Error analysis of the Bergman kernel method with singular basis functions

Details Error analysis of the Bergman kernel method with singular basis functions Error analysis of the Bergman kernel method with singular basis functions

2011-01-03

arxiv.org/abs/1101.0551v1

Mathematics

Numerical Analysis

37 pages, 1 figure

Scientific paper

Let G be a bounded Jordan domain in the complex plane with piecewise analytic boundary. We present theoretical estimates and numerical evidence for certain phenomena, regarding the application of the Bergman kernel method with algebraic and pole singular basis functions, for approximating the conformal mapping of G onto the normalized disk. In this way, we complete the task of providing full theoretical justification of this method.

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