Free Access
Volume 25, Number 1, 1991
Page(s) 49 - 65
Published online 31 January 2017
  1. J. W. BARRETT, C. M. ELLIOTT, Finite element approximation of the plasma problem, To appear. [Zbl: 0681.76114]
  2. G. CALOZ, Simulation numérique des équilibres d'un plasma dans un tokamak : modélisation et études mathématiques, Thése n° 650, EPF, Lausanne, 1986.
  3. P. CIARLET, The finite element method for elliptic problems, North-Holland, Amsterdam, 1978. [MR: 520174] [Zbl: 0383.65058]
  4. M. CROUZEIX, J. RAPPAZ, On numerical approximation in bifurcation theory, RMA 13, Masson, Paris, 1989. [MR: 1069945] [Zbl: 0687.65057]
  5. A. FRIEDMANN, Variational principles and free boundary problems, Wiley, New York, 1982. [MR: 679313] [Zbl: 0564.49002]
  6. V. GIRAULT, P. A. RAVIART, Finite element methods for Navier-Stokes equations, Springer-Verlag, Berlin, 1986. [MR: 851383] [Zbl: 0585.65077]
  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. [MR: 466912] [Zbl: 0361.35022]
  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. [MR: 840803] [Zbl: 0634.76117]
  9. A. NIJENHUIS, Strong derivatives and inverse mappings, Amer. Math. Monthly, 81 (1974), pp. 969-980. [MR: 360958] [Zbl: 0296.58002]
  10. J. RAPPAZ, Approximation of a nondifferentiable nonlinear problem related to MHD equilibria, Numer. Math., 45 (1984), pp. 117-133. [EuDML: 132956] [MR: 761884] [Zbl: 0527.65073]
  11. R. TEMAM, A nonlinear eigenvalue problem: equilibrium shape of a confined plasma, Arch. Rat. Mech. Anal., 60 (1975), pp. 51-73. [MR: 412637] [Zbl: 0328.35069]

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