Geodesic
Grid adjustment based on a posteriori error estimators
Applications of Mathematics, Tome 38 (1993) no. 6, pp. 488-504.

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The adjustment of one-dimensional space grid for a parabolic partial differential equation solved by the finite element method of lines is considered in the paper. In particular, the approach based on a posteriori error indicators and error estimators is studied. A statement on the rate of convergence of the approximation of error by estimator to the error in the case of a system of parabolic equations is presented.
DOI : 10.21136/AM.1993.104571
Classification : 35K15, 65M15, 65M20, 65M50, 65M60
Mots-clés : grid adjustment; principle of equidistribution of monitor; a posteriori error estimate; parabolic equation; finite element method; method of lines 
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     author = {Segeth, Karel},
     title = {Grid adjustment based on a posteriori error estimators},
     journal = {Applications of Mathematics},
     pages = {488--504},
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     zbl = {0797.65068},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1993.104571/}
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Segeth, Karel. Grid adjustment based on a posteriori error estimators. Applications of Mathematics, Tome 38 (1993) no. 6, pp. 488-504. doi : 10.21136/AM.1993.104571. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1993.104571/

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