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

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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. 

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