Volume 2, pp. 22-43, 1994.

Multigrid conformal mapping via the Szegö Kernel

Barry Lee and Manfred R. Trummer

Abstract

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.

Full Text (PDF) [365 KB]

Key words

conformal mapping, multigrid, Szegő kernel, integral equations.

AMS subject classifications

45L10, 45B05, 65R20, 65F20, 65F10.

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