Publication: Numerical conformal mapping and its inverse of unbounded multiply connected regions onto logarithmic spiral slit regions and straight slit regions
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Date
2014
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Publisher
Royal Society
Abstract
This paper presents a boundary integral equation method with the adjoint generalized Neumann kernel for computing conformal mapping of unbounded multiply connected regions and its inverse onto several classes of canonical regions. For each canonical region, two integral equations are solved before one can approximate the boundary values of the mapping function. Cauchy's-type integrals are used for computing the mapping function and its inverse for interior points. This method also works for regions with piecewise smooth boundaries. Three examples are given to illustrate the effectiveness of the proposed method. � 2013 The Author(s) Published by the Royal Society. All rights reserved.
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Keywords
Adjoint generalized Neumann kernel, Numerical conformal mapping, Unbounded multiply connected regions, Boundary integral equations, Boundary integral equation method, Boundary values, Generalized Neumann kernel, Logarithmic spiral, Mapping functions, Multiply connected regions, Numerical conformal mapping, Piecewise smooth boundary, Conformal mapping