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Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem
[article]
2018
arXiv
pre-print
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
arXiv:1712.08863v2
fatcat:ah6l5sqicbguzhpavnemw2wtgi