Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin's and finite difference methods

Jean Pierre Aubin

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze (1967)

  • Volume: 21, Issue: 4, page 599-637
  • ISSN: 0391-173X

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Aubin, Jean Pierre. "Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin's and finite difference methods." Annali della Scuola Normale Superiore di Pisa - Classe di Scienze 21.4 (1967): 599-637. <http://eudml.org/doc/83439>.

@article{Aubin1967,
author = {Aubin, Jean Pierre},
journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
language = {eng},
number = {4},
pages = {599-637},
publisher = {Scuola normale superiore},
title = {Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin's and finite difference methods},
url = {http://eudml.org/doc/83439},
volume = {21},
year = {1967},
}

TY - JOUR
AU - Aubin, Jean Pierre
TI - Behavior of the error of the approximate solutions of boundary value problems for linear elliptic operators by Galerkin's and finite difference methods
JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
PY - 1967
PB - Scuola normale superiore
VL - 21
IS - 4
SP - 599
EP - 637
LA - eng
UR - http://eudml.org/doc/83439
ER -

References

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  1. [1] J.P. Aubin - Approximation des espaces de distributious et des opérateurs différentiels (to appear in Mémoires de la Soc. Math. France). Zbl0157.21901MR227588
  2. [2] J.P. Aubin - Eualuation des erreurs de troncature des approximations des espaces de Sobolev (to appear in J. Math. Anal. Appl.). Zbl0162.18102MR223876
  3. [3] J.P. Aubin- J.L. Lions - Remarques sur l'approximation régularisée des problèmes variationnels (to appear). 
  4. [4] J. Cea - Approximation variationnelle des problèmes eiliptigues. Ann. Inst. Fourier -14345-444 (1964). Zbl0127.08003MR174846
  5. [5] M. Golomb - Optimal approximating manifolds in L2 spaces (J. Math. Anal. Appl. -12505-512 (1965). Zbl0143.16304MR206588
  6. [6] A.N. Kolmogorov - Über die beste Annaherung von Funktionnen eine gegeben Functionnenklasse. Ann. of Math. (37), 1936, 107-111. Zbl0013.34903
  7. [7] J.L. Lions - Problèmes aux limites pour les équations aux dérivées partielles. Univ. de Montreal (1965). MR251372
  8. [8] J.L. Lions- E. Magenes - Book to appear. 
  9. [9] A.E. Martyniuk - Certain new applications of the methods of Galerkin type. Mat. Sb.49-85-108 (1959). MR129565
  10. [10] W.V. Petryshyn - On a class of k. p. d. and non kpd operators and operator equations. J. Math. Anal. Appl.10-1-24 (1965). Zbl0135.36503MR216306
  11. [11] P.A. Raviart - Sur l'approximation de certaines équations d'evolution linéaires et non linéaires. (to eppear). Zbl0198.49803
  12. [12] I.J. Schoenberg - On interpolation by sphine functions and its minimal properties. Inter. series of Num. math.5, (109-129), (1964). Zbl0147.32101MR180785
  13. [13] R. Teham - Thesis of Fac. Sc.Paris. To appear. 

Citations in EuDML Documents

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  1. Walter Alt, Nils Bräutigam, Arnd Rösch, Error estimates for finite element approximations of elliptic control problems
  2. P. Lascaux, P. Lesaint, Éléments finis non-conformes pour le problème de la flexion des plaques minces
  3. Pierre Lesaint, On the Convergence of Wilson's Non-Conforming Element for Solving the Elastic Problem
  4. P. Lascaux, P. Lesaint, Some nonconforming finite elements for the plate bending problem
  5. Ivo Babuška, Computation of derivatives in the finite element method
  6. Ivo Babuška, A remark to the finite element method
  7. Falko Baustian, Kateřina Filipová, Jan Pospíšil, Solution of option pricing equations using orthogonal polynomial expansion
  8. J.-P. Aubin, Approximation des espaces de distributions et des opérateurs différentiels
  9. Shawn W. Walker, A mixed formulation of a sharp interface model of stokes flow with moving contact lines

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