Numerical conformal mapping for exterior regions via the kerzman-stein kernel
A simple numerical method is described for computing a conformal map from a domain exterior to a smooth Jordan curve in the complex plane onto the exterior of the unit disk. The numerical method is based on a boundary integral equation similar to the Kerzman-Stein integral equation for interior mapp...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
The Rocky Mountain Mathematics Consortium, Rocky Mountain Mathematics Consortium
1998
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| Subjects: | |
| Online Access: | http://eprints.utm.my/9093/ http://eprints.utm.my/9093/1/AHMMURID1998_NumericalConformalMappingForExterior.pdf |
| Summary: | A simple numerical method is described for computing a conformal map from a domain exterior to a smooth Jordan curve in the complex plane onto the exterior of the unit disk. The numerical method is based on a boundary integral equation similar to the Kerzman-Stein integral equation for interior mappings. Typical examples show that numerical results of high accuracy can be obtained provided that the boundaries are smooth |
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