| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4638929 | Journal of Computational and Applied Mathematics | 2014 | 16 Pages |
Abstract
In this work, we present and analyze a pp-version finite volume method (FVM) for elliptic problems in the one dimensional setting. Under some regularity assumptions of the exact solution, it is shown that the pp-version FV solution converges with exponential rates under H1,L2H1,L2 and L∞L∞-norms. Superconvergence properties at nodal, Lobatto and Gauss points have been also discussed. Numerical results are presented to support our theoretical findings.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Waixiang Cao, Zhimin Zhang, Qingsong Zou,