| Title:
|
Fully discrete error estimation by the method of lines for a nonlinear parabolic problem (English) |
| Author:
|
Vejchodský, Tomáš |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2003 |
| Pages:
|
129-151 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A posteriori error estimates for a nonlinear parabolic problem are introduced. A fully discrete scheme is studied. The space discretization is based on a concept of hierarchical finite element basis functions. The time discretization is done using singly implicit Runge-Kutta method (SIRK). The convergence of the effectivity index is proven. (English) |
| Keyword:
|
a posteriori error estimates |
| Keyword:
|
finite elements |
| Keyword:
|
nonlinear parabolic problems |
| Keyword:
|
effectivity index |
| Keyword:
|
singly implicit Runge-Kutta methods (SIRK) |
| MSC:
|
65L06 |
| MSC:
|
65M15 |
| MSC:
|
65M20 |
| MSC:
|
65M60 |
| idZBL:
|
Zbl 1099.65091 |
| idMR:
|
MR1966345 |
| DOI:
|
10.1023/A:1026094127440 |
| . |
| Date available:
|
2009-09-22T18:12:59Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134523 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
