A CANONICAL CONSTRUCTION OF H^m-NONCONFORMING TRIANGULAR FINITE ELEMENTS

• 作者: Jun Hu Shangyou Zhang
• 来源期刊: 应用数学年刊：英文版
• 学科: 物理学
• 年，卷（期）: 2017,（3）
• 页码范围: 266-288
• 页数: 23页
• 分类号: O4

摘要

We design a family of 2D H~m-nonconforming finite elements using the full P_(2m-3) degree polynomial space, for solving 2 mth elliptic partial differential equations. The consistent error is estimated and the optimal order of convergence is proved. Numerical tests on the new elements for solving tri-harmonic,4-harmonic, 5-harmonic and 6-harmonic equations are presented, to verify the theory.