,LINEAR FINITE ELEMENT APPROXIMATIONS FOR THE TIMOSHENKO BEAM AND THE SHALLOW ARCH PROBLEMS

• 作 者: Xiaoliang Cheng Weimin Xue
• 机 构: Department of Mathematics, Zhejiang University, Xixi Campus, Hangzhou 310028, China“,”Department of
• 出 处: 计算数学（英文版）
• 发表日期: 2002年1期
• 关键词: Timoshenko beam Shallow arch Shear dampening Reduced integration.

In this paper we discuss the linear finite element approximations for the Timoshenkobeam and the shallow arch problems with shear danpening and reduced integration. Wederive directly the optimal order error estimates uniformly with the small thickness pa-raneter, without relying on the theory of saddle point problems.