verlag, Berlin, 1986. Zbl0585.65077MR851383
  7. [7] P. GRISVARD, Behavior of the solutions of an elliptic boundary value problem in a polygonal or polyhedral domain, Numerical solution of partial differential equations, B. Hubbard (ed.) (1976), pp. 207-274. Zbl0361.35022MR466912
  8. [8] F. KIKUCHI, K. NAKAZATO, T. USHIJIMA, Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria, Japan J. Appl. Math., 1 (1984), pp. 369-403. Zbl0634.76117MR840803
  9. [9] A. NIJENHUIS, Strong derivatives and inverse mappings, Amer. Math. Monthly, 81 (1974), pp. 969-980. Zbl0296.58002MR360958
  10. [10] J. RAPPAZ, Approximation of a nondifferentiable nonlinear problem related to MHD equilibria, Numer. Math., 45 (1984), pp. 117-133. Zbl0527.65073MR761884
  11. [11] R. TEMAM, A nonlinear eigenvalue problem: equilibrium shape of a confined plasma, Arch. Rat. Mech. Anal., 60 (1975), pp. 51-73. Zbl0328.35069MR412637

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