Dimensional reduction for the beam in elasticity on a bounded domain

K. M. Liu

doi:10.1016/s0898-1221(99)00320-x

Dimensional reduction for the beam in elasticity on a bounded domain

K. M. Liu

Department of Mathematics

Research output: Contribution to journal › Article

Abstract

The dimensional reduction method is investigated for solving two-dimensionally linear, isotropic elasticity (Δu + (1 + λ/μ)▽▽ · u + ρu = 0) on domain Ω^d := 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 (Ω^d) 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
DOIs	https://doi.org/10.1016/s0898-1221(99)00320-x
Publication status	Published - 2000 Jan

All Science Journal Classification (ASJC) codes

Modelling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/s0898-1221(99)00320-x

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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. https://doi.org/10.1016/s0898-1221(99)00320-x

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