| Title:
|
On a method for a-posteriori error estimation of approximate solutions to parabolic problems (English) |
| Author:
|
Weisz, J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
735-740 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of the paper is to derive a method for the construction of a-posteriori error estimate to approximate solutions to parabolic initial-boundary value problems. The computation of the suggested error bound requires only the computation of a finite number of systems or linear algebraic equations. These systems can be solved parallelly. It is proved that the suggested a-posteriori error estimate tends to zero if the approximation tends to the true solution. (English) |
| Keyword:
|
parabolic problem |
| Keyword:
|
a-posteriori error estimate |
| MSC:
|
35K15 |
| MSC:
|
65M15 |
| MSC:
|
65M20 |
| idZBL:
|
Zbl 0822.65067 |
| idMR:
|
MR1321243 |
| . |
| Date available:
|
2009-01-08T18:14:46Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118714 |
| . |
| Reference:
|
[1] Eriksson K., Johnson C.: Adaptive finite element methods for parabolic problems I: A linear model problem.SIAM J. Numer. Anal. 28 (1991), 43-77. Zbl 0732.65093, MR 1083324 |
| Reference:
|
[2] Gajewski H., Gröger K.: Konjugierte Probleme und a-posteriori Fehlerabschätzungen,.Math. Nachrichten 73 (1976), 315-333. MR 0435959 |
| Reference:
|
[3] Gajewski H., Gröger K., Zacharias K.: Nichtlineare Operatorgleichungen und Operatordifferentialgleichungen.Akademie -Verlag Berlin, 1974 (Russian Mir Moskva 1978). MR 0636412 |
| Reference:
|
[4] Weisz J.: A posteriori error estimate of approximate solutions to a mildly nonlinear elliptic boundary value problem.Commentationes Math. Univ. Carolinae 31 (1990), 315-322. Zbl 0709.65074, MR 1077902 |
| . |
