Homogenization and a galerkin approximation in three–dimensional beam theory

Abstract

In this work we study the limit relations between a Galerkin approximation method, of the spectral type, for the three–dimensional linearized elasticity model of a multicellular beam, and the respective homogenization process. We show that the choice of the basis functions, of the Galerkin approximation, .commutes with the homogenization process but the same does not hold for the final approximations of the three-dimensional solution

Keywords:

• Homogenization
• elasticity
• Galerkin
• beams

AMS(MOS)::

• 73C40
• 73K05
• 65N30