Dimensional reduction for the beam in elasticity on a bounded domain

被引：0
|
作者：
Liu, KM [1 ]
机构：
[1] Natl Changhwa Univ Educ, Dept Math, Changhwa 50058, Taiwan
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 39卷 / 1-2期
关键词：
dimensional reduction; inf-sup conditions; modelling error;
D O I：
10.1016/S0898-1221(99)00320-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dimensional reduction method is investigated for solving two-dimensionally linear, isotropic elasticity (Delta u + (1 + lambda/mu)del del . u + rho u = 0) on domain Omega(d) := Omega x (-d, d) subset of R-2 by semidiscretization techniques in the transverse direction, where rho > 0 and n = (-a, a). The modelling error between the exact solution u and the dimensionally reduced solution u(n) in E-1(Omega(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. (C) 1999 Elsevier Science Ltd. All rights reserved.
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页码：145 / 168
页数：24
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