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arXiv · 1712.08863

Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem

Wenqing Wang·Xuehai Huang·Kai Tang·Ruiyue Zhou
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Abstract

Two Morley-Wang-Xu element methods with penalty for the fourth order elliptic singular perturbation problem are proposed in this paper, including the interior penalty Morley-Wang-Xu element method and the super penalty Morley-Wang-Xu element method. The key idea in designing these two methods is combining the Morley-Wang-Xu element and penalty formulation for the Laplace operator. Robust a priori error estimates are derived under minimal regularity assumptions on the exact solution by means of some established a posteriori error estimates. Finally, we present some numerical results to demonstrate the theoretical estimates.

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Wenqing Wang, Xuehai Huang, Kai Tang, Ruiyue Zhou. 2017-12-24. Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem. https://arxiv.org/abs/1712.08863

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