Geodesic
Orthogonal grids on meander-like regions
Electronic transactions on numerical analysis, Tome 34 (2009)
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},
     year = {2009},
     volume = {34},
     zbl = {1171.65067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2009__34__a15/}
}
TY  - JOUR
AU  - Lentini,  Marianela
AU  - Paluszny,  Marco
TI  - Orthogonal grids on meander-like regions
JO  - Electronic transactions on numerical analysis
PY  - 2009
VL  - 34
UR  - http://geodesic.mathdoc.fr/item/ETNA_2009__34__a15/
LA  - en
ID  - ETNA_2009__34__a15
ER  - 
%0 Journal Article
%A Lentini,  Marianela
%A Paluszny,  Marco
%T Orthogonal grids on meander-like regions
%J Electronic transactions on numerical analysis
%D 2009
%V 34
%U http://geodesic.mathdoc.fr/item/ETNA_2009__34__a15/
%G en
%F ETNA_2009__34__a15
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/