Multi-Level Iterative Solvers for Lattice Dirac Operators (B06)

• Subject Area: Nuclear and Elementary Particle Physics, Quantum Mechanics, Relativity, Fields ; Mathematics
• Term: since 2024
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 511713970

The main challenge in Lattice Quantum Chromodynamics (LQCD) computations is efficiently solving large sparse linear systems of the form Dz = b, where D depends on a gauge field U and a mass constant m. Current simulation methods spend more than 90% of the computational time on this task, making it crucial to develop more efficient scalable linear solvers for LQCD. This project aims to develop a robust and efficient linear solver using novel algebraic multigrid / algebraic multiscale techniques and integrating Machine Learning (ML) techniques into the solver setup.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1639: NuMeriQS: Numerical Methods for Dynamics and Structure Formation in Quantum Systems
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Heads: Professor Dr. Stefan Krieg; Professor Dr. Marc Alexander Schweitzer