학술논문
Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem
Document Type
Original Paper
Author
Source
Advances in Computational Mathematics: Modelling in Science and Engineering. 44(4):1041-1061
Subject
Language
English
ISSN
1019-7168
1572-9044
1572-9044
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.