An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel
We present an integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits. Using the boundary relationship satisfied by the mapping function, a related system of integral equation is constructed involving the unknown circular radii. For numerical...
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my.utm.147472020-06-30T08:38:54Z http://eprints.utm.my/id/eprint/14747/ An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel Hu, Laey Nee M. Murid, Ali H. Mohamad, Mohd. Nor Q Science (General) We present an integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits. Using the boundary relationship satisfied by the mapping function, a related system of integral equation is constructed involving the unknown circular radii. For numerical experiment on triply connected regions, the integral equation is discretized which leads to a system of non-linear equations. The system is then solved using an optimization method. Numerical examples reveal that the present method offers an effective solution technique for the conformal mapping problem when the boundaries are sufficiently smooth. 2009 Conference or Workshop Item PeerReviewed Hu, Laey Nee and M. Murid, Ali H. and Mohamad, Mohd. Nor (2009) An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel. In: Proceedings of the 5th Asian Mathematical Conference, 2009, Putra World Trade Centre, KL. http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:99360 |
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Q Science (General) Hu, Laey Nee M. Murid, Ali H. Mohamad, Mohd. Nor An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel |
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We present an integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits. Using the boundary relationship satisfied by the mapping function, a related system of integral equation is constructed involving the unknown circular radii. For numerical experiment on triply connected regions, the integral equation is discretized which leads to a system of non-linear equations. The system is then solved using an optimization method. Numerical examples reveal that the present method offers an effective solution technique for the conformal mapping problem when the boundaries are sufficiently smooth. |
format |
Conference or Workshop Item |
author |
Hu, Laey Nee M. Murid, Ali H. Mohamad, Mohd. Nor |
author_facet |
Hu, Laey Nee M. Murid, Ali H. Mohamad, Mohd. Nor |
author_sort |
Hu, Laey Nee |
title |
An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel |
title_short |
An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel |
title_full |
An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel |
title_fullStr |
An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel |
title_full_unstemmed |
An integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel |
title_sort |
integral equation method for conformal mapping of multiply connected regions onto an annulus with circular slits via the neumann kernel |
publishDate |
2009 |
url |
http://eprints.utm.my/id/eprint/14747/ http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:99360 |
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