| Title:
|
Verification of functional a posteriori error estimates for obstacle problem in 1D (English) |
| Author:
|
Harasim, Petr |
| Author:
|
Valdman, Jan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
49 |
| Issue:
|
5 |
| Year:
|
2013 |
| Pages:
|
738-754 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
obstacle problem |
| Keyword:
|
a posteriori error estimate |
| Keyword:
|
functional majorant |
| Keyword:
|
finite element method |
| Keyword:
|
variational inequalities |
| Keyword:
|
Uzawa algorithm |
| MSC:
|
34B15 |
| MSC:
|
49J40 |
| MSC:
|
49M25 |
| MSC:
|
65K15 |
| MSC:
|
65L60 |
| MSC:
|
74K05 |
| MSC:
|
74M15 |
| MSC:
|
74S05 |
| idZBL:
|
Zbl 1278.49035 |
| idMR:
|
MR3182637 |
| . |
| Date available:
|
2013-11-27T09:49:49Z |
| Last updated:
|
2015-03-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143522 |
| . |
| Reference:
|
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