Uniformly stable rectangular elements for fourth order elliptic singular perturbation problems

作者：Wang Li; Wu Yongke; Xie Xiaoping^*

来源：Numerical Methods for Partial Differential Equations, 2013, 29(3): 721-737.

DOI：10.1002/num.21723

• fourth order elliptic problems
• rectangular Morley element
• singular perturbation

In this article, we consider rectangular finite element methods for fourth order elliptic singular perturbation problems. We show that the non- C0 rectangular Morley element is uniformly convergent in the energy norm with respect to the perturbation parameter. We also propose a C0 extended high order rectangular Morley element and prove the uniform convergence. Finally, we do some numerical experiments to confirm the theoretical results.

• 出版日期2013-5
• 单位四川大学