Numerical conformal mapping of unbounded multiply connected regions onto circular slit regions
This paper presents a boundary integral equation method for conformal mapping of unbounded multiply connected regions onto circular slit regions. Three linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on an unbounded multiply connected...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ibnu Sina Institute for Fundamental Science Studies, Universiti Teknologi Malaysia
2012
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| Subjects: | |
| Online Access: | http://eprints.utm.my/id/eprint/29074/1/AliHassanMohamed2012_NumericalConformalMappingofUnbounded.pdf http://eprints.utm.my/id/eprint/29074/ http://mjfas.ibnusina.utm.my/index.php/jfs/article/viewFile/269/193 |
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| Summary: | This paper presents a boundary integral equation method for conformal mapping of unbounded multiply connected regions onto circular slit regions. Three linear boundary integral equations are constructed from a boundary relationship satisfied by an analytic function on an unbounded multiply connected region. The integral equations are uniquely solvable. The kernels involved in these integral equations are the classical and the adjoint generalized Neumann kernels. Several numerical examples are presented. |
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