A~variational method for generation of high aspect-ratio regular adaptive grids
Matematičeskoe modelirovanie, Tome 13 (2001) no. 5, pp. 11-28.

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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.
@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},
     publisher = {mathdoc},
     volume = {13},
     number = {5},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2001_13_5_a1/}
}
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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/