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
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/}
}
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/