Kozlov-Maz'ya iteration as a form of Landweber iteration
Analysis of PDEs
2011-07-13 v1
Abstract
We consider the alternating method of Kozlov and Maz'ya for solving the Cauchy problem for elliptic boundary-value problems. Considering the case of the Laplacian, we show that this method can be recast as a form of Landweber iteration. In addition to conceptual advantages, this observation leads to some practical improvements. We show how to accelerate Kozlov-Maz'ya iteration using the conjugate gradient algorithm, and we show how to modify the method to obtain a more practical stopping criterion.
Keywords
Cite
@article{arxiv.1107.2194,
title = {Kozlov-Maz'ya iteration as a form of Landweber iteration},
author = {David Maxwell},
journal= {arXiv preprint arXiv:1107.2194},
year = {2011}
}
Comments
28 pages, 4 figures