当前位置: X-MOL 学术Appl. Numer. Math. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Quasi-uniform convergence analysis of rectangular Morley element for the singularly perturbed Bi-wave equation
Applied Numerical Mathematics ( IF 2.2 ) Pub Date : 2021-03-01 , DOI: 10.1016/j.apnum.2020.11.002
Dongyang Shi , Yanmi Wu

Abstract A non- C 0 rectangular Morley element method is discussed to solve the singularly perturbed Bi-wave equation and the penalty terms are included to guarantee convergence. The quasi-uniform convergence rate of order O ( h ) is derived in the energy norm irrelevant to the negative powers of the real perturbation parameter δ appearing in the considered problem, which improves an existing result, here h is the mesh size. Finally, some numerical results are provided to confirm the theoretical analysis.

中文翻译:

奇异摄动双波方程矩形莫雷元的拟均匀收敛分析

摘要 讨论了求解奇异摄动Bi-wave方程的非C 0 矩形Morley元方法,并引入惩罚项以保证收敛。在与所考虑问题中出现的实扰动参数 δ 的负幂无关的能量范数中推导出 O ( h ) 阶的准均匀收敛率,改进了现有结果,其中 h 是网格大小。最后,提供了一些数值结果来证实理论分析。
更新日期:2021-03-01
down
wechat
bug