Solving Laplace problems with the AAA algorithm
Numerical Analysis
2020-01-28 v1 Numerical Analysis
Abstract
We present a novel application of the recently developed AAA algorithm to the solution of Laplace 2D problems; an application to conformal mapping is also shown as a particular case. These classes of problems have also been addressed by means of dedicated software implementations based on rational function approximation, with unprecedented speed and accuracy. Still we show how the AAA algorithm, conceived to be a flexible and domain independent method, is capable of addressing these situations within a unified framework.
Cite
@article{arxiv.2001.09439,
title = {Solving Laplace problems with the AAA algorithm},
author = {Stefano Costa},
journal= {arXiv preprint arXiv:2001.09439},
year = {2020}
}
Comments
12 pages, 9 figures