Geodesic
Orthogonal grids on meander-like regions
Electronic transactions on numerical analysis, Tome 34 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Lemniscates are level curves of the absolute value of univariate complex polynomials. We consider the approximation of meander-like regions (i.e., regions similar to meandering rivers) by pairs of confocal lemniscates that are stitched together continuously. We look at orthogonal grids on these types of plane regions. The main application is in the area of numerical solution of partial differential equations.
Classification : 65L50, 65M50, 65N50
Keywords: lemniscate, orthogonal grid, path approximation 
@article{ETNA_2009__34__a15,
     author = {Lentini, Marianela and Paluszny, Marco},
     title = {Orthogonal grids on meander-like regions},
     journal = {Electronic transactions on numerical analysis},
     publisher = {mathdoc},
     volume = {34},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__34__a15/}
}
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Lentini, Marianela; Paluszny, Marco. Orthogonal grids on meander-like regions. Electronic transactions on numerical analysis, Tome 34 (2009). http://geodesic.mathdoc.fr/item/ETNA_2009__34__a15/