Estimations d'erreur pour des éléments finis droits presque dégénérés

Pierre Jamet

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1976)

  • Volume: 10, Issue: R1, page 43-60
  • ISSN: 0764-583X

How to cite

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Jamet, Pierre. "Estimations d'erreur pour des éléments finis droits presque dégénérés." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 10.R1 (1976): 43-60. <http://eudml.org/doc/193274>.

@article{Jamet1976,
author = {Jamet, Pierre},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {fre},
number = {R1},
pages = {43-60},
publisher = {Dunod},
title = {Estimations d'erreur pour des éléments finis droits presque dégénérés},
url = {http://eudml.org/doc/193274},
volume = {10},
year = {1976},
}

TY - JOUR
AU - Jamet, Pierre
TI - Estimations d'erreur pour des éléments finis droits presque dégénérés
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1976
PB - Dunod
VL - 10
IS - R1
SP - 43
EP - 60
LA - fre
UR - http://eudml.org/doc/193274
ER -

References

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  1. [1] ADINI A and CLOUGH R W, Analysis of plate bending by the finite element method N S F report G 7337, 1961 
  2. [2] AGMON S, Lectures on elliptic boundary value problems, Van Nostrand, 1965 Zbl0142.37401MR178246
  3. [3] BRAMBLE J H and HILBERT S R, Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation, S I A M J Numer Anal, 7, 112-124, 1970 Zbl0201.07803MR263214
  4. [4] BRAMBLE J H and ZLAMAL M, Triangular elements in the finite element method, Math Comp , 24,809-820, 1970 Zbl0226.65073MR282540
  5. [5] CIARLET P G and 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
  6. [6] CIARLET P G and RAVIART P -A, Interpolation theory over curved elements, with applications to finite element methods, Comp Meth Appl Mech Eng, 1, 217-249, 1972 Zbl0261.65079MR375801
  7. [7] COURANT R and HILBERT D, Methods of mathematical physics Vol 2, Interscience Publishers, 1962 Zbl0099.29504
  8. [8] LIONS J L, Problèmes aux limites dans les équations aux dérivées partielles, Presses de l'Université de Montréal, 1962 Zbl0143.14003MR251372
  9. [9] NICOLAIDES R AOn a class of finite éléments generaled by Lagrange interpolation, S I A M J , Numer Anal 10, 182-189 1973 Zbl0244.65007MR317512
  10. [10] STRANG G, Approximation in the finite element method, Numer Math , 19, 81-98, 1972 Zbl0221.65174MR305547
  11. [11] STRANG G and Fix G J, An analysis of the finite element method, Prentice Hall, 1973 Zbl0356.65096MR443377
  12. [12] SYNGE, J L, The hypercircle in mathematical physics, Cambridge University Press, 1957 Zbl0079.13802MR97605
  13. [13] ZIENKIENVICZ O C, The finite element method in engineering science, McGraw-Hill, 1971 Zbl0237.73071
  14. [14] ZLAMAL M, On the finite element method, Numer Math , 12,394-409, 1968 Zbl0176.16001MR243753

Citations in EuDML Documents

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  1. Peter Oswald, Divergence of FEM: Babuška-Aziz triangulations revisited
  2. Pierre Jamet, Estimations d'erreur pour l'approximation de l'équation de la chaleur dans un domaine variable par des méthodes d'éléments finis espace-temps
  3. Komla Domelevo, Pascal Omnes, A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
  4. Michal Křížek, On semiregular families of triangulations and linear interpolation
  5. Kenta Kobayashi, Takuya Tsuchiya, A priori error estimates for Lagrange interpolation on triangles
  6. Kenta Kobayashi, Takuya Tsuchiya, Extending Babuška-Aziz's theorem to higher-order Lagrange interpolation
  7. Komla Domelevo, Pascal Omnes, A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids
  8. Thomas Apel, Ariel L. Lombardi, Max Winkler, Anisotropic mesh refinement in polyhedral domains: error estimates with data in L2(Ω)
  9. Václav Kučera, Several notes on the circumradius condition
  10. Antti Hannukainen, Sergey Korotov, Michal Křížek, On Synge-type angle condition for d -simplices

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