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
Mots-clés : a posteriori error estimate; system of parabolic equations; finite element method; method of lines
Mots-clés : 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 = {https://geodesic-test.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 - https://geodesic-test.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 https://geodesic-test.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. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1994.134269/
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