This paper analyzes rectangular finite element methods for fourth orderelliptic singular perturbation problems. We show that the non-$C^0$ rectangularMorley element is uniformly convergent in the energy norm with respect to theperturbation parameter. We also propose a $C^0$ extended high order rectangularMorley element and prove the uniform convergence. Finally, we do some numericalexperiments to confirm the theoretical results.
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机译：本文分析了四阶椭圆奇异摄动问题的矩形有限元方法。我们证明，相对于扰动参数，非$ C ^ 0 $ squareMorley元素在能量范数上均匀收敛。我们还提出了$ C ^ 0 $扩展高阶矩形Morley元素，证明了均匀收敛性。最后，我们做了一些数值实验，以验证理论结果。
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