@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: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {597--613},
year = {1989},
publisher = {AFCET - Gauthier-Villars},
address = {Paris},
volume = {23},
number = {4},
mrnumber = {1025074},
zbl = {0727.73093},
language = {en},
url = {https://www.numdam.org/item/M2AN_1989__23_4_597_0/}
}
TY - JOUR AU - Geveci, Tunc AU - Christie, Ian TI - The convergence of a Galerkin approximation scheme for an extensible beam JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1989 SP - 597 EP - 613 VL - 23 IS - 4 PB - AFCET - Gauthier-Villars PP - Paris UR - https://www.numdam.org/item/M2AN_1989__23_4_597_0/ LA - en ID - M2AN_1989__23_4_597_0 ER -
%0 Journal Article %A Geveci, Tunc %A Christie, Ian %T The convergence of a Galerkin approximation scheme for an extensible beam %J ESAIM: Modélisation mathématique et analyse numérique %D 1989 %P 597-613 %V 23 %N 4 %I AFCET - Gauthier-Villars %C Paris %U https://www.numdam.org/item/M2AN_1989__23_4_597_0/ %G en %F M2AN_1989__23_4_597_0
Geveci, Tunc; Christie, Ian. The convergence of a Galerkin approximation scheme for an extensible beam. ESAIM: Modélisation mathématique et analyse numérique, Tome 23 (1989) no. 4, pp. 597-613. https://www.numdam.org/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. | Zbl | MR | Numdam
[2] , Initial-boundary value problems for an extensible beam, J. Math. Anal. Appl. 42 (1973), 61-90. | Zbl | MR
[3] & , A Galerkin method for a nonlinear integro-differential wave system, Comp. Meth. Appl. Mech. Eng. 44 (1984), 229-237. | Zbl | MR
[4] & , Methods of Mathematical Physics, Vol. 1, Wiley-Interscience, New York, 1953. | Zbl | MR
[5] , Free vibrations and dynamic buckling of an extensible beam, Math. Anal. Appl. 29 (1970), 443-454. | Zbl | MR
[6] , On the convergence of Galerkin approximation schemes for second-order hyperbolic equations in energy and negative norms, Math. Compt. 42 (1984), 393-415. | Zbl | MR
[7] & , Bifurcation to divergence and flutter in flow-induced oscillations : An infinite dimensional analysis, Automatica 14 (1978), 367-384. | Zbl | MR
[8] , On convergence of the finite element method for the wave equation, SIAM J. Numer. Anal. 22 (1985), 245-249. | Zbl | MR
[9] , Methods for the numerical solution of the nonlinear Schroedinger equation, Math. Compt. 43 (1984), 21-27. | Zbl | MR
[10] & , An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, N.J., 1973. | Zbl | MR
[11] , Negative norm estimates and superconvergence in Galerkin methods for parabolic problems, Math. Compt. 34 (1980), 99-113. | Zbl | MR
[12] , Galerkin Finite Element Methods for Parabolic Problems, Springer lecture Notes in Mathematics v. 1054, Springer-Verlag, Berlin, 1984. | Zbl | MR
[13] , The effect of the axial force on the vibration of hinged bars, J. Appl. Mech, 17 (1950), 35-36. | Zbl | MR





