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：

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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。