Performance of the Scheduled Relaxation Jacobi method in a geometric multilevel setting. I. Linear case

I investigate the suitability of the Scheduled-Relaxation-Jacobi method as a smoother within a geometric multilevel (ML) solver. Its performance in the solution of a linear elliptic equation is measured, based on two metrics: absolute performance (measured by the residual reduction in a fixed number...

Full description

Saved in:
Bibliographic Details
Published in:IOP SciNotes 2021-03, Vol.2 (1), p.15001
Main Author: Bentivegna, Eloisa
Format: Article
Language:English
Subjects:
Geometric Multigrid
Parallel Algorithms
Relaxation Methods
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:I investigate the suitability of the Scheduled-Relaxation-Jacobi method as a smoother within a geometric multilevel (ML) solver. Its performance in the solution of a linear elliptic equation is measured, based on two metrics: absolute performance (measured by the residual reduction in a fixed number of iterations), and parallel scalability. I discuss the theoretical expectations on the effect of this hybrid scheme on the solution iterate and, especially, the solution error, and confirm them numerically.
ISSN:2633-1357
2633-1357
DOI:10.1088/2633-1357/abd8e3