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A Vanka-type multigrid solver for complex-shifted Laplacian systems from diagonalization-based parallel-in-time algorithms.

Authors :
He, Yunhui
Liu, Jun
Source :
Applied Mathematics Letters. Oct2022, Vol. 132, pN.PAG-N.PAG. 1p.
Publication Year :
2022

Abstract

We propose and analyze a Vanka-type multigrid solver for solving a sequence of complex-shifted Laplacian systems arising in diagonalization-based parallel-in-time algorithms for evolutionary equations. Under suitable assumption, local Fourier analysis shows the proposed Vanka-type smoother achieves a uniform smoothing factor, which is verified by several numerical examples. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
08939659
Volume :
132
Database :
Academic Search Index
Journal :
Applied Mathematics Letters
Publication Type :
Academic Journal
Accession number :
157329272
Full Text :
https://doi.org/10.1016/j.aml.2022.108125