Numerical conformal mapping via the Bergman kernel
A new method to compute the Riemann mapping function via the Bergman kernel is presented. The method expresses the Bergman kernel as the solution of a second-kind integral equation involving the Neumann kernel. For symmetric regions, the integral equation can be transformed into a new one that uses...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Elsevier Science B.V.
1997
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/7541/ http://dx.doi.org/10.1016/S0377-0427(97)00091-5 |
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| Institution: | Universiti Teknologi Malaysia |
| Summary: | A new method to compute the Riemann mapping function via the Bergman kernel is presented. The method expresses the Bergman kernel as the solution of a second-kind integral equation involving the Neumann kernel. For symmetric regions, the integral equation can be transformed into a new one that uses only a small part of the original boundary. Numerical implementations on some test regions are also presented |
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