A problem of magnetostatics related to thin plates

Jean Descloux; Michel Flueck; Michel V. Romerio

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1998)

  • Volume: 32, Issue: 7, page 859-876
  • ISSN: 0764-583X

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Descloux, Jean, Flueck, Michel, and Romerio, Michel V.. "A problem of magnetostatics related to thin plates." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 32.7 (1998): 859-876. <http://eudml.org/doc/193902>.

@article{Descloux1998,
author = {Descloux, Jean, Flueck, Michel, Romerio, Michel V.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {magnetostatics; thin plates; algorithms; inverse magnetic susceptibility; numerical results; Galerkin method},
language = {eng},
number = {7},
pages = {859-876},
publisher = {Dunod},
title = {A problem of magnetostatics related to thin plates},
url = {http://eudml.org/doc/193902},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Descloux, Jean
AU - Flueck, Michel
AU - Romerio, Michel V.
TI - A problem of magnetostatics related to thin plates
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1998
PB - Dunod
VL - 32
IS - 7
SP - 859
EP - 876
LA - eng
KW - magnetostatics; thin plates; algorithms; inverse magnetic susceptibility; numerical results; Galerkin method
UR - http://eudml.org/doc/193902
ER -

References

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  2. [2] Sh. AXLER, P. BOURDON and W. RAMEY, Harmonic function theory. Graduate Texts in Mathematics, 137, Springer-Verlag, New York, 1992. Zbl0765.31001MR1184139
  3. [3] A. BOSSAVIT, On the condition "H normal to the wall" in magnetic field problems. Écoles CEA-EDF-INRIA: Magnétostatique, pages 9-28, INRIA 1987. Zbl0616.65125
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  5. [5] M. FRIEDMAN, Finite element formulation of the general magnetostatic problem in the space of solenoidal vector functions. Math. of Comp., 43: pp. 415-431, 1984. Zbl0561.65093MR758191
  6. [6] J. K. HALE and G. RAUGEL, Partial differential equations on thin domains. In Differential equations and mathematical physics. Mathematics in science and engineering, 186, edited by Ch. Bennewitz, Academic Press, Boston, 1992. Zbl0785.35050MR1126691
  7. [7] H. LE DRET, Problèmes variationnels dans les multi-domaines. Modélisation des jonctions et applications. Masson, Paris, 1991. Zbl0744.73027MR1130395
  8. [8] J.-L. LIONS, Perturbations singulières dans les problèmes aux limites et en contrôle optimal. Lecture Notes in Mathematics, 323, Springer-Verlag, Berlin, 1973. Zbl0268.49001MR600331
  9. [9] J. PASCIAK, A new scalar potential formulation of the magnetostatic field problem. Math. of Comp., 43: pp. 433-445, 1984. Zbl0552.65082MR758192
  10. [10] G. RAUGEL and G. SELL, Équations de Navier-Stokes dans des domaines minces en dimension trois : régularité globale. C. R. Acad. Sci. Paris, Série I, Math. 309 : pp. 299-303, 1989. Zbl0715.35063MR1054239
  11. [11] F. ROGIER, Mathematical and numerical stùdy of a magnetostatic problem around a thin shield. SIAM J. Numer. Anal., 30: pp. 454-477, 1993. Zbl0773.65086MR1211400
  12. [12] R. TEMAM and M. ZIANE, Navier-Stokes equations in three-dimensional thin domains with various boundary conditions. Advances in Differential Equations, 1: pp. 499-546, 1996. Zbl0864.35083MR1401403
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  14. [14] R. DAUTRAY and J.-L. LIONS, Analyse mathématique et calcul numérique pour les sciences et les techniques. Masson, Paris, 1985. Zbl0642.35001

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