| dc.contributor.author | Harasim, Petr | |
| dc.contributor.author | Valdman, Jan | |
| dc.date.accessioned | 2014-02-10T11:29:11Z | |
| dc.date.available | 2014-02-10T11:29:11Z | |
| dc.date.issued | 2013 | |
| dc.identifier.citation | Kybernetika. 2013, vol. 49, no. 5, p. 738-754. | cs |
| dc.identifier.issn | 0023-5954 | |
| dc.identifier.uri | http://hdl.handle.net/10084/101683 | |
| dc.description.abstract | We verify functional a posteriori error estimate for obstacle problem proposed by Repin.
Simplification into 1D allows for the construction of a nonlinear benchmark for which an exact
solution of the obstacle problem can be derived. Quality of a numerical approximation obtained
by the finite element method is compared with the exact solution and the error of approximation
is bounded from above by a majorant error estimate. The sharpness of the majorant error
estimate is discussed. | cs |
| dc.format.extent | 531624 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | cs |
| dc.publisher | Akademie věd České republiky. Ústav teorie informace a automatizace | cs |
| dc.relation.ispartofseries | Kybernetika | cs |
| dc.relation.uri | http://www.kybernetika.cz/content/2013/5/738/paper.pdf | cs |
| dc.subject | obstacle problem | cs |
| dc.subject | a posteriori error estimate | cs |
| dc.subject | functional majorant | cs |
| dc.subject | finite element method | cs |
| dc.subject | variational inequalities | cs |
| dc.subject | Uzawa algorithm | cs |
| dc.title | Verification of functional a posteriori error estimates for obstacle problem in 1D | cs |
| dc.type | article | cs |
| dc.rights.access | openAccess | |
| dc.type.version | publishedVersion | cs |
| dc.type.status | Peer-reviewed | cs |
| dc.description.source | Web of Science | cs |
| dc.description.volume | 49 | cs |
| dc.description.issue | 5 | cs |
| dc.description.lastpage | 754 | cs |
| dc.description.firstpage | 738 | cs |
| dc.identifier.wos | 000328665200005 | |