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Multilevel BDDC for incompressible Navier-Stokes equations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00535448" target="_blank" >RIV/67985840:_____/20:00535448 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21220/20:00345304

  • Result on the web

    <a href="https://doi.org/10.1137/19M1276479" target="_blank" >https://doi.org/10.1137/19M1276479</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1137/19M1276479" target="_blank" >10.1137/19M1276479</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Multilevel BDDC for incompressible Navier-Stokes equations

  • Original language description

    We present an approach to the numerical solution of steady Navier–Stokes equations. Approximation by the finite element method (FEM) leads to a nonlinear saddle-point system. The system is linearized by the Picard iteration, which leads to a sequence of linear saddle-point systems with nonsymmetric matrices. In this paper, we study the application of Balancing Domain Decomposition based on Constraints (BDDC) to these systems. In particular, we formulate the multilevel BDDC method and explore its applicability for the benchmark problem of lid-driven cavity. Another contribution of the paper is describing the development and application of our BDDC solver to real-world problems of oil flow in hydrostatic bearings.

  • 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

    <a href="/en/project/GA18-09628S" target="_blank" >GA18-09628S: Advanced flow-field analysis</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

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

    SIAM Journal on Scientific Computing

  • ISSN

    1064-8275

  • e-ISSN

  • Volume of the periodical

    42

  • Issue of the periodical within the volume

    6

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    25

  • Pages from-to

    "C359"-"C383"

  • UT code for WoS article

    000600650400007

  • EID of the result in the Scopus database

    2-s2.0-85097346698