A numerical conformal mapping method for harmonic mixed boundary value problems

We describe a simple and versatile technique for the numerical solution of harmonic mixed boundary value problems in simply-connected domains. This technique is based on the theory of Riemann-Hilbert problems, and involves only the use of already existing conformal mapping and quadrature routines.

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Bibliographic Details
Published in:Journal of scientific computing 1996, Vol.11 (3), p.167-178
Main Authors: KARAGEORGHIS, A, STYLIANOPOULOS, N. S, ZACHARIADES, H. A
Format: Article
Language:English
Subjects:
Exact sciences and technology
Functions of a complex variable
Mathematical analysis
Mathematics
Potential theory
Sciences and techniques of general use
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Description
Summary:We describe a simple and versatile technique for the numerical solution of harmonic mixed boundary value problems in simply-connected domains. This technique is based on the theory of Riemann-Hilbert problems, and involves only the use of already existing conformal mapping and quadrature routines.
ISSN:0885-7474
1573-7691
DOI:10.1007/BF02088814