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Construction d’approximations des espaces de Sobolev sur des réseaux en simplexes. (French) Zbl 0198.46206


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[1] K. O. Friedrichs,A finite difference scheme for the Neumann and the Dirichlet Problems, New York (1962).
[2] K. O. Friedrichs,A finite difference schcme for generalised Neumann Problems in “Numerical Solution of Partial differential Equations{”, edited by Bramble (1966).}
[3] Ju. K. Demianovitch,Approximation and convergence of the net method in elliptic problems. Soviet Math. Doklady7 (1966) 1129–33.
[4] J. Cea,Approximation variationnelle des problèmes aux limites, Annales Institut Fourier14 (1964) 345–444. · Zbl 0127.08003
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[6] J. P. Aubin,Behaviour of the approximate solution of boundary value Problems for linear elliptic operators by Galerkin’s and finite difference methods, Annali della Scuola Normale Superiore di Pisa. 1967 Vol. XXI 559–639.
[7] J. P. Aubin,Approximation of non homogeneous Neumann Problems; regularity of the convergence and estimates of errors in terms of n-width (à paraítre).
[8] J. P. Aubin,Approximation dans L p des problèmes aux limites non homogènes par des schémas aux différences finies. C. R. Acad. Sc. 1969 t. 268 861–863. · Zbl 0176.44802
[9] J. P. Aubin, Approximation des problèmes aux limites non homogènes pour l’opérateur D i (pD i u) C. R. Acad. Sc. 1969 t. 268 950–953.
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