A Vanka-type multigrid solver for complex-shifted Laplacian systems from diagonalization-based parallel-in-time algorithms
Numerical Analysis
2022-03-22 v1 Numerical Analysis
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.
Cite
@article{arxiv.2203.11154,
title = {A Vanka-type multigrid solver for complex-shifted Laplacian systems from diagonalization-based parallel-in-time algorithms},
author = {Yunhui He and Jun Liu},
journal= {arXiv preprint arXiv:2203.11154},
year = {2022}
}
Comments
6 pages; 1 table and 3 figures