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

Wenqing Wang and Xuehai Huang and Kai Tang and Ruiyue Zhou
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
more » ... ome established a posteriori error estimates. Finally, we present some numerical results to demonstrate the theoretical estimates.
arXiv:1712.08863v2 fatcat:ah6l5sqicbguzhpavnemw2wtgi