Multigrid conformal mapping via the Szegő kernel
Electronic transactions on numerical analysis, Tome 2 (1994), pp. 22-43
We introduce a multilevel scheme to solve a second kind integral equation which is important in computing conformal maps. This scheme outperforms conjugate gradient methods previously employed for smooth regions. An analysis of the two-grid scheme is provided.
Classification : 45L10, 45B05, 65R20, 65F20, 65F10
Keywords: conformal mapping, multigrid, szegacute$\Acute o$ kernel, integral equations
@article{ETNA_1994__2__a11,
     author = {Lee,  Barry and Trummer,  Manfred R.},
     title = {Multigrid conformal mapping via the {Szeg\H{o}} kernel},
     journal = {Electronic transactions on numerical analysis},
     pages = {22--43},
     year = {1994},
     volume = {2},
     zbl = {0809.65133},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1994__2__a11/}
}
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%A Trummer,  Manfred R.
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Lee,  Barry; Trummer,  Manfred R. Multigrid conformal mapping via the Szegő kernel. Electronic transactions on numerical analysis, Tome 2 (1994), pp. 22-43. http://geodesic.mathdoc.fr/item/ETNA_1994__2__a11/