Numerical Solution of the Transonic Equation by the Finite Element Method via Optimal Control

M. O. Bristeau; R. Glowinski; O. Pironneau

Publications mathématiques et informatique de Rennes (1976)

  • Issue: S5, page 1-12

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Bristeau, M. O., Glowinski, R., and Pironneau, O.. "Numerical Solution of the Transonic Equation by the Finite Element Method via Optimal Control." Publications mathématiques et informatique de Rennes (1976): 1-12. <http://eudml.org/doc/273788>.

@article{Bristeau1976,
author = {Bristeau, M. O., Glowinski, R., Pironneau, O.},
journal = {Publications mathématiques et informatique de Rennes},
keywords = {transonic equation; compressible potential flow; linear distributed parameter system; finite element method; conjugate gradient algorithm},
language = {eng},
number = {S5},
pages = {1-12},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Numerical Solution of the Transonic Equation by the Finite Element Method via Optimal Control},
url = {http://eudml.org/doc/273788},
year = {1976},
}

TY - JOUR
AU - Bristeau, M. O.
AU - Glowinski, R.
AU - Pironneau, O.
TI - Numerical Solution of the Transonic Equation by the Finite Element Method via Optimal Control
JO - Publications mathématiques et informatique de Rennes
PY - 1976
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S5
SP - 1
EP - 12
LA - eng
KW - transonic equation; compressible potential flow; linear distributed parameter system; finite element method; conjugate gradient algorithm
UR - http://eudml.org/doc/273788
ER -

References

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  1. Garabedian P.R., Korn D.G. - Analysis of transonic airfoils. Com. pure Appl. Math. Vol. 24 pp. 841-851. (1971) Zbl0242.76033MR297209
  2. Gelder D. - Solution of the compressible flow equation. Int. J. on Num. Meth. in Eng., Vol. 3 pp. 35-43 (1971) Zbl0251.76046
  3. Glowinski R. periaux J., pironneau O. - Transonic flow computation by the finite element method via optimal control. Congrès ICCAD Porto Fino June 1976. Zbl0445.76042
  4. Glowinski R. and pironneau O. - Calcul d'écoulement transsonique par des méthodes d'éléments finis et de contrôle optimal. Proc. Conf. IRIA Dec.1975. Zbl0354.76041
  5. Jameson A. - Iterative solution of transonic flows, Conf. Pure and Applied Math. (1974). Zbl0296.76033
  6. Norries D.H., G. de Vries - The finite element method. Academic pressNew-York (1973). Zbl0293.65087MR519128
  7. periaux J. - Three dimensional analysis of compressible potential flows with the finite element method. Int. J. for Num. Methods in Eng. Vol. 9 (1975). Zbl0332.76034
  8. Polak E. - Computational methods in optimization. Academic press (1971). Zbl0301.90040MR282511

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