Construction of conformal mappings by generalized polarization tensors |
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Authors: | Hyeonbae Kang Hyundae Lee Mikyoung Lim |
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Institution: | 1. Department of Mathematics, Inha University, Incheon 402‐751, Korea;2. Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon 305‐701, Korea |
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Abstract: | 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. Copyright © 2014 John Wiley & Sons, Ltd. |
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Keywords: | Riemann mapping generalized polarization tensor numerical computation Neumann– Poincaré operator |
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