Abstract
The dimensional reduction method is investigated for solving two-dimensionally linear, isotropic elasticity (Δu + (1 + λ/μ)▽▽ · u + ρu = 0) on domain Ωd := Ω × (-d, d) ⊂ ℝ2 by semidiscretization techniques in the transverse direction, where ρ > 0 and Ω = (-a, a). The modelling error between the exact solution u and the dimensionally reduced solution un in E1 (Ωd) is precisely obtained as d and n are fixed, where the norm ∥ · ∥E1 is equivalent to the usual norm ∥ · ∥H1. Numerical examples are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 145-168 |
| Number of pages | 24 |
| Journal | Computers and Mathematics with Applications |
| Volume | 39 |
| Issue number | 1-2 |
| Publication status | Published - 2000 Jan 1 |
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All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Computational Theory and Mathematics
- Computational Mathematics
Cite this
Liu, K-M. (2000). Dimensional reduction for the beam in elasticity on a bounded domain. Computers and Mathematics with Applications, 39(1-2), 145-168.