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
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},
     year = {1999},
     volume = {8},
     zbl = {0934.65122},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__8__a6/}
}
TY  - JOUR
AU  - Dobrowolski,  Manfred
AU  - Gräf,  Steffen
AU  - Pflaum,  Christoph
TI  - On a posteriori error estimators in the infinite element method on anisotropic meshes
JO  - Electronic transactions on numerical analysis
PY  - 1999
SP  - 36
EP  - 45
VL  - 8
UR  - http://geodesic.mathdoc.fr/item/ETNA_1999__8__a6/
LA  - en
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ER  - 
%0 Journal Article
%A Dobrowolski,  Manfred
%A Gräf,  Steffen
%A Pflaum,  Christoph
%T On a posteriori error estimators in the infinite element method on anisotropic meshes
%J Electronic transactions on numerical analysis
%D 1999
%P 36-45
%V 8
%U http://geodesic.mathdoc.fr/item/ETNA_1999__8__a6/
%G en
%F ETNA_1999__8__a6
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/