Anisotropic, interpolatory subdivision and multigrid
Numerical Analysis
2017-08-14 v1
Abstract
In this paper, we present a family of multivariate grid transfer operators appropriate for anisotropic multigrid methods. Our grid transfer operators are derived from a new family of anisotropic interpolatory subdivision schemes. We study the minimality, polynomial reproduction and convergence properties of these interpolatory schemes and link their properties to the convergence and optimality of the corresponding multigrid methods. We compare the performance of our interpolarory grid transfer operators with the ones derived from a family of corresponding approximating subdivision schemes.
Keywords
Cite
@article{arxiv.1708.03469,
title = {Anisotropic, interpolatory subdivision and multigrid},
author = {Maria Charina and Marco Donatelli and Lucia Romani and Valentina Turati},
journal= {arXiv preprint arXiv:1708.03469},
year = {2017}
}