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.
@article{118714,
author = {Juraj Weisz},
title = {On a method for a-posteriori error estimation of approximate solutions to parabolic problems},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {35},
year = {1994},
pages = {735-740},
zbl = {0822.65067},
mrnumber = {1321243},
language = {en},
url = {http://dml.mathdoc.fr/item/118714}
}
Weisz, Juraj. On a method for a-posteriori error estimation of approximate solutions to parabolic problems. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 735-740. http://gdmltest.u-ga.fr/item/118714/
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