Dimensional reduction for the plate in elasticity on an unbounded domain
The dimensional reduction method is investigated for solving boundary value problems of the plate in elasticity on domain Omega(d) := R-2 x (-d, d) by replacing the problems with systems of equations in R-2. The basic tool to analyze the dimensional reduction technique for problems on an unbounded domain nd is the use of Fourier-transformation. The error estimates between the exact solution and the dimensionally reduced solution in a Hilbert space are obtained when d and N are given. The rates of convergence depends on the smoothness of the data on the faces. (C) 1999 Elsevier Science Ltd. All rights reserved.
dimensional reduction inf-sup conditions modelling error