Construction of conformal mappings by generalized polarization tensors

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We present a new systematic method to compute the Riemann mapping from the outside of the unit disc to the outside of a simply connected domain. We derive explicit relations between the coefficients of the Riemann mapping and the generalized polarization tensors associated with the domain. Because the generalized polarization tensors can be computed numerically, we are able to compute the coefficients of the Riemann mapping using these relations. Effectiveness of the method is validated by numerical examples.
Publisher
WILEY-BLACKWELL
Issue Date
2015-06
Language
English
Article Type
Article
Keywords

PART I; INHOMOGENEITIES; RECONSTRUCTION

Citation

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, v.38, no.9, pp.1847 - 1854

ISSN
0170-4214
DOI
10.1002/mma.3195
URI
http://hdl.handle.net/10203/199053
Appears in Collection
MA-Journal Papers(저널논문)
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