Sur l’évaluation de l’erreur d’interpolation de Lagrange dans un ouvert de ℝ n

R. Arcangeli; J. L. Gout

Publications mathématiques et informatique de Rennes (1976)

  • Volume: 10, Issue: S5, page 1-15

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Arcangeli, R., and Gout, J. L.. "Sur l’évaluation de l’erreur d’interpolation de Lagrange dans un ouvert de $\mathbb {R}^n$." Publications mathématiques et informatique de Rennes 10.S5 (1976): 1-15. <http://eudml.org/doc/273786>.

@article{Arcangeli1976,
author = {Arcangeli, R., Gout, J. L.},
journal = {Publications mathématiques et informatique de Rennes},
language = {fre},
number = {S5},
pages = {1-15},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Sur l’évaluation de l’erreur d’interpolation de Lagrange dans un ouvert de $\mathbb \{R\}^n$},
url = {http://eudml.org/doc/273786},
volume = {10},
year = {1976},
}

TY - JOUR
AU - Arcangeli, R.
AU - Gout, J. L.
TI - Sur l’évaluation de l’erreur d’interpolation de Lagrange dans un ouvert de $\mathbb {R}^n$
JO - Publications mathématiques et informatique de Rennes
PY - 1976
PB - Département de Mathématiques et Informatique, Université de Rennes
VL - 10
IS - S5
SP - 1
EP - 15
LA - fre
UR - http://eudml.org/doc/273786
ER -

References

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  1. [1] Barnhill R.E. et Whiteman J.R., Error Analysis of Finite Element Methods with Triangles for Elliptic Boundary Value Problems, The mathematics of Finite Elements and Applications (J.R. Whitemen, ed.), 83-112, Acad. Press (1973). Zbl0284.65087
  2. [2] Bramble J.H. et Hilbert S.R., Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation, SIAM J . Numer. Anal.7, 112-124 (1970). Zbl0201.07803MR263214
  3. [3] Bramble J.H. et Hilebert S.R., Bounds for a Class of Linear Functionals with Applications to Hermite Interpolation, Numer. Math.16, 362-369 (1971). Zbl0214.41405MR290524
  4. [4] Ciarlet P.G.et Raviart P.A., General Lagrange and Hermite Interpolation in Rn with Applications to Finite Element Methods, Arch. Rat. Mech. Anal.46, 177-199 (1972). Zbl0243.41004MR336957
  5. [5] Ciarlet P.G. et Raviart P.A., Interpolation Theory over Curved Elements with Applications to Finite Element Methods, Comp. Meth.. Appl. Mech. Engin.1, 217-249 (1972). Zbl0261.65079MR375801
  6. [6] Ciarlet P.G. et Wagschal C., Multipoint Taylor Formulas and Applications to Finite Element Method, Numer. Math.17, 84-100 (1971). Zbl0199.50104MR287666
  7. [7] Chenin P., Thèse 3ème cycle, Grenoble (1974). 
  8. [8] Coatmelexc C., Approximation et interpolation des fonctions différentiables de plusieurs variables, Ann. Sc. Ecole Norm. Sup. (3) 83, 271-341 (1966). Zbl0155.10902MR232143
  9. [9] Descloux J., Méthode des éléments finis, Ecole polytechnique fédérale de Lausanne (1973). Zbl0331.65074
  10. [10] Meinguet J., Realistic Estimates for Generic Constants in Multivariate Pointwise Approximation, Topics in Numerical AnalysisII, J.J.H. Miller ed. Acad. Press. (1975). Zbl0346.65010MR422972
  11. [11] Necas J., Les méthodes directes en théorie des équations elliptiques, Masson (1967). Zbl1225.35003
  12. [12] Raviart P.A., Méthodes des éléments rédigé par J.M.. Thomas, D.E.A. Analyse Numérique,Paris VI (1971-1972). 
  13. [13] Strang G., Approximation in the Finite Element Method, Numer. Math.19, 81-98 (1972). Zbl0221.65174MR305547
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  15. [15] Zienkiewicz O.C., La méthode des éléments finis, Ediscience, Paris (1973). 

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