| dc.contributor.author | Simos, T.E. | cze |
| dc.contributor.author | Harasim, P. | cze |
| dc.contributor.author | Tsitouras, C. | cze |
| dc.contributor.author | Valdman, Jan | cze |
| dc.date.accessioned | 2021-01-18T10:05:13Z | |
| dc.date.available | 2021-01-18T10:05:13Z | |
| dc.date.issued | 2015 | eng |
| dc.identifier.isbn | 978-0-7354-1287-3 | eng |
| dc.identifier.issn | 0094-243X | eng |
| dc.identifier.uri | https://dspace.jcu.cz/handle/123456789/148 | |
| dc.description.abstract | We verify functional a posteriori error estimate proposed by S. Repin for an obstacle problem. A new benchmark with known analytical solution in 2D is constructed. Numerical approximation is obtained by the finite element method using bilinear elements on a rectangular mesh. Error of the approximation is measured in the energy norm and bounded from above by a functional majorant. Numerical tests provide sharp quality of the studied error estimate. | eng |
| dc.format | p. "850042-1–850042-4" | eng |
| dc.language.iso | eng | eng |
| dc.publisher | American Institute of Physics | eng |
| dc.relation.ispartof | PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) | eng |
| dc.subject | a posteriori error estimate | eng |
| dc.subject | finite element method | eng |
| dc.subject | functional majorant | eng |
| dc.subject | obstacle problem | eng |
| dc.subject | Raviart-Thomas elements | eng |
| dc.title | Verification of functional a posteriori error estimates for an obstacle problem | eng |
| dc.type | ConferenceObject | eng |
| dc.identifier.obd | 43878707 | eng |
| dc.peerreviewed | yes | eng |
| dc.publicationstatus | postprint | eng |
| dc.identifier.doi | 10.1063/1.4913097 | eng |
| dc.event | International Conference on Numerical Analysis and Applied Mathematics (ICNAAM) (22.08.2014 - 28.08.2014, Rhodes, GREECE) | eng |
