| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4626292 | Applied Mathematics and Computation | 2015 | 12 Pages |
Abstract
We propose and analyze the finite volume element method for solving the Signorini problem. The stability and the optimal H1-convergence rate are given. Particularly, we establish a superclose interpolation estimate for the bilinear form of this method. Based on this estimate and the interpolation post-processing technique, we derive an O(h32)-order superconvergence in the H1-norm under a proper regularity condition. Finally, an asymptotically exact a posteriori error estimator also is given for the error ∥u−uh∥1∥u−uh∥1.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Tie Zhang, Zheng Li,