Geodesic
Error bounds for controllable adaptive algorithms based on a Hessian recovery
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 8, pp. 1424-1434 
Yu. V. Vassilevski; K. N. Lipnikov. Error bounds for controllable adaptive algorithms based on a Hessian recovery. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 45 (2005) no. 8, pp. 1424-1434. http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a7/
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     author = {Yu. V. Vassilevski and K. N. Lipnikov},
     title = {Error bounds for controllable adaptive algorithms based on a {Hessian} recovery},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1424--1434},
     year = {2005},
     volume = {45},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

One of the main goals of adaptive algorithms for unstructured mesh generation is to obtain a better discretization error with the use of the least possible number of mesh cells. For many problems, the discretization error can be bounded above by the interpolation error. The main goal of this paper is to analyze the interpolation error for controllable adaptive algorithms based on a Hessian recovery.

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