Optimal control and regularization to model the atmospheric electron content from satellite measurements

J.-F. Ciavaldini; F. Foucher

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

  • Volume: 32, Issue: 1, page 117-130
  • ISSN: 0764-583X

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Ciavaldini, J.-F., and Foucher, F.. "Optimal control and regularization to model the atmospheric electron content from satellite measurements." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 32.1 (1998): 117-130. <http://eudml.org/doc/193864>.

@article{Ciavaldini1998,
author = {Ciavaldini, J.-F., Foucher, F.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {penalization; ill-posedness; Bent model; error estimates; satellite SPOT-2},
language = {eng},
number = {1},
pages = {117-130},
publisher = {Dunod},
title = {Optimal control and regularization to model the atmospheric electron content from satellite measurements},
url = {http://eudml.org/doc/193864},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Ciavaldini, J.-F.
AU - Foucher, F.
TI - Optimal control and regularization to model the atmospheric electron content from satellite measurements
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1998
PB - Dunod
VL - 32
IS - 1
SP - 117
EP - 130
LA - eng
KW - penalization; ill-posedness; Bent model; error estimates; satellite SPOT-2
UR - http://eudml.org/doc/193864
ER -

References

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  2. [2] C. DE BOOR, 1978, A practical guide to splines, Springer-Verlag. Zbl0406.41003MR507062
  3. [3] J. H. BRAMBLE and S. R. HILBERT, 1970, Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation, SIAM J. Numer. Anal. 7, pp. 112-124. Zbl0201.07803MR263214
  4. [4] CCIR Report 340-5, 1988, CCIR Atlas of ionospheric characteristics, UIT, Genève. 
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  6. [6] P. G. CIARLET, 1985, Introduction à l'analyse numérique matricielle et à l'optimisation, Masson. Zbl0488.65001
  7. [7] J. F. CIAVALDINI and F. FOUCHER, 1991, Modelling the ionospheric electron content for the correction of altimetric measurements, PAGEOPH, vol. 135, n° 3. 
  8. [8] R. FLEURY, R. FOUCHER and P. LASSUDRIE-DUCHESNE, 1989, Correction of ionospheric effects for the precise orbit determination of satellites, San Diego, California, USA, AGARD-CP-453, pp. 33.1-33.12. 
  9. [9] R. FLEURY, F. FOUCHER, and P. LASSUDRIE-DUCHESNE, 1991, Global TEC measurements capabilities of the DORIS system, Adv. Space Res., vol. 11, n° 10, pp. 51-54. 
  10. [10] F. FOUCHER, 1991, Modélisation du contenu électronique total à partir de mesures de l'effet Doppler ionosphérique. Application à l'altimétrie par satellite, Thèse de l'Université de Rennes 1. 
  11. [11] P. LASCAUX and R. THEODOR, 1986, Analyse numérique matricielle appliquée à l'art de l'ingénieur, Masson. Zbl0601.65016MR835440
  12. [12] J. L. LIONS, 1968, Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles, Dunod. Zbl0179.41801MR244606
  13. [13] J. L. LIONS and E. MAGENES, 1968, Problèmes aux limites non homogènes et applications, vol. 1, Dunod. Zbl0165.10801MR247243
  14. [14] J. L. LIONS and G. STAMPACCHIA, 1967, Variational inequalities, Communications on pure and applied mathematics, vol. XX, pp. 496-519. Zbl0152.34601MR216344
  15. [15] H. RISHBETH and O. K. GARRIOT, 1969, Introduction to ionospheric physics, International geophysics series, vol. 14, academic press. 

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