@article{M2AN_1991__25_2_213_0,
author = {Barrett, John W. and Elliott, Charles M.},
title = {Finite element approximation of a free boundary problem arising in the theory of liquid drops ans plasma physics},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {25},
year = {1991},
pages = {213-252},
mrnumber = {1097145},
zbl = {0709.76086},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1991__25_2_213_0}
}
Barrett, John W.; Elliott, Charles M. Finite element approximation of a free boundary problem arising in the theory of liquid drops ans plasma physics. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 25 (1991) pp. 213-252. http://gdmltest.u-ga.fr/item/M2AN_1991__25_2_213_0/
[ 1977] Estimations d'erreur dans L∞ pour les inéquations à obstacle In Mathematical Aspects of Finite Element Methods, Rome, 1975 Springer Lecture Notes Math 606, pp 27-34 | MR 488847 | Zbl 0374.65053
and [ 1989a] Finite element approximation of a plasma equilibrum problem IMA J Numer Anal 9, 443-464 | MR 1030641 | Zbl 0681.76114
and [ 1989b] Remarks concerning a free boundary problem arising in the theory of liquid drops and plasma physics Proc Roy Soc Edin A 111, 169-181 | MR 985997 | Zbl 0668.76137
and [ 1984] Liquid drops suspended by soap filmsPart II Proc. Roy. Soc. Lond. A 394, 33-45 | MR 763503 | Zbl 0573.76091
and [ 1980] On a free boundary problem arising in plasma physics Nonlinear Analysis 4, 415-436 | MR 574364 | Zbl 0437.35032
[ 1984] A free boundary problem related to axisymmetric MHD equilibria existence and numerical approximation of solutions Report of Dept Mathematics, Lausanne
[ 1987] : Simulation numérique des équilibres d'un plasma dans un tokomak : modélisation et études mathématiques. Thesis 650 of Dept. Mathematics, EPF-Lausanne.
[ 1988] : Approximation by finite element method of the model plasma problem. Dept. of Mathematics, University of Maryland.
[ 1988] : Numerical solution of some free boundary problems. Ph. D. Thesis, Imperial College.
[ 1988] : Introduction to Numerical Linear Algebra and Optimisation. C.U.P., Cambridge. | MR 1015713 | Zbl 0672.65001
and [ 1973] : Maximum principle and uniform convergence for the finite element method. Comp. Meth. Appl. Mech. Eng. 2, 17-31. | MR 375802 | Zbl 0251.65069
, and [ 1986] : A variational inequality associated with liquid on a soap film. Arch. Rat. Mech. Anal. 93, 15-45. | MR 822334
[ 1985b] : Sur les inéquations variationnelles à opérateur non coercif. M2AN.-R.A.I.R.O., 19, 195-212. | Numdam | MR 802593
[ 1985b] : On finite element approximation in the L∞-norm of variational inequalities. Numer. Math., 47, 45-57. | MR 797877 | Zbl 0574.65064
and [ 1987] : On numerical approximation in bifurcation theory. Report of the Department of Mathematics, EPF-Lausanne. | Zbl 0687.65057
and [ 1983] : The numerical solution of equality-constrained quadratic programming problems. Math. Comp., 163, 165-170. | MR 701631 | Zbl 0527.49030
[ 1974] : Error estimates for the approximation of a class of variational inequalities.Math. Comp. 28, 963-971. | MR 391502 | Zbl 0297.65061
[ 1982] : Variational Principles and Free Boundary Problems. J. Wiley, New York. | MR 679313 | Zbl 0564.49002
and [ 1982] : An analysis of upwind schemes for the Navier-Stokes equations SIAM. J. Numer. Anal. 19, 312-333. | MR 650053 | Zbl 0487.76036
[ 1985] : Elliptic Problems in Nonsmooth Domains, Pilman, Boston. | MR 775683 | Zbl 0695.35060
, and [ 1984] : Finite element approximation of a nonlinear eigenvalue problem related to MHD equilibria. Japan J. Appl. Math. 1, 369-403. | MR 840803 | Zbl 0634.76117
and [ 1978] : Regularity in free boundary problems. Ann. Scuola N. Sup. Pissa 5, 131-148. | Numdam | MR 481511 | Zbl 0409.76095
and [ 1980] : An Introduction to Variational Inequalities and Their Applications. Academic Press, New York. | MR 567696 | Zbl 0457.35001
[ 1977]: L∞-convergence of finite element approximations. In: Mathematical Aspects of Finite Element Methods, Rome. 1975. Springer Lectures Notes Math., 606,pp. 1-15. | MR 488848 | Zbl 0362.65088
[ 1984] : Approximation of a nondifferentiable nonlinear problem related to MHD equuibria. Numer. Math. 45, 117-133. | MR 761884 | Zbl 0527.65073
[ 1987] : Obstacle Problems in Mathematical Physics, North Holland, Amsterdam. | MR 880369 | Zbl 0606.73017
[ 1985] : An introduction to the analysis of the error in the finite element method for second-order elliptic boundary value problems. In : Numerical Analysis Lancaster 1984. Springer Lecture Notes, Math., 1129, pp. 94-139. | MR 799031 | Zbl 0577.65096
[ 1979] : Une méthode numérique en bifurcation - une application à un problème à frontière libre de la physique des plasmas. Appl. Math. Optim. 5, 127-151. | MR 533616 | Zbl 0393.65026
and [ 1973] : An Analysis of the Finite Element Method Prentice-Hall, New Jersey. | MR 443377 | Zbl 0356.65096
[ 1975] : A nonlinear eigenvalue problem : equilibrium shape of a confined plasma. Arch. Rat. Mech. Anal. 60, 51-73. | MR 412637 | Zbl 0328.35069
[ 1977] : Remarks on a free boundary problem arising in plasma physics. Comm. in P.D.E. 2, 563-585. | MR 602544 | Zbl 0355.35023
[ 1984] : Galerkin Finite Element Methods for Parabolic Problems. Lect.Notes Math. (Springer) # 1054. | MR 744045 | Zbl 0528.65052