Existence de maillages optimaux dans les méthodes d'éléments finis

Paula de Oliveira

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1980)

  • Volume: 14, Issue: 3, page 279-290
  • ISSN: 0764-583X

How to cite

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de Oliveira, Paula. "Existence de maillages optimaux dans les méthodes d'éléments finis." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 14.3 (1980): 279-290. <http://eudml.org/doc/193362>.

@article{deOliveira1980,
author = {de Oliveira, Paula},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {error minimization; finite element methods; optimal mesh},
language = {fre},
number = {3},
pages = {279-290},
publisher = {Dunod},
title = {Existence de maillages optimaux dans les méthodes d'éléments finis},
url = {http://eudml.org/doc/193362},
volume = {14},
year = {1980},
}

TY - JOUR
AU - de Oliveira, Paula
TI - Existence de maillages optimaux dans les méthodes d'éléments finis
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1980
PB - Dunod
VL - 14
IS - 3
SP - 279
EP - 290
LA - fre
KW - error minimization; finite element methods; optimal mesh
UR - http://eudml.org/doc/193362
ER -

References

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  1. 1 I BABUSKA et W RHEINBOLDT, Analysis of Optimal Finite Element in R , University of Maryland, Technical note BN-869, 1978 Zbl0431.65055
  2. 2 I BABUšKA et W RHEINBOLDT, Error Estimates for Adaptive Finite Element Computations, University of Maryland, Technical note BN-854, 1977, S I A M J Num anal (à paraître) Zbl0398.65069MR483395
  3. 3 W E CARROLL et R M BARKER, A Theorem of Optimum Finite Element Idealisation, Int J Solids and Structures, vol 9, 1973, p 883-895 MR337119
  4. 4 Ph CIARLET, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam, 1978 Zbl0383.65058MR520174
  5. 5 G M MCNEICE et P V MARCAL, Optimization of Finite Element Grids Based on Minimum Potential Energy, J Engg for Industry, vol 95, série B, n° 1, 1973, p 186-190 
  6. 6 J NEČAS, Les méthodes directes en théorie des équations elliptiques, Masson, Paris, 1967 MR227584
  7. 7 P OLIVEIRA, Maillages optimaux dans les méthodes d'éléments finis, Thèse de 3e cycle, Paris, 1979 Zbl0447.65062
  8. 8 P OLIVEIRADérivabilité de l'erreur par rapport à la triangulation dans les méthodes d'éléments finis R A I R O , Analyse numérique, vol 14, n° 3 1980 Zbl0447.65063
  9. 9 W PRAGER, A Note on the Optimal Choice of Finite Elements Grids, Computer Methods in Applied Mechanics and Engineering, vol 6, 1975, p 363-366 Zbl0323.73059MR458944
  10. 10 J W TANG et D J TURCKE, Characteristics of Optimal Grids, Computer Methods in Applied Mechanics and Engineering, vol 11, 1977, p 31-37 
  11. 11 D J TURCKE et G M MCNEICE, Guidelines for Selecting Finite Element Grids Based on an Optimization Study, Computers and Structures, vol 4, 1974, p 499-519 

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