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

Abstract

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.”

Keywords

• Extremal weighted polynomial
• fundamental solutions method
• unbounded multiply connected domain
• numerical conformal mapping
• invariant and dual.