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
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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.
@article{ZVMMF_2005_45_8_a7,
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},
publisher = {mathdoc},
volume = {45},
number = {8},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a7/}
}
TY - JOUR AU - Yu. V. Vassilevski AU - K. N. Lipnikov TI - Error bounds for controllable adaptive algorithms based on a Hessian recovery JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2005 SP - 1424 EP - 1434 VL - 45 IS - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a7/ LA - ru ID - ZVMMF_2005_45_8_a7 ER -
%0 Journal Article %A Yu. V. Vassilevski %A K. N. Lipnikov %T Error bounds for controllable adaptive algorithms based on a Hessian recovery %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2005 %P 1424-1434 %V 45 %N 8 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2005_45_8_a7/ %G ru %F ZVMMF_2005_45_8_a7
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/