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DTSTAMP:20260421T090515Z
LOCATION:Plenary Room (Bldg. 6 - 001)
DTSTART;TZID=Europe/Stockholm:20260629T192200
DTEND;TZID=Europe/Stockholm:20260629T192300
UID:submissions.pasc-conference.org_PASC26_sess124_pos106@linklings.com
SUMMARY:Algebraic Multi-Level Methods for Lattice Dirac Operators in LQCD
DESCRIPTION:Pauline Schauerte (University of Bonn, Fraunhofer SCAI) and Ja
 ime Fabian Nieto Castellanos (Forschungszentrum Jülich, University of Bonn
 )\n\nThe main computational challenge in Lattice QCD is the efficient and 
 scalable approximate solution of the Dirac equation Dz = b, where D denote
 s the Dirac matrix on a four-dimensional space-time lattice. Modern solver
 s for this case are based on Adaptive Multigrid. Among them, Domain Decomp
 osition Adaptive Algebraic Multigrid (DDalphaAMG) is particularly effectiv
 e and serves as the foundation for our work. On the other hand, Aggregativ
 e Multiscale Algebraic Multigrid (AM-AMG) is an AMG setup method, which fo
 llows the idea of a geometric solver for reservoir modeling, but is comple
 tely algebraic. This was developed for reservoir simulations. We adapted A
 M-AMG to a point-based approach that is able to handle the Dirac equation 
 in the Schwinger model, a testbed for QCD. This approach exploits the bloc
 k structure of the 2d Dirac matrix. We compare the performance of AM-AMG v
 s DDalphaAMG when used as preconditioners for FGMRES to invert D. Generall
 y, AM-AMG handles the Schwinger model well but there are well known issues
  when approaching the critical masses. For the time being, DDalphaAMG stil
 l has the better performance, but the current results show that AM-AMG  ha
 s the potential to become the solver of choice.\n\n
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