Approximation of eigenvalues of differential equations with non-smooth coefficients
Banerjee, Uday
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988), p. 29-51 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU)
Publié le : 1988-01-01
@article{M2AN_1988__22_1_29_0,
     author = {Banerjee, Uday},
     title = {Approximation of eigenvalues of differential equations with non-smooth coefficients},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {22},
     year = {1988},
     pages = {29-51},
     mrnumber = {934700},
     zbl = {0639.65051},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_1988__22_1_29_0}
}

Banerjee, Uday. Approximation of eigenvalues of differential equations with non-smooth coefficients. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 22 (1988) pp. 29-51. http://gdmltest.u-ga.fr/item/M2AN_1988__22_1_29_0/

[1] R. S. Anderssen, J. R. Cleary, Asymptotic Structure in Torsional Free Oscillations of Earth I. Geophys. J. R. Astr. Soc., 39, 1974, 241-268. | Zbl 0365.73095

[2] I. Babuska, J. E. Osborn, Numerical Treatment of Eigenvalue Problems for Differential Equations with Discontinuons Coefficients. Math. Comp., 32, 1978, 991-1023. | MR 501962 | Zbl 0418.65053

[3] I Babuska, J. E. Osborn, Analysis of Finite Element Methods for Second Order Boundary Value Problems using Mesh Dependent Norms. Numer. Math., 34, 1980, 41-62. | MR 560793 | Zbl 0404.65055

[4] I. Babuska, J. E. Osborn, Generalized Finite Element Methods : Their Performance and Their Relation to Mixed Methods. SIAM J. Numer. Anal., 20, 1983, 510-536. | MR 701094 | Zbl 0528.65046

[5] U. Banerjee, Lower Norm Error Estimates for Approximate Solutions of Differential Equations with Non-Smooth Coefficients. Numer. Math, 51, 1987,303-321. | MR 895089 | Zbl 0613.65087

[6] U. Banerjee, Approximation of Eigenvalues of Differential Equations with Rough Coefficients. Ph. D. thesis, 1985, Univ. of Md., College Park, MD 20742.

[7] J. H. Bramble, J. E. Osborn, Rate of Convergence Estimate for Non-Selfadjoint Eigenvalue Approximations. Math. Comp., 27, 1973, 523-549. | MR 366029 | Zbl 0305.65064

[8] F. Chatelin, Spectral Approximation of Linear Operators, Academia Press, 1983. | MR 716134 | Zbl 0517.65036

[9] R. S. Falk, J. E. Osborn, Error Estimates for Mixed Methods, R.A.I.R.O. Numer. Anal. 14, 1980, 249-277. | Numdam | MR 592753 | Zbl 0467.65062

[10] S. K. Garg, V. Svalbonas and G. A. Gurtman, Analysis of structural Composite Materials, Marcel Dekker, NY, 1973.

[11] E. R. Lapwood, The Effect of Discontinuities in Density and Rigidity on Torsional Eigenfrequencies. Geophys. J. R. Astr. Soc., 1975, 40, 453-464. | Zbl 0297.73064

[12] S. Nemat-Nasser, General Variational Methods for Elastic Waves in Composities. J. Elasticity, 2, 1972, 73-90.

[13] S. Nemat-Nasser, General Variational Principles in Nonlinear and Linear Elasticity with Applications. Mechanics Today, 1, 1974, 214-261. | Zbl 0305.73007

[14] S. Nemat-Nasser, F. Fu, Harmonic Waves in Layered Composites ; Bounds on Eigenfrequencies, J. Appl. Mech., 41, 1974, 288-290. | Zbl 0296.73025

[15] J. R. Osborn, Spectral Approximation of Compact Operators. Math. Comp., 29, 1975, 712-725. | MR 383117 | Zbl 0315.35068