Geodesic
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 
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     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},
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     zbl = {0822.65068},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134269/}
}
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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. http://geodesic.mathdoc.fr/articles/10.21136/AM.1994.134269/

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