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Comparison of selected FETI coarse space projector implementation strategies

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F20%3A00534423" target="_blank" >RIV/68145535:_____/20:00534423 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989100:27120/20:10245150 RIV/61989100:27240/20:10245150 RIV/61989100:27730/20:10245150

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0167819120300016?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0167819120300016?via%3Dihub</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.parco.2020.102608" target="_blank" >10.1016/j.parco.2020.102608</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Comparison of selected FETI coarse space projector implementation strategies

  • Original language description

    This paper deals with scalability improvements of the FETI (Finite Element Tearing and Interconnecting) domain decomposition method solving elliptic PDEs. The main bottleneck of FETI is the solution of a coarse problem that is part of the projector onto the natural coarse space. This paper introduces and compares two strategies for the FETI coarse problem solution. The first one is a classical solution with either direct (factorization + forward/backward substitutions) or iterative solvers (conjugate gradient and deflated conjugate gradient methods). The second one is the assembly of an explicit inverse using a direct solver with the coarse problem solution realised by dense matrix-vector products. MPI subcommunica- tors are employed to increase arithmetic intensity and, crucially, to decrease the communication cost. PERMON library for quadratic programming implementing the Total FETI variant of FETI was used for the numerical experiments.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2020

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Parallel Computing

  • ISSN

    0167-8191

  • e-ISSN

  • Volume of the periodical

    93

  • Issue of the periodical within the volume

    May 2020

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    11

  • Pages from-to

    102608

  • UT code for WoS article

    000527290700001

  • EID of the result in the Scopus database

    2-s2.0-85079201095