Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method
| Author(s) | Ye, Xiu | |
| Author(s) | Zhang, Shangyou | |
| Date Accessioned | 2022-06-08T18:30:22Z | |
| Date Available | 2022-06-08T18:30:22Z | |
| Publication Date | 2022-04-06 | |
| Description | © Global-Science Press. First published in East Asian Journal on Applied Mathematics in 2022, published by Global Science Press. | en_US |
| Abstract | Novelty of this work is the development of a finite element method using discontinuous Pk element, which has two-order higher convergence rate than the optimal order. The method is used to solve a one-dimensional second order elliptic problem. A totally new approach is developed for error analysis. Superconvergence of order two for the CDG finite element solution is obtained. The Pk solution is lifted to an optimal order Pk+2 solution elementwise. The numerical results confirm the theory. | en_US |
| Citation | Xiu Ye & Shangyou Zhang. (2022). Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method. East Asian Journal on Applied Mathematics. 12. doi:10.4208/eajam.121021.200122 | en_US |
| ISSN | 2079-7370 | |
| URL | https://udspace.udel.edu/handle/19716/30968 | |
| Language | en_US | en_US |
| Publisher | East Asian Journal on Applied Mathematics | en_US |
| Keywords | Finite element | en_US |
| Keywords | conforming DG method | en_US |
| Keywords | stabilizer free | en_US |
| Keywords | super-convergent | en_US |
| Title | Achieving Superconvergence by One-Dimensional Discontinuous Finite Elements: The CDG Method | en_US |
| Type | Article | en_US |
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