A new robust C-0-type nonconforming triangular element for singular perturbation problems

作者：Xie, Pingli^*; Shi, Dongyang; Li, Hua

来源：Applied Mathematics and Computation, 2010, 217(8): 3832-3843.

DOI：10.1016/j.amc.2010.09.042

• Double set parameter
• Singular perturbation
• Nonconforming
• Bubble function

In this paper, a new robust C-0 triangular element is proposed for the fourth order elliptic singular perturbation problem with double set parameter method and bubble function technique, and a general convergence theorem for C-0 nonconforming elements is presented. The convergence of the new element is proved in the energy norm uniformly with respect to the perturbation parameter. Numerical experiments are also carried out to demonstrate the efficiency of the new element.

• 出版日期2010-12-15
• 单位河南工业大学; 复旦大学; 郑州大学