28 July 2024 to 3 August 2024
Europe/London timezone

Chiral rank-$k$ truncations for the multigrid preconditioner of Wilson fermions

1 Aug 2024, 11:50
20m
Talk Algorithms and Artificial Intelligence Algorithms and artificial intelligence

Speaker

Travis Whyte (Trinity College Dublin)

Description

A modification to the setup algorithm for the multigrid preconditioner of Wilson fermions is presented. A larger basis of test vectors than used in conventional multigrid is calculated by the smoother and is truncated by a singular value decomposition on the chiral components of the test vectors. The truncated basis is used to form the prolongation and restriction matrices of the multigrid hierarchy. The efficacy of the approach is demonstrated on an anisotropic lattice with $m_{\pi} \approx$ 280 MeV and an isotropic lattice with $m_{\pi} \approx$ 220 MeV. The scaling of the method with lattice volume is also examined.

Primary author

Travis Whyte (Trinity College Dublin)

Co-authors

Dr Andreas Stathopoulos (William & Mary) Eloy Romero Alcalde (Jefferson Lab)

Presentation materials