Solution the Dirichlet Problem for Multiply Connected Domain Using Numerical Conformal Mapping

2019 ◽  
Vol 13 (3) ◽  
pp. 1419-1429
Author(s):  
D. F. Abzalilov ◽  
P. N. Ivanshin ◽  
E. A. Shirokova
Keyword(s):  
Dirichlet Problem ◽  
Conformal Mapping ◽  
Connected Domain ◽  
Multiply Connected Domain ◽  
Numerical Conformal Mapping ◽  
Multiply Connected

scholarly journals Theoretical scheme on numerical conformal mapping of unbounded multiply connected domain by fundamental solutions method

2000 ◽  
Vol 24 (2) ◽  
pp. 129-137 ◽  
Author(s):  
Tetsuo Inoue ◽  
Hideo Kuhara ◽  
Kaname Amano ◽  
Dai Okano
Keyword(s):  
Dirichlet Problem ◽  
Conformal Mapping ◽  
Fundamental Solutions ◽  
Multiply Connected Domains ◽  
Multiply Connected Domain ◽  
Numerical Conformal Mapping ◽  
Multiply Connected ◽  
Theoretical Scheme ◽  
Weighted Polynomials ◽  
Numerical Conformal Mappings

A potentially theoretical scheme in the fundamental solutions method, different from the conventional one, is proposed for numerical conformal mappings of unbounded multiply connected domains. The scheme is introduced from an algorithm on numerical Dirichlet problem, based on the asymptotic theorem on extremal weighted polynomials. The scheme introduced in this paper has the characteristic called “invariant and dual.”

scholarly journals Experiment on numerical conformal mapping of unbounded multiply connected domain in fundamental solutions method

2001 ◽  
Vol 26 (1) ◽  
pp. 55-63
Author(s):  
Tetsuo Inoue ◽  
Hideo Kuhara ◽  
Kaname Amano ◽  
Dai Okano
Keyword(s):  
Conformal Mapping ◽  
Fundamental Solutions ◽  
High Accuracy ◽  
Conformal Mappings ◽  
Multiply Connected Domains ◽  
Multiply Connected Domain ◽  
Numerical Conformal Mapping ◽  
Multiply Connected ◽  
Weighted Polynomials ◽  
Numerical Conformal Mappings

We are concerned with the experiment on numerical conformal mappings. A potentially theoretical scheme in the fundamental solutions method, different from the conventional one, has been recently proposed for numerical conformal mappings of unbounded multiply connected domains. The scheme is based on the asymptotic theorem on extremal weighted polynomials. The scheme has the characteristic called “invariant and dual.” Applying the scheme for typical examples, we will show that the numerical results of high accuracy may be obtained.

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