Scalability Challenges of an Industrial Implicit Finite Element Code

Rouet, François-Henry; Ashcraft, Cleve; Dawson, Jef; Grimes, Roger G.; Guleryuz, Erman; Korić, Seid; Lucas, Robert F.; Ong, James S.; Simons, Todd A.; Zhu, Tingting

doi:10.1109/ipdps47924.2020.00059

Cited by 2 publications

(2 citation statements)

References 26 publications

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“…AMG optimality is obtained through the complementary action of the smoother, responsible to dump the error components associated to high frequencies, and the coarse grid correction that takes care of the lower part of the spectrum. Unfortunately, in ill-conditioned real-world problems the standard AMG method is far to be optimal with its performance strictly related to a proper selection of the set-up parameters [7,13].…”

Section: Introductionmentioning

confidence: 99%

A General-Purpose AMG Linear Solver for High Performance Computing

Isotton¹,

Frigo²,

Spiezia³

et al. 2021

14th WCCM-ECCOMAS Congress

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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.

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Section: Introductionmentioning

confidence: 99%

A General-Purpose AMG Linear Solver for High Performance Computing

Isotton¹,

Frigo²,

Spiezia³

et al. 2021

14th WCCM-ECCOMAS Congress

View full text Add to dashboard Cite

show abstract

“…There are several methods to solve 1, both direct [33,42,2] and iterative [46,18,3], giving excellent performance on parallel computers. The former are generally preferred in industrial applications as they are typically more robust and require no experience from the user.…”

mentioning

confidence: 99%

Chronos: A general purpose classical AMG solver for High Performance Computing

Isotton¹,

Frigo²,

Spiezia³

et al. 2021

Preprint

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The numerical simulation of the physical systems has become in recent years a fundamental tool to perform analyses and predictions in several application fields, spanning from industry to the academy. As far as large scale simulations are concerned, one of the most computationally expensive task is the solution of linear systems arising from the discretization of the partial differential equations governing the physical processes. This work presents Chronos, a collection of linear algebra functions specifically designed for the solution of large, sparse linear systems on massively parallel computers (https://www.m3eweb.it/chronos/). Its emphasis is on modern, effective and scalable AMG preconditioners for High Performance Computing (HPC). This work describes the numerical algorithms and the main structures of this software suite, especially from the implementation standpoint. Several numerical results arising from practical mechanics and fluid dynamics applications with hundreds of millions of unknowns are addressed and compared with other state-of-the-art linear solvers, proving Chronos efficiency and robustness.

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Scalability Challenges of an Industrial Implicit Finite Element Code

Cited by 2 publications

References 26 publications

A General-Purpose AMG Linear Solver for High Performance Computing

A General-Purpose AMG Linear Solver for High Performance Computing

Chronos: A general purpose classical AMG solver for High Performance Computing

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