A 3-dimensional Bergman Kernel method with applications to rectangular domains

In this paper we revisit the so-called Bergman kernel method - BKM - for solving conformal mapping problems and propose a generalized BKM-approach to extend the theory to 3-dimensional mapping problems. A special software package for quaternions was developed for the numerical experiments.

Bibliographic Details
Main Author: Bock, S. (author)
Other Authors: Falcão, M. I. (author), Guerlebeck, K. (author), Malonek, H. R. (author)
Format: article
Language:eng
Published: 2006
Subjects:
Numerical conformal mapping
Bergman Kernel
Quaternions
Science & Technology
Online Access:http://hdl.handle.net/1822/5940
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/5940
Description
Summary:In this paper we revisit the so-called Bergman kernel method - BKM - for solving conformal mapping problems and propose a generalized BKM-approach to extend the theory to 3-dimensional mapping problems. A special software package for quaternions was developed for the numerical experiments.

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