THE QUADRATIC SPECHT TRIANGLE

• 来源期刊: 计算数学（英文版）
• 关键词: Specht triangle Plate bending element Basis functions
• 年，卷（期）: 2020,（1）
• 页码范围: 103-124
• 页数: 22页
• 语种: 英文
• DOI: 10.4208/jcm.1905-m2018-0195

摘要

We propose a class of 12 degrees of freedom triangular plate bending elements with quadratic rate of convergence.They may be viewed as the second order Specht triangle,while the Specht triangle is one of the best first order plate bending element.The convergence result is proved under minimal smoothness assumption on the solution.Numerical results for both the smooth solution and nonsmmoth solution confirm the theoretical prediction.