Numerical approximation of the Preisach model for hysteresis

C. Verdi; A. Visintin

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1989)

  • Volume: 23, Issue: 2, page 335-356
  • ISSN: 0764-583X

How to cite

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Verdi, C., and Visintin, A.. "Numerical approximation of the Preisach model for hysteresis." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 23.2 (1989): 335-356. <http://eudml.org/doc/193562>.

@article{Verdi1989,
author = {Verdi, C., Visintin, A.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Preisach model; initial and boundary value problem; weak solution; finite element space approximations; time discretizations; backward; differences; linearization; stability; Fortran implementation; continuous hysteresis operator},
language = {eng},
number = {2},
pages = {335-356},
publisher = {Dunod},
title = {Numerical approximation of the Preisach model for hysteresis},
url = {http://eudml.org/doc/193562},
volume = {23},
year = {1989},
}

TY - JOUR
AU - Verdi, C.
AU - Visintin, A.
TI - Numerical approximation of the Preisach model for hysteresis
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1989
PB - Dunod
VL - 23
IS - 2
SP - 335
EP - 356
LA - eng
KW - Preisach model; initial and boundary value problem; weak solution; finite element space approximations; time discretizations; backward; differences; linearization; stability; Fortran implementation; continuous hysteresis operator
UR - http://eudml.org/doc/193562
ER -

References

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  1. [1] M. BROKATE & A. VISINTIN, Properties of the Preisach model for hysteresis, Preprint (1988). Zbl0682.47034MR1022792
  2. [2] P. G. CIARLET, The finite element method for elliptic problems, North-Holland, Amsterdam (1978). Zbl0383.65058MR520174
  3. [3] K.-H. HOFFMANN, J. SPREKELS & A. VISINTIN, Identification of hysteresis loops, J. Comp. Phys., 78 (1988), 215-230. Zbl0659.65125MR959083
  4. [4] M. A. KRASNOSEL SKII & A. V. POKROVSKII, Systems with hysteresis (Russian), Nauka, Moscow (1983), English translation, Springer-Verlag, Berlin (1989). Zbl0665.47038MR987431
  5. [5] E. MAGENES, R. H. NOCHETTO & C. VERDI, Energy error estimates for a linear scheme to approximate nonlinear parabolic problems, RAIRO Model Math. Anal. Numer., 21 (1987), 655-678. Zbl0635.65123MR921832
  6. [6] J. M. ORTEGA & C. RHEIBOLDT, Iterative solution of non-linear equations in several variables, Academic Press, New York (1970). Zbl0241.65046
  7. [7] E. PREISACH, Uber die magnetische Nachwirkung, Z. Phisik, 94 (1935), 277-302. 
  8. [8] C. VERDI & A. VISINTIN, Numerical approximation of hysteresis problems, I M A J Numer Anal, 5 (1985), 447-463. Zbl0608.65082MR816068
  9. [9] C. VERDI & A. VISINTIN, Error estimates for a semi-explicit numerical scheme for Stefan-type problems, Numer. Math., 52 (1988), 165-185. Zbl0617.65125MR923709
  10. [10] A. VISINTIN, On the Preisach model for hysteresis, Non linear Anal, 9 (1984), 977-996. Zbl0563.35007MR760191
  11. [11] A. VISINTIN, Mathematical models of hysteresis, in Topics in Nonsmooth Analysis (J. J. Moreau, P. D. Panagiotopoulos & G Strang, Eds ), Birkhauser, Basel (1988). Zbl0656.73043MR957094

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