A General-Purpose AMG Linear Solver for High Performance Computing

Giovanni Isotton, Matteo Frigo, Nicolò Spiezia, Seid Koric, Qiyue Lu, Carlo Janna

Research output: Contribution to journalConference articlepeer-review


The numerical simulation of modern engineering problems via finite elements requires the solution of sparse linear systems of millions or even billions of unknowns. The algebraic multigrid (AMG) methods are the most common choice as linear solvers because of their fast convergence even for large-size problems. In this communication, we propose Chronos, a massively parallel implementation of a novel AMG framework, specifically designed to address complex problems by adapting its components, from the smoother, to the coarse grid correction and prolongation to the problem at hand. This work demonstrates not only the numerical performance of the proposed library, but also its robustness and adaptability to very challenging matrices, arising from different fields of application.

Original languageEnglish (US)
JournalWorld Congress in Computational Mechanics and ECCOMAS Congress
StatePublished - Nov 3 2021
Event14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020 - Virtual, Online
Duration: Jan 11 2021Jan 15 2021


  • Algebraic multigrid
  • HPC
  • Numerical simulations
  • Preconditioning

ASJC Scopus subject areas

  • Mechanical Engineering


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