Numerical Conformal Mapping onto the Parabolic, Elliptic and Hyperbolic Slit Domains

2017 ◽  
Vol 41 (4) ◽  
pp. 2067-2087 ◽  
Author(s):  
Mohamed M. S. Nasser
Keyword(s):  
Conformal Mapping ◽  
Numerical Conformal Mapping

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.”

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