Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471738 | Applied Mathematics Letters | 2017 | 8 Pages |
Abstract
A nonconforming finite element method (FEM for short) is proposed and analyzed for a plate contact problem by employing the Bergan's energy-orthogonal plate element. Because the shape function and its first derivatives of this element are discontinuous at the element's vertices, which is quite different from the conventional finite elements used in the existing literature, some novel approaches, including interpolation operator splitting and energy orthogonality, are developed to present a new error analysis for deriving an optimal estimate of order O(h). At last, some numerical results are also provided to confirm the theoretical analysis.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Lifang Pei, Dongyang Shi,