no. 3
A Galerkin spectral approximation in linearized beam theory
ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 3, pp. 425-446. 
@article{M2AN_1992__26_3_425_0,
     author = {Miara, B. and Trabucho, L.},
     title = {A {Galerkin} spectral approximation in linearized beam theory},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
     pages = {425--446},
     publisher = {AFCET - Gauthier-Villars},
     address = {Paris},
     volume = {26},
     number = {3},
     year = {1992},
     mrnumber = {1160134},
     zbl = {0754.73095},
     language = {en},
     url = {http://www.numdam.org/item/M2AN_1992__26_3_425_0/}
}
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Miara, B.; Trabucho, L. A Galerkin spectral approximation in linearized beam theory. ESAIM: Modélisation mathématique et analyse numérique, Tome 26 (1992) no. 3, pp. 425-446. http://www.numdam.org/item/M2AN_1992__26_3_425_0/

I. Aganovič, Z. Tutek [ 1987], A justification of the one dimensional model of elastic beam Math. Methods Appl. Sci., 8, pp. 1-14. | MR | Zbl

A. Bermudez, J. Viaño [ 1984], Une justification des équations de la thermoélasticité des poutres à section variable. RAIRO Model. Math. Anal. Numér., 18, pp. 347-376. | Numdam | MR | Zbl

P. G. Ciarlet [ 1988], Mathematical Elasticity, Vol I : Three-Dimensional Elasticity, North-Holland, Amsterdam. | MR | Zbl

P. G. Ciarlet, P. Destuynder [ 1979a], A justification of the two-dimensional linear plate model J. de Mécanique, 18, pp. 315-344. | MR | Zbl

P. G. Ciarlet, P. Destuynder [ 1979b], A justification of a nonlinear model in plate theory Comput. Methods Appl. Mech. Engrg., 17/18, pp. 227-258. | Zbl

M. L. Mascarenhas, L. Trabucho [ 1990], Homogenization and Galerkin approximation in beam theories (to appear). | MR | Zbl

B. Miara [ 1989], Optimal spectral approximation in linearized plate theory Appl. Anal., 31, pp. 291-307. | MR | Zbl

J. Nečas [ 1989], Les Méthodes Directes en Théorie des Equations Elliptiques. Masson, Paris.

L. Trabucho, J. Viaño [ 1987], Derivation of generalized models for linear elastic beams by asymptotic expansion methods In Applications of Multiple Scalings in Mechanics (P. G. Ciarlet and E. Sanchez-Palencia, Ed.), Masson, 302-315. | MR | Zbl

L. Trabucho, J Viaño [ 1988a], A derivation of generalized Saint Venant's torsion theory from three-dimensional elasticity by asymptotic expansion methods Appl. Anal. 13, 129-148. | MR | Zbl

L. Trabucho, J. Viaño [ 1988b], A new approach of Timoshenko's beam theory by asymptotic expansion methods RAIRO Modél Math Anal. Num (to appear). | Numdam | MR | Zbl

L. Trabucho, J. Viaño [ 1989], Existence and characterization of higher order terms in an asymptotic expansion method for linearized elastic beams Asymptotic Anal. 2, 223-255. | MR | Zbl

M. Vogelius, I. Babuška [ 1981], On a dimensional reduction method I The optimal selection of basis functions Math. Comp., 37, 31-46. | MR | Zbl