Error analysis of the Bergman kernel method with singular basis functions
Numerical Analysis
2011-01-04 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1101.0551,
title = {Error analysis of the Bergman kernel method with singular basis functions},
author = {M. Lytrides and N. Stylianopoulos},
journal= {arXiv preprint arXiv:1101.0551},
year = {2011}
}
Comments
37 pages, 1 figure