A mixed finite element method for a weighted elliptic problem

Marie-Noëlle Le Roux

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1982)

  • Volume: 16, Issue: 3, page 243-273
  • ISSN: 0764-583X

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Le Roux, Marie-Noëlle. "A mixed finite element method for a weighted elliptic problem." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 16.3 (1982): 243-273. <http://eudml.org/doc/193399>.

@article{LeRoux1982,
author = {Le Roux, Marie-Noëlle},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {mixed finite element method; weighted Dirichlet problem; error bounds; weighted Sobolev spaces},
language = {eng},
number = {3},
pages = {243-273},
publisher = {Dunod},
title = {A mixed finite element method for a weighted elliptic problem},
url = {http://eudml.org/doc/193399},
volume = {16},
year = {1982},
}

TY - JOUR
AU - Le Roux, Marie-Noëlle
TI - A mixed finite element method for a weighted elliptic problem
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1982
PB - Dunod
VL - 16
IS - 3
SP - 243
EP - 273
LA - eng
KW - mixed finite element method; weighted Dirichlet problem; error bounds; weighted Sobolev spaces
UR - http://eudml.org/doc/193399
ER -

References

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  1. 1. P. BOLLEY et J. CAMUS, Quelques résultats sur les espaces de Sobolev avec poids. Publications des Séminaires de Mathématiques, Rennes, 1968-1969. MR361752
  2. 2. F. BREZZI, On the Existence, Uniqueness and Approximation of Saddle-point Problems arising from Lagrangian Multipliers. R.A.I.R.O., R 2, pp. 129-151 (1974). Zbl0338.90047MR365287
  3. 3. P. G. CIARLET, P. A. RAVIART, General Lagrange and Hermite Interpolation in Rn with Applications to Finite Element Methods. Arch. Rat. Mech. Anal., vol. 46, 1972, pp. 177-199. Zbl0243.41004MR336957
  4. 4. P. G. CIARLET, The finite element method for elliptic problems. North Holland, 1978. Zbl0383.65058MR520174
  5. 5. M.-N. LE ROUX, Méthode d'éléments finis pour la résolution numérique de problèmes extérieurs en dimension 2. R.A.I.R.O., Analyse numérique/Numerical Analysis,vol. l l , n ° l , 1977, pp. 27 à 60. Zbl0382.65055
  6. 6. P. A. RAVIART, J. M. THOMAS, A mixed finite element method for 2nd order elliptic problems. Proceedings of the Symposium on the Mathematical Aspects of the Finite Element Methods. Rome, décembre 1975. Zbl0362.65089
  7. 7. R. TEMAM, Navier-Stokes équations. North Holland, 1979. Zbl0426.35003MR603444
  8. 8. J. M. THOMAS, Sur l'analyse numérique des méthodes d'éléments finis hybrides et mixtes. Thesis, Paris 6, 1977. 

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