Une application de la théorie du contrôle optimal en ultracentrifugation

G. Motet

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1984)

  • Volume: 18, Issue: 3, page 287-307
  • ISSN: 0764-583X

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Motet, G.. "Une application de la théorie du contrôle optimal en ultracentrifugation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 18.3 (1984): 287-307. <http://eudml.org/doc/193435>.

@article{Motet1984,
author = {Motet, G.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {numerical examples; separative power of a centrifuge; boundary control problem; finite element method; method of conjugate directions; initial steplength; stopping tests; directional optimization algorithm; convergence},
language = {fre},
number = {3},
pages = {287-307},
publisher = {Dunod},
title = {Une application de la théorie du contrôle optimal en ultracentrifugation},
url = {http://eudml.org/doc/193435},
volume = {18},
year = {1984},
}

TY - JOUR
AU - Motet, G.
TI - Une application de la théorie du contrôle optimal en ultracentrifugation
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1984
PB - Dunod
VL - 18
IS - 3
SP - 287
EP - 307
LA - fre
KW - numerical examples; separative power of a centrifuge; boundary control problem; finite element method; method of conjugate directions; initial steplength; stopping tests; directional optimization algorithm; convergence
UR - http://eudml.org/doc/193435
ER -

References

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  1. [1] SOUBBARAMAYER, Centrifugation, in S Villani (Ed ) Uranium enrichment, Topics in applied physics Springer, Heidelberg 183-244 (1979) 
  2. [2] J L LIONS, Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles, Dunod, Pans (1968) Zbl0179.41801MR244606
  3. [3] D L RUSSEL, Controllability and stabilizability theory for linear PDE Recent progress and open questions, SIAM J on ControL 20-639-739 (1978) Zbl0397.93001MR508380
  4. [4] W H RAY and D G LAINIDIS, Distributed parameter Systems, M Dekker Inc (1978) Zbl0476.00031MR527208
  5. [5] POLAK, Computational methods in optimization A unified approach, Academic Press, New York (1971) Zbl0301.90040MR282511
  6. [6] J CEA, Optimisation théorie et algorithmes, Dunod, Pans (1971) Zbl0211.17402MR298892
  7. [7] SOUBBARAMAYER and BILLET, Comp Meth Appl Mech Eng , 24, 165-185 (1980) Zbl0466.76110
  8. [8] J P LAHARGUE and SOUBBARAMAYER, A numerical model for the investigation of the flow and isotope concentration field in an ultracentrifuge, Comp Meth appl Mech eng 15, 259-273 (1978) 
  9. [9] J M DARVES-BORNOZ, P L LIONS, G MOTET, An application of optimal control in ultracentrifugation, 4th International Workshop on gases in strong rotation (Proceedings) Zbl0609.76117
  10. [10] POLAKE, G RIBIERE, Sur la convergence de la méthode des gradients conjugués, Revue Française d'Informatique et de Recherche opérationnelle 16, R1 (1969) 
  11. [11] R HOOKE, T A JEEVES, Direct Search Solution of Numerica and Statistical Problems, Westinghouse hes Lab Scientific Paper NO 10-1210-1-P1 (1959) également dans Assoc for Computing Machinery, 8, 212 (1961) Zbl0111.12501
  12. [12] H H ROSENBROCK, An Automatic Method for finding the greatest or Least Value of a Function, Computer Journal, Vol 4, pp 175-18 (1960) MR136042
  13. [13] J R PALMER. An improved procedure for orthogonalising the search vectors in Rosenbrock's and Swann's direct search optimisation methods, Computer Journal, Vol 12, pp 69-71 (1969) Zbl0164.46105MR239736

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