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Matematicheskoe modelirovanie, 2001, Volume 13, Number 5, Pages 11–28 (Mi mm711)  
A variational method for generation of high aspect-ratio regular adaptive grids

K. L. Bogomolova, L. M. Degtyarevb, V. F. Tishkinc

a M. V. Lomonosov Moscow State University
b M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
c Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (1832 kB)
Abstract: 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.
Received: 03.02.2000
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Language: Russian
Citation: K. L. Bogomolov, L. M. Degtyarev, V. F. Tishkin, “A variational method for generation of high aspect-ratio regular adaptive grids”, Matem. Mod., 13:5 (2001), 11–28
Citation in format AMSBIB
\Bibitem{BogDegTis01}
\by K.~L.~Bogomolov, L.~M.~Degtyarev, V.~F.~Tishkin
\paper A~variational method for generation of high aspect-ratio regular adaptive grids
\jour Matem. Mod.
\yr 2001
\vol 13
\issue 5
\pages 11--28
\mathnet{http://mi.mathnet.ru/mm711}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1863073}
\zmath{https://zbmath.org/?q=an:0986.65120}
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    		Математическое моделирование
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