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Sur les bornes d’erreur à posteriori pour les éléments propres d’opérateurs linéaires. (French) Zbl 0461.65043


MSC:

65J10 Numerical solutions to equations with linear operators
47A10 Spectrum, resolvent
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References:

[1] Anselone, P.M.: Collectively compact operator approximation theory. Prentice Hall (1971) · Zbl 0228.47001
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[3] Chatelin-Laborde, F.: Approximation spectrale d’un opérateur borné par la méthode de Galerkin et la variante de Sloan. CRAS, ser. A, t.284, 1069-1072 (1977) · Zbl 0362.65048
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[18] Mills, W.H.: Optimal error estimates for the finite element spectral approximation of noncompact operators. SIAM J. Num. Anal. (1979) · Zbl 0419.65067
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[20] Rappaz, J.: Approximation par la méthode des éléments finis du spectre d’un opérateur non compact donné par la stabilité magnétohydrodynamique d’un plasma. Thèse EPF Lausanne (1976)
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[27] Vainikko, G.M.: The connection between mechanical quadrature and finite difference methods. ibidem9, 259-270 (1969)
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[29] Vainikko, G.M.: Funktionalanalysis der Diskretizierungsmethoden. Leipzig: Teubner Verlag 1976 · Zbl 0343.65023
[30] Vogelius, M.: Manuscrit non publié, Université du Maryland (1977)
[31] Wilkinson, J.H.: The algebraic eigenvalue problem. Clarendon Press, 1965 · Zbl 0258.65037
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