Régularisation intérieure et convergence locale d'approximations d'équation elliptiques par éléments finis

J. Descloux

Publications mathématiques et informatique de Rennes (1974)

  • Issue: S4, page 1-11

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Descloux, J.. "Régularisation intérieure et convergence locale d'approximations d'équation elliptiques par éléments finis." Publications mathématiques et informatique de Rennes (1974): 1-11. <http://eudml.org/doc/274708>.

@article{Descloux1974,
author = {Descloux, J.},
journal = {Publications mathématiques et informatique de Rennes},
language = {fre},
number = {S4},
pages = {1-11},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Régularisation intérieure et convergence locale d'approximations d'équation elliptiques par éléments finis},
url = {http://eudml.org/doc/274708},
year = {1974},
}

TY - JOUR
AU - Descloux, J.
TI - Régularisation intérieure et convergence locale d'approximations d'équation elliptiques par éléments finis
JO - Publications mathématiques et informatique de Rennes
PY - 1974
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - S4
SP - 1
EP - 11
LA - fre
UR - http://eudml.org/doc/274708
ER -

References

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  1. [1] Bramble J.H. Hilbert S.R.Estimation of linear functionals on Sobolev spaces with application to Fourier transforms and spline interpolation. SIAM J. Numer. Anal. Vol. 7, No 1, 1970, pp. 112-124. Zbl0201.07803MR263214
  2. [2] Bramble J.H. Zlamal M.Triangular elements in the finite element method. Hath. Comp.24, 1970, pp. 809-820. Zbl0226.65073MR282540
  3. [3] Ciarlet P.G. Raviart P.A.The combined effect of curved boundaries and numerical integration in isoparametric finite element method. The Mathematical Foundations of the finite eleven; method with applications to partial differential equations. Academic Press, New York, London1972. Zbl0262.65070MR421108
  4. [4] Clement Ph. Pini F.Approximation by finite element functions using regularization. Report EPFL, Dept. Math.Lausanne1973. 
  5. [5] Descloux J.Some properties of approximations by finite elements. Report EPFL, Dept. Math.Lausanne1969. 
  6. [6] Descloux J.Two basic properties of finite elements. Report EPFL, Dept. Math.Lausanne1973. 
  7. [7] Dupuis G. Goël J.J.Elements finis raffinés en élasticité bidimensionnelle. ZAMP, vol. 20, Fasc. 6, 1969, pp. 858-881 Zbl0201.26604
  8. [8] Fichera G.Linear elliptic differential systems and eigenvalue problems. Lecture Notes in Mathematics8, 1965, Springer-VerlagBerlin. Zbl0138.36104MR209639
  9. [9] Nitsche J.Umkehrsätze für Spline-Approximationen. Compositio Mathematica, Vol. 21, Fasc. 4, 1969, pp. 400-416. Zbl0199.39302MR259436
  10. [10] Nitsche J. Schatz A.On local approximation properties of L 2 -projection on spline-subspaces. Applicable Analysis1972, Vol. 2, pp. 161-168. Zbl0239.41007MR397268
  11. [11] Nitsche J.Interior error estimates of projection methods. Proceedings of Equadiff III. J.E. Purkyne University. Brno1973. Zbl0357.65090MR359361
  12. [12] Strang G.Approximation in the finite element method. Num. Math.19, 1972, pp. 81-98. Zbl0221.65174MR305547
  13. [13] Thomee V. Westergren B.Elliptic difference equations and interior regularity. Num. Math.11, 1968, pp. 196-210. Zbl0159.38204MR224303

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