Optimal Chebyshev Smoothers and One-sided V-cycles

This paper considers the use of 4th-kind and optimized 4th-kind Chebyshev, polynomials as accelerators for multigrid smoothing. These methods are developed in James Lottes’s excellent paper, Optimal polynomial smoothers for multigrid V-cycles. We extend the analysis of Lottes to the case of one-sided V-cycles, and show that, for large values of the multigrid approximation constant, smoothing with $2k$-order Chebyshev polynomials on one-side yields superior convergence to smoothing with $k$-order Chebyshev polynomials on both sides.

Link to paper

bibtex entry:

@article{phillips2022optimal,
  title={Optimal Chebyshev Smoothers and One-sided V-cycles},
  author={Phillips, Malachi and Fischer, Paul},
  journal={arXiv preprint arXiv:2210.03179},
  year={2022}
}