Matematičeskoe modelirovanie, Tome 13 (2001) no. 5, pp. 11-28
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K. L. Bogomolov; L. M. Degtyarev; V. F. Tishkin. A variational method for generation of high aspect-ratio regular adaptive grids. Matematičeskoe modelirovanie, Tome 13 (2001) no. 5, pp. 11-28. http://geodesic.mathdoc.fr/item/MM_2001_13_5_a1/
@article{MM_2001_13_5_a1,
author = {K. L. Bogomolov and L. M. Degtyarev and V. F. Tishkin},
title = {A~variational method for generation of high aspect-ratio regular adaptive grids},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {11--28},
year = {2001},
volume = {13},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2001_13_5_a1/}
}
TY - JOUR
AU - K. L. Bogomolov
AU - L. M. Degtyarev
AU - V. F. Tishkin
TI - A variational method for generation of high aspect-ratio regular adaptive grids
JO - Matematičeskoe modelirovanie
PY - 2001
SP - 11
EP - 28
VL - 13
IS - 5
UR - http://geodesic.mathdoc.fr/item/MM_2001_13_5_a1/
LA - ru
ID - MM_2001_13_5_a1
ER -
%0 Journal Article
%A K. L. Bogomolov
%A L. M. Degtyarev
%A V. F. Tishkin
%T A variational method for generation of high aspect-ratio regular adaptive grids
%J Matematičeskoe modelirovanie
%D 2001
%P 11-28
%V 13
%N 5
%U http://geodesic.mathdoc.fr/item/MM_2001_13_5_a1/
%G ru
%F MM_2001_13_5_a1
A method for generation of 2D adaptive quadrilateral grids is presented. The resulting grid contains near-orthogonal cells that are strongly stretched along control function's singularities. The generation is performed by a variational method using a combination of grid's orthogonality and adaptivity functionals. Metric used in the adaptivity functional allows to produce both high aspect-ratio quadrilaterals along the control function's discontinuity lines and adaptation in all directions at other areas of singularity.
