Geodesic
On a posteriori error estimators in the infinite element method on anisotropic meshes
Electronic transactions on numerical analysis, Tome 8 (1999), pp. 36-45.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: On anisotropic finite element meshes, the standard residual based error indicator is derived and it is proved that it is not efficient if the aspect ratio deteriorates. For a nonlocal error indicator it is proved that it is reliable and efficient independent of the aspect ratio. This is also confirmed by some numerical calculations.
Classification : 65N30, 65N15
Keywords: finite elements, a posteriori estimators, anisotropic meshes 
@article{ETNA_1999__8__a6,
     author = {Dobrowolski, Manfred and Gr\"af, Steffen and Pflaum, Christoph},
     title = {On a posteriori error estimators in the infinite element method on anisotropic meshes},
     journal = {Electronic transactions on numerical analysis},
     pages = {36--45},
     publisher = {mathdoc},
     volume = {8},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__8__a6/}
}
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Dobrowolski, Manfred; Gräf, Steffen; Pflaum, Christoph. On a posteriori error estimators in the infinite element method on anisotropic meshes. Electronic transactions on numerical analysis, Tome 8 (1999), pp. 36-45. http://geodesic.mathdoc.fr/item/ETNA_1999__8__a6/