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. (English) Zbl 0276.65052 Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 21, 599-637 (1967). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 39 Documents MSC: 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs PDF BibTeX XML Cite \textit{J. P. Aubin}, Ann. Sc. Norm. Super. Pisa, Sci. Fis. Mat., III. Ser. 21, 599--637 (1967; Zbl 0276.65052) Full Text: Numdam EuDML References: [1] J.P. Aubin - Approximation des espaces de distributious et des opérateurs différentiels (to appear in Mémoires de la Soc. Math. France). Numdam | MR 227588 | Zbl 0157.21901 · Zbl 0157.21901 [2] J.P. Aubin - Eualuation des erreurs de troncature des approximations des espaces de Sobolev (to appear in J. Math. Anal. Appl. ). MR 223876 | Zbl 0162.18102 · Zbl 0162.18102 [3] J.P. Aubin - J.L. Lions - Remarques sur l’approximation régularisée des problèmes variationnels (to appear). · Zbl 0237.65063 [4] J. Cea - Approximation variationnelle des problèmes eiliptigues . Ann. Inst. Fourier - 14 345 - 444 ( 1964 ). Numdam | MR 174846 | Zbl 0127.08003 · Zbl 0127.08003 [5] M. Golomb - Optimal approximating manifolds in L2 spaces ( J. Math. Anal. Appl. - 12 505 - 512 ( 1965 ). MR 206588 | Zbl 0143.16304 · Zbl 0143.16304 [6] A.N. Kolmogorov - Über die beste Annaherung von Funktionnen eine gegeben Functionnenklasse . Ann. of Math. ( 37 ), 1936 , 107 - 111 . Zbl 0013.34903 · Zbl 0013.34903 [7] J.L. Lions - Problèmes aux limites pour les équations aux dérivées partielles . Univ. de Montreal ( 1965 ). MR 251372 · Zbl 0143.14003 [8] J.L. Lions - E. Magenes - Book to appear. [9] A.E. Martyniuk - Certain new applications of the methods of Galerkin type . Mat. Sb. 49 - 85 - 108 ( 1959 ). MR 129565 [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 ). MR 216306 | Zbl 0135.36503 · Zbl 0135.36503 [11] P.A. Raviart - Sur l’approximation de certaines équations d’evolution linéaires et non linéaires . (to eppear). Zbl 0198.49803 · Zbl 0198.49803 [12] I.J. Schoenberg - On interpolation by sphine functions and its minimal properties . Inter. series of Num. math. 5 , ( 109 - 129 ), ( 1964 ). MR 180785 | Zbl 0147.32101 · Zbl 0147.32101 [13] R. Teham - Thesis of Fac. Sc. Paris . To appear. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.