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Kesavan, Srinivasan

Homogenization of elliptic eigenvalue problems. II. (English) Zbl 0428.35062

Appl. Math. Optimization 5, 197-216 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
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Cited in 45 Documents

MSC:

35P15 Estimates of eigenvalues in context of PDEs
35J25 Boundary value problems for second-order elliptic equations
65N15 Error bounds for boundary value problems involving PDEs

Keywords:

homogenization of elliptic eigenvalue problems; homogeneous Dirichlet problem; structure of eigenvalues and eigenvectors; error estimates; coefficients with a periodic structure

Citations:

Zbl 0415.35061
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Full Text: DOI

References:

[1] K. J. Bathe and E. L. Wilson,Numerical Methods in Finite Element Analysis, Prentice Hall, Inc., 1976. · Zbl 0387.65069
[2] A. Bensoussan, J. L. Lions, and G. Papanicolaou,Asymptotic Methods in Periodic Structures, North-Holland, Amsterdam, 1978. · Zbl 0404.35001
[3] J. F. Bourgat and A. Dervieux, Méthode d’homogénéisation des opérateurs à coefficients périodiques: étude des correcteurs provenant du développement asymptotique,Rapport Laboria 278, (1978).
[4] J. F. Bourgat and H. Lanchon, Application of the Homogenization Method to Composite Materials with Periodic Structure,Rapport Laboria N{\(\deg\)} 208, 1976.
[5] R. Courant and Hilbert,Methods of Mathematical Physics, Interscience Publisher, Inc., New York, 1962. · Zbl 0099.29504
[6] E. de Giorgi and S. Spagnolo, Sulla Convergenzia degli integrali dell’ energia per operatori ellitici del 2{\(\deg\)} ordine,Boll. U. Mat. Ital., 8, 391-411, (1973). · Zbl 0274.35002
[7] S. Kesavan, Homogénéisation et Valeurs Propres,C.R.A.S. t.285, Série A, 229-232, (Sep. 77). · Zbl 0364.35003
[8] G. Peters and J. H. Wilkinson, Eigenvalues ofAx=?Bx with Band SymmetricA andB, Computer Journal, 14, pp. 398-404, 1971.
[9] G. Strang and G. J. Fix,An Analysis of the Finite Element Method, Prentice Hall, Inc., 1973. · Zbl 0356.65096
[10] L. Tartar, Cours Peccot, Collège de France, Paris, Feb. 1977.
[11] J. P. Van de Wiele, Thèse de 3ème cycle, Univ. Pariv VI, 1974.
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