The dimensional reduction method is investigated for solving boundary value problems of the beam in elasticity on domain Ωd := R × (-d, d) by replacing the problems with systems of equations in ℝ. The basic tool to analyze the dimensional reduction technique for problems in an unbounded domain Ωd is using 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 depend on the smoothness of the data on the faces.
|Number of pages||30|
|Journal||Mathematical Models and Methods in Applied Sciences|
|Publication status||Published - 1999 Apr|
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Applied Mathematics