| Autor: |
Ivanshin, Pyotr N., Shirokova, Elena A. |
| Předmět: |
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| Zdroj: |
Journal of Applied Mathematics & Computational Mechanics; 2020, Vol. 19 Issue 2, p73-84, 12p |
| Abstrakt: |
The method of boundary curve reparametrization is generalized to the case of multiply connected domains. We construct the approximate analytical conformal mapping of the unit disk with m circular slits and n - m radial slits and an annulus with (m - 1) circular slits and n - m radial slits onto an arbitrary given (n+1) multiply connected finite domain with a smooth boundary. The method is based on extension of the Lichtenstein-Gershgorin equation to a multiply connected domain. The proposed method is reduced to the solution of a linear system with unknown Fourier coefficients. The approximate mapping function has the form of a Cauchy integral. Numerical examples demonstrate that the proposed method is effective in computations. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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