EDP Sciences Journals List
Free access article

Issue ESAIM: M2AN
Volume 35, Number 6, November-December 2001
Page(s) 1137 - 1158
DOI 10.1051/m2an:2001151

References

1
H.W. Alt and L.A. Caffarelli, Existence and regularity for a minimum problem with a free boundary. J. Reine Angew. Math. 25 (1981) 105-144.
2
O. Coulaud and A. Henrot, Numerical approximation of a free boundary problem arising in electromagnetic shaping. SIAM J. Numer. Anal. 31 (1994) 1109-1127.
3
M. Crouzeix, Variational approach of magnetic shaping problem. Eur. J. Mech. B/Fluids 10 (1991) 627-536.
4
J. Descloux, Stability of solutions of the bidimensional magnetic shaping problem in absence of surface tension. Eur. J. Mech. B/Fluids 10 (1991) 513-526.
5
Ph. Féat, Approximation d'un problème de frontière libre bidimensionnel. Thèse de l'Université de Rennes I, France (1998).
6
A. Friedman, Variational Principles and Free Boundary Problems. John Wiley & Sons, New York (1982).
7
B. Gustafsson and H. Shagholian, Existence and geometric properties of solutions of a free boundary problem in potential theory. J. Reine Angew. Math. 68 (1996) 137-179.
8
A. Henrot, Subsolutions and supersolutions in a free boundary problem. Ark. Mat. 32 (1994) 79-98.
9
A. Henrot and M. Pierre, Un problème inverse en formage des métaux liquides. RAIRO Modél. Math. Anal. Numér. 23 (1989) 155-177.
10
R. Kress, Linear Integral Equations. Springer, New York (1989).
11
W. McLean and W.L. Wendland, Trigonometric approximation of solutions of periodic pseudodifferential equations. Oper. Theory: Adv. Appl. 41 (1989) 359-383.
12
S. Mikhlin and S. Prößdorf, Singular Integral Operators. Springer-Verlag, Berlin (1986).
13
X. Pelgrin, Un problème de frontière libre. Thèse de l'Université de Rennes I, France (1994).
14
M. Pierre and J.R. Roche, Numerical simulation of tridimensional electromagnetic shaping of liquid metals. Numer. Math. 65 (1993) 203-217.
15
S. Prößdorf and B. Silbermann, Numerical Analysis for Integral and Related Operator Equations. Akademie-Verlag, Berlin (1991).
16
J. Saranen and L. Schroderus, Quadrature methods for strongly elliptic equations of negative order on smooth closed curves. SIAM J. Numer. Anal. 30 (1993) 1769-1795.
17
Y. Yan and I.H. Sloan, On integral equations of the first kind with logarithmic kernels. J. Integral Equations. Appl. 1 (1988) 549-579.

Abstract

Copyright EDP Sciences, SMAI 2001



What is OpenURL?

The OpenURL standard is a protocol for transmission of metadata describing the resource that you wish to access. An OpenURL link contains article metadata and directs it to the OpenURL server of your choice. The OpenURL server can provide access to the resource and also offer complementary services (specific search engine, export of references...). The OpenURL link can be generated by different means.
  • If your librarian has set up your subscription with an OpenURL resolver, OpenURL links appear automatically on the abstract pages.
  • You can define your own OpenURL resolver with your EDPS Account. In this case your choice will be given priority over that of your library.
  • You can use an add-on for your browser (Firefox or I.E.) to display OpenURL links on a page (see http://www.openly.com/openurlref/). You should disable this module if you wish to use the OpenURL server that you or your library have defined.