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http://bura.brunel.ac.uk/handle/2438/17073| Title: | Quasi-optimal degree distribution for a quadratic programming problem arising from the p-version finite element method for a one-dimensional obstacle problem |
| Authors: | Maischak, M Krebs, A Stephan, EP |
| Keywords: | quadratic programming;finite dimensional approximation;obstacle problem;p-version |
| Issue Date: | 2013 |
| Publisher: | Elsevier |
| Citation: | Discrete Applied Mathematics, 2014, 164 (1), pp. 200 - 209 |
| Abstract: | We present a quadratic programming problem arising from the p-version for a finite element method with an obstacle condition prescribed in Gauss-Lobatto points. We show convergence of the approximate solution to the exact solution in the energy norm. We show an a-priori error estimate and derive an a-posteriori error estimate based on bubble functions which is used in an adaptive p-version. Numerical examples show the superiority of the p-version compared with the h-version. © 2013 Elsevier B.V. All rights reserved. |
| URI: | https://bura.brunel.ac.uk/handle/2438/17073 |
| DOI: | https://doi.org/10.1016/j.dam.2013.08.040 |
| ISSN: | 0166-218X |
| Appears in Collections: | Dept of Mathematics Research Papers |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Fulltext.pdf | 454.77 kB | Adobe PDF | View/Open |
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