Geodesic
On a method for a-posteriori error estimation of approximate solutions to parabolic problems
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 735-740 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
Classification : 35K15, 65M15, 65M20
Keywords: parabolic problem; a-posteriori error estimate 
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     author = {Weisz, J.},
     title = {On a method for a-posteriori error estimation of approximate solutions to parabolic problems},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {735--740},
     year = {1994},
     volume = {35},
     number = {4},
     mrnumber = {1321243},
     zbl = {0822.65067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1994_35_4_a13/}
}
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Weisz, J. On a method for a-posteriori error estimation of approximate solutions to parabolic problems. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) no. 4, pp. 735-740. http://geodesic.mathdoc.fr/item/CMUC_1994_35_4_a13/