A posteriori error estimates for parabolic differential systems solved by the finite element method of lines
Applications of Mathematics, Tome 39 (1994) no. 6, pp. 415-443
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Systems of parabolic differential equations are studied in the paper. Two a posteriori error estimates for the approximate solution obtained by the finite element method of lines are presented. A statement on the rate of convergence of the approximation of error by estimator to the error is proved.
DOI :
10.21136/AM.1994.134269
Classification :
35K15, 65M15, 65M20
Keywords: a posteriori error estimate; system of parabolic equations; finite element method; method of lines
Keywords: a posteriori error estimate; system of parabolic equations; finite element method; method of lines
@article{10_21136_AM_1994_134269,
author = {Segeth, Karel},
title = {A posteriori error estimates for parabolic differential systems solved by the finite element method of lines},
journal = {Applications of Mathematics},
pages = {415--443},
publisher = {mathdoc},
volume = {39},
number = {6},
year = {1994},
doi = {10.21136/AM.1994.134269},
mrnumber = {1298731},
zbl = {0822.65068},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134269/}
}
TY - JOUR AU - Segeth, Karel TI - A posteriori error estimates for parabolic differential systems solved by the finite element method of lines JO - Applications of Mathematics PY - 1994 SP - 415 EP - 443 VL - 39 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134269/ DO - 10.21136/AM.1994.134269 LA - en ID - 10_21136_AM_1994_134269 ER -
%0 Journal Article %A Segeth, Karel %T A posteriori error estimates for parabolic differential systems solved by the finite element method of lines %J Applications of Mathematics %D 1994 %P 415-443 %V 39 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134269/ %R 10.21136/AM.1994.134269 %G en %F 10_21136_AM_1994_134269
Segeth, Karel. A posteriori error estimates for parabolic differential systems solved by the finite element method of lines. Applications of Mathematics, Tome 39 (1994) no. 6, pp. 415-443. doi: 10.21136/AM.1994.134269
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