@article{M2AN_1989__23_4_597_0,
author = {Geveci, Tunc and Christie, Ian},
title = {The convergence of a Galerkin approximation scheme for an extensible beam},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {23},
year = {1989},
pages = {597-613},
mrnumber = {1025074},
zbl = {0727.73093},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1989__23_4_597_0}
}
Geveci, Tunc; Christie, Ian. The convergence of a Galerkin approximation scheme for an extensible beam. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 23 (1989) pp. 597-613. http://gdmltest.u-ga.fr/item/M2AN_1989__23_4_597_0/
[1] & , Semidiscrete and single step fully discrete approximations for second order hyperbolic equations, RAIRO Anal. Numer. 13 (1979), 75-100. | Numdam | MR 533876 | Zbl 0405.65057
[2] , Initial-boundary value problems for an extensible beam, J. Math. Anal. Appl. 42 (1973), 61-90. | MR 319440 | Zbl 0254.73042
[3] & , A Galerkin method for a nonlinear integro-differential wave system, Comp. Meth. Appl. Mech. Eng. 44 (1984), 229-237. | MR 757058 | Zbl 0525.73089
[4] & , Methods of Mathematical Physics, Vol. 1, Wiley-Interscience, New York, 1953. | MR 65391 | Zbl 0051.28802
[5] , Free vibrations and dynamic buckling of an extensible beam, Math. Anal. Appl. 29 (1970), 443-454. | MR 253617 | Zbl 0187.04803
[6] , On the convergence of Galerkin approximation schemes for second-order hyperbolic equations in energy and negative norms, Math. Compt. 42 (1984), 393-415. | MR 736443 | Zbl 0553.65082
[7] & , Bifurcation to divergence and flutter in flow-induced oscillations : An infinite dimensional analysis, Automatica 14 (1978), 367-384. | MR 495662 | Zbl 0385.93028
[8] , On convergence of the finite element method for the wave equation, SIAM J. Numer. Anal. 22 (1985), 245-249. | MR 781318 | Zbl 0575.65091
[9] , Methods for the numerical solution of the nonlinear Schroedinger equation, Math. Compt. 43 (1984), 21-27. | MR 744922 | Zbl 0555.65061
[10] & , An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, N.J., 1973. | MR 443377 | Zbl 0356.65096
[11] , Negative norm estimates and superconvergence in Galerkin methods for parabolic problems, Math. Compt. 34 (1980), 99-113. | MR 551292 | Zbl 0454.65077
[12] , Galerkin Finite Element Methods for Parabolic Problems, Springer lecture Notes in Mathematics v. 1054, Springer-Verlag, Berlin, 1984. | MR 744045 | Zbl 0528.65052
[13] , The effect of the axial force on the vibration of hinged bars, J. Appl. Mech, 17 (1950), 35-36. | MR 34202 | Zbl 0036.13302