A Block Preconditioner for Scalable Large Scale Finite Element Incompressible Flow Simulations

We present a block preconditioner, based on the algebraic multigrid method, for solving systems of linear equations, that arise in incompressible flow simulations performed by the stabilized finite element method. We select a set of adjustable parameters for the preconditioner and show how to tune t...

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Detalles Bibliográficos
Autores principales: Goik, Damian, Banaś, Krzysztof
Formato: Online Artículo Texto
Lenguaje:English
Publicado: 2020
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7304049/
http://dx.doi.org/10.1007/978-3-030-50420-5_15
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author Goik, Damian
Banaś, Krzysztof
author_facet Goik, Damian
Banaś, Krzysztof
author_sort Goik, Damian
collection PubMed
description We present a block preconditioner, based on the algebraic multigrid method, for solving systems of linear equations, that arise in incompressible flow simulations performed by the stabilized finite element method. We select a set of adjustable parameters for the preconditioner and show how to tune the parameters in order to obtain fast convergence of the standard GMRES solver in which the preconditioner is employed. Additionally, we show some details of the parallel implementation of the preconditioner and the achieved scalability of the solver in large scale parallel incompressible flow simulations.
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spelling pubmed-73040492020-06-19 A Block Preconditioner for Scalable Large Scale Finite Element Incompressible Flow Simulations Goik, Damian Banaś, Krzysztof Computational Science – ICCS 2020 Article We present a block preconditioner, based on the algebraic multigrid method, for solving systems of linear equations, that arise in incompressible flow simulations performed by the stabilized finite element method. We select a set of adjustable parameters for the preconditioner and show how to tune the parameters in order to obtain fast convergence of the standard GMRES solver in which the preconditioner is employed. Additionally, we show some details of the parallel implementation of the preconditioner and the achieved scalability of the solver in large scale parallel incompressible flow simulations. 2020-05-22 /pmc/articles/PMC7304049/ http://dx.doi.org/10.1007/978-3-030-50420-5_15 Text en © Springer Nature Switzerland AG 2020 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Goik, Damian
Banaś, Krzysztof
A Block Preconditioner for Scalable Large Scale Finite Element Incompressible Flow Simulations
title A Block Preconditioner for Scalable Large Scale Finite Element Incompressible Flow Simulations
title_full A Block Preconditioner for Scalable Large Scale Finite Element Incompressible Flow Simulations
title_fullStr A Block Preconditioner for Scalable Large Scale Finite Element Incompressible Flow Simulations
title_full_unstemmed A Block Preconditioner for Scalable Large Scale Finite Element Incompressible Flow Simulations
title_short A Block Preconditioner for Scalable Large Scale Finite Element Incompressible Flow Simulations
title_sort block preconditioner for scalable large scale finite element incompressible flow simulations
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7304049/
http://dx.doi.org/10.1007/978-3-030-50420-5_15
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