TY - JOUR
T1 - A General-Purpose AMG Linear Solver for High Performance Computing
AU - Isotton, Giovanni
AU - Frigo, Matteo
AU - Spiezia, Nicolò
AU - Koric, Seid
AU - Lu, Qiyue
AU - Janna, Carlo
N1 - Publisher Copyright:
© 2021, Scipedia S.L. All rights reserved.
PY - 2021/11/3
Y1 - 2021/11/3
N2 - 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.
AB - 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.
KW - Algebraic multigrid
KW - HPC
KW - Numerical simulations
KW - Preconditioning
UR - http://www.scopus.com/inward/record.url?scp=85122159708&partnerID=8YFLogxK
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U2 - 10.23967/wccm-eccomas.2020.020
DO - 10.23967/wccm-eccomas.2020.020
M3 - Conference article
SN - 2696-6999
VL - 1400
JO - World Congress in Computational Mechanics and ECCOMAS Congress
JF - World Congress in Computational Mechanics and ECCOMAS Congress
T2 - 14th World Congress of Computational Mechanics and ECCOMAS Congress, WCCM-ECCOMAS 2020
Y2 - 11 January 2021 through 15 January 2021
ER -